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Equipartition theorem

Index Equipartition theorem

In classical statistical mechanics, the equipartition theorem relates the temperature of a system to its average energies. [1]

207 relations: Acceleration, Albert Einstein, Alexis Thérèse Petit, Angular velocity, Annalen der Physik, Annales de chimie et de physique, Approximation error, Astrophysics, Atom, Avogadro constant, Beer, Black-body radiation, Boltzmann constant, Boltzmann distribution, Bose–Einstein condensate, Brownian motion, Buoyancy, Calorie, Canonical coordinates, Canonical ensemble, Carbon, Carbon monoxide, Chandrasekhar limit, Chaos theory, Circular symmetry, Classical mechanics, Classical physics, Configuration space (physics), Conservative force, Continuum (measurement), Debye model, Degenerate matter, Degrees of freedom (physics and chemistry), Density, Density of states, Diamond, Dielectric, Dielectric spectroscopy, Differential equation, Diffusion, Divergence, Divergence theorem, Drag (physics), Drude model, Dulong–Petit law, Dynamical billiards, Dynamical system, Effusion, Einstein solid, Electromagnetic field, ..., Electron, Electronic oscillator, Electronvolt, Energy, Enriched uranium, Enrico Fermi, Ensemble average (statistical mechanics), Entropy, Ergodic hypothesis, Ergodic theory, Ergodicity, Euclidean vector, Exponential function, Fermi–Pasta–Ulam–Tsingou problem, Fermionic condensate, Flow birefringence, Fluorescence anisotropy, Fundamental frequency, Gas constant, Geometric series, George Gamow, Graham's law, Gravitational constant, Gravity, Gravity of Earth, Hamiltonian (quantum mechanics), Hamiltonian mechanics, Hamiltonian system, Harmonic oscillator, Heat capacity, Hebrew University of Jerusalem, Heinrich Friedrich Weber, Helium, Hooke's law, Hydrogen, Hypersurface, Ideal gas, Ideal gas law, Identical particles, Integer, Integration by parts, International System of Units, Iodine, Ion, James Clerk Maxwell, James Dewar, James Jeans, Jeans instability, John James Waterston, John Pasta, John William Strutt, 3rd Baron Rayleigh, Johnson–Nyquist noise, Joule, Kelvin, Kinetic energy, Kinetic theory of gases, Kolmogorov–Arnold–Moser theorem, Korteweg–de Vries equation, Kronecker delta, Langevin equation, Latin, Ludwig Boltzmann, Luminiferous aether, Mary Tsingou, Mason–Weaver equation, Max Planck, Maxwell–Boltzmann distribution, Metal, Microcanonical ensemble, Mole (unit), Molecular cloud, Moment of inertia, Monatomic gas, Neutron star, Newton's law of universal gravitation, Newton's laws of motion, Nitrogen, Noble gas, Normal mode, Normalizing constant, Nuclear magnetic resonance, Nuclear magnetic resonance spectroscopy of proteins, Organ pipe, Oxygen, Partition function (statistical mechanics), Pauli exclusion principle, Pendulum, Peptide, Peter Debye, Phase space, Philosophical Magazine, Philosophical Transactions of the Royal Society, Philosophical Transactions of the Royal Society A, Physical Review, Piano wire, Pierre Louis Dulong, Planck constant, Planck's law, Potential energy, Pressure, Probability density function, Protein, Quantum field theory, Quantum mechanics, Quantum statistical mechanics, Radial distribution function, Rayleigh scattering, Real number, Relative atomic mass, Relativistic particle, Relaxation (NMR), Residual dipolar coupling, Resonance, Rotation around a fixed axis, Royal Society, Sedimentation, Simple harmonic motion, Solid, Soliton, Special relativity, Spring (device), Stanislaw Ulam, Star, Star formation, Statistical mechanics, Sun, Superconductivity, Superfluidity, Symmetry, Symplectic manifold, Taylor series, Temperature, The Racah Institute of Physics, Thermal energy, Thermal equilibrium, Thermal reservoir, Thermodynamic beta, Thermodynamic temperature, Third law of thermodynamics, Time, Time constant, Translation (geometry), Ultraviolet catastrophe, Unified atomic mass unit, Uranium, Valence electron, Velocity, Virial theorem, Virus, Volume, Walther Nernst, White dwarf, Wikisource, William Thomson, 1st Baron Kelvin, Xenon, Yakov Sinai, Zero-point energy. Expand index (157 more) »

Acceleration

In physics, acceleration is the rate of change of velocity of an object with respect to time.

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Albert Einstein

Albert Einstein (14 March 1879 – 18 April 1955) was a German-born theoretical physicist who developed the theory of relativity, one of the two pillars of modern physics (alongside quantum mechanics).

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Alexis Thérèse Petit

Alexis Thérèse Petit (2 October 1791, Vesoul, Haute-Saône – 21 June 1820, Paris) was a French physicist.

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Angular velocity

In physics, the angular velocity of a particle is the rate at which it rotates around a chosen center point: that is, the time rate of change of its angular displacement relative to the origin.

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Annalen der Physik

Annalen der Physik (English: Annals of Physics) is one of the oldest scientific journals on physics and has been published since 1799.

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Annales de chimie et de physique

Annales de chimie et de physique (French for Annals of Chemistry and of Physics) is a scientific journal that was founded in Paris, France, in 1789 under the title Annales de chimie.

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Approximation error

The approximation error in some data is the discrepancy between an exact value and some approximation to it.

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Astrophysics

Astrophysics is the branch of astronomy that employs the principles of physics and chemistry "to ascertain the nature of the astronomical objects, rather than their positions or motions in space".

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Atom

An atom is the smallest constituent unit of ordinary matter that has the properties of a chemical element.

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Avogadro constant

In chemistry and physics, the Avogadro constant (named after scientist Amedeo Avogadro) is the number of constituent particles, usually atoms or molecules, that are contained in the amount of substance given by one mole.

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Beer

Beer is one of the oldest and most widely consumed alcoholic drinks in the world, and the third most popular drink overall after water and tea.

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Black-body radiation

Black-body radiation is the thermal electromagnetic radiation within or surrounding a body in thermodynamic equilibrium with its environment, or emitted by a black body (an opaque and non-reflective body).

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Boltzmann constant

The Boltzmann constant, which is named after Ludwig Boltzmann, is a physical constant relating the average kinetic energy of particles in a gas with the temperature of the gas.

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Boltzmann distribution

In statistical mechanics and mathematics, a Boltzmann distribution (also called Gibbs distribution Translated by J.B. Sykes and M.J. Kearsley. See section 28) is a probability distribution, probability measure, or frequency distribution of particles in a system over various possible states.

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Bose–Einstein condensate

A Bose–Einstein condensate (BEC) is a state of matter of a dilute gas of bosons cooled to temperatures very close to absolute zero.

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Brownian motion

Brownian motion or pedesis (from πήδησις "leaping") is the random motion of particles suspended in a fluid (a liquid or a gas) resulting from their collision with the fast-moving molecules in the fluid.

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Buoyancy

In physics, buoyancy or upthrust, is an upward force exerted by a fluid that opposes the weight of an immersed object.

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Calorie

A calorie is a unit of energy.

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Canonical coordinates

In mathematics and classical mechanics, canonical coordinates are sets of coordinates on phase space which can be used to describe a physical system at any given point in time.

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Canonical ensemble

In statistical mechanics, a canonical ensemble is the statistical ensemble that represents the possible states of a mechanical system in thermal equilibrium with a heat bath at a fixed temperature.

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Carbon

Carbon (from carbo "coal") is a chemical element with symbol C and atomic number 6.

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Carbon monoxide

Carbon monoxide (CO) is a colorless, odorless, and tasteless gas that is slightly less dense than air.

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Chandrasekhar limit

The Chandrasekhar limit is the maximum mass of a stable white dwarf star.

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Chaos theory

Chaos theory is a branch of mathematics focusing on the behavior of dynamical systems that are highly sensitive to initial conditions.

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Circular symmetry

In geometry, circular symmetry is a type of continuous symmetry for a planar object that can be rotated by any arbitrary angle and map onto itself.

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Classical mechanics

Classical mechanics describes the motion of macroscopic objects, from projectiles to parts of machinery, and astronomical objects, such as spacecraft, planets, stars and galaxies.

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Classical physics

Classical physics refers to theories of physics that predate modern, more complete, or more widely applicable theories.

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Configuration space (physics)

In classical mechanics, the parameters that define the configuration of a system are called generalized coordinates, and the vector space defined by these coordinates is called the configuration space of the physical system.

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Conservative force

A conservative force is a force with the property that the total work done in moving a particle between two points is independent of the taken path.

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Continuum (measurement)

Continuum theories or models explain variation as involving gradual quantitative transitions without abrupt changes or discontinuities.

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Debye model

In thermodynamics and solid state physics, the Debye model is a method developed by Peter Debye in 1912 for estimating the phonon contribution to the specific heat (heat capacity) in a solid.

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Degenerate matter

Degenerate matter is a highly dense state of matter in which particles must occupy high states of kinetic energy in order to satisfy the Pauli exclusion principle.

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Degrees of freedom (physics and chemistry)

In physics, a degree of freedom is an independent physical parameter in the formal description of the state of a physical system.

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Density

The density, or more precisely, the volumetric mass density, of a substance is its mass per unit volume.

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Density of states

In solid-state and condensed matter physics, the density of states (DOS) of a system describes the number of states per interval of energy at each energy level available to be occupied.

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Diamond

Diamond is a solid form of carbon with a diamond cubic crystal structure.

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Dielectric

A dielectric (or dielectric material) is an electrical insulator that can be polarized by an applied electric field.

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Dielectric spectroscopy

Dielectric spectroscopy (which falls in a subcategory of impedance spectroscopy) measures the dielectric properties of a medium as a function of frequency.

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Differential equation

A differential equation is a mathematical equation that relates some function with its derivatives.

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Diffusion

Diffusion is the net movement of molecules or atoms from a region of high concentration (or high chemical potential) to a region of low concentration (or low chemical potential) as a result of random motion of the molecules or atoms.

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Divergence

In vector calculus, divergence is a vector operator that produces a scalar field, giving the quantity of a vector field's source at each point.

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Divergence theorem

In vector calculus, the divergence theorem, also known as Gauss's theorem or Ostrogradsky's theorem, reprinted in is a result that relates the flow (that is, flux) of a vector field through a surface to the behavior of the vector field inside the surface.

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Drag (physics)

In fluid dynamics, drag (sometimes called air resistance, a type of friction, or fluid resistance, another type of friction or fluid friction) is a force acting opposite to the relative motion of any object moving with respect to a surrounding fluid.

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Drude model

The Drude model of electrical conduction was proposed in 1900 by Paul Drude to explain the transport properties of electrons in materials (especially metals).

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Dulong–Petit law

The Dulong–Petit law, a thermodynamic law proposed in 1819 by French physicists Pierre Louis Dulong and Alexis Thérèse Petit, states the classical expression for the molar specific of certain chemical elements.

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Dynamical billiards

A billiard is a dynamical system in which a particle alternates between motion in a straight line and specular reflections from a boundary.

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Dynamical system

In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in a geometrical space.

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Effusion

In physics and chemistry, effusion is the process in which a gas escapes through a hole of diameter considerably smaller than the mean free path of the molecules.

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Einstein solid

The Einstein solid is a model of a solid based on two assumptions.

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Electromagnetic field

An electromagnetic field (also EMF or EM field) is a physical field produced by electrically charged objects.

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Electron

The electron is a subatomic particle, symbol or, whose electric charge is negative one elementary charge.

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Electronic oscillator

An electronic oscillator is an electronic circuit that produces a periodic, oscillating electronic signal, often a sine wave or a square wave.

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Electronvolt

In physics, the electronvolt (symbol eV, also written electron-volt and electron volt) is a unit of energy equal to approximately joules (symbol J).

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Energy

In physics, energy is the quantitative property that must be transferred to an object in order to perform work on, or to heat, the object.

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Enriched uranium

Enriched uranium is a type of uranium in which the percent composition of uranium-235 has been increased through the process of isotope separation.

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Enrico Fermi

Enrico Fermi (29 September 1901 – 28 November 1954) was an Italian-American physicist and the creator of the world's first nuclear reactor, the Chicago Pile-1.

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Ensemble average (statistical mechanics)

In statistical mechanics, the ensemble average is defined as the mean of a quantity that is a function of the microstate of a system (the ensemble of possible states), according to the distribution of the system on its micro-states in this ensemble.

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Entropy

In statistical mechanics, entropy is an extensive property of a thermodynamic system.

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Ergodic hypothesis

In physics and thermodynamics, the ergodic hypothesis says that, over long periods of time, the time spent by a system in some region of the phase space of microstates with the same energy is proportional to the volume of this region, i.e., that all accessible microstates are equiprobable over a long period of time.

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Ergodic theory

Ergodic theory (Greek: έργον ergon "work", όδος hodos "way") is a branch of mathematics that studies dynamical systems with an invariant measure and related problems.

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Ergodicity

In probability theory, an ergodic dynamical system is one that, broadly speaking, has the same behavior averaged over time as averaged over the space of all the system's states in its phase space.

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Euclidean vector

In mathematics, physics, and engineering, a Euclidean vector (sometimes called a geometric or spatial vector, or—as here—simply a vector) is a geometric object that has magnitude (or length) and direction.

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Exponential function

In mathematics, an exponential function is a function of the form in which the argument occurs as an exponent.

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Fermi–Pasta–Ulam–Tsingou problem

In physics, the Fermi–Pasta–Ulam–Tsingou problem or formerly the Fermi–Pasta–Ulam problem was the apparent paradox in chaos theory that many complicated enough physical systems exhibited almost exactly periodic behavior – called Fermi–Pasta–Ulam–Tsingou recurrence (or Fermi–Pasta–Ulam recurrence) – instead of ergodic behavior.

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Fermionic condensate

A fermionic condensate is a superfluid phase formed by fermionic particles at low temperatures.

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Flow birefringence

In biochemistry, flow birefringence is a hydrodynamic technique for measuring the rotational diffusion constants (or, equivalently, the rotational drag coefficients).

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Fluorescence anisotropy

Fluorescence anisotropy or fluorescence polarization is the phenomenon where the light emitted by a fluorophore has unequal intensities along different axes of polarization.

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Fundamental frequency

The fundamental frequency, often referred to simply as the fundamental, is defined as the lowest frequency of a periodic waveform.

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Gas constant

The gas constant is also known as the molar, universal, or ideal gas constant, denoted by the symbol or and is equivalent to the Boltzmann constant, but expressed in units of energy per temperature increment per mole, i.e. the pressure-volume product, rather than energy per temperature increment per particle.

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Geometric series

In mathematics, a geometric series is a series with a constant ratio between successive terms.

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George Gamow

George Gamow (March 4, 1904- August 19, 1968), born Georgiy Antonovich Gamov, was a Russian-American theoretical physicist and cosmologist.

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Graham's law

Graham's law of effusion (also called Graham's law of diffusion) was formulated by Scottish physical chemist Thomas Graham in 1848.

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Gravitational constant

The gravitational constant (also known as the "universal gravitational constant", the "Newtonian constant of gravitation", or the "Cavendish gravitational constant"), denoted by the letter, is an empirical physical constant involved in the calculation of gravitational effects in Sir Isaac Newton's law of universal gravitation and in Albert Einstein's general theory of relativity.

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Gravity

Gravity, or gravitation, is a natural phenomenon by which all things with mass or energy—including planets, stars, galaxies, and even light—are brought toward (or gravitate toward) one another.

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Gravity of Earth

The gravity of Earth, which is denoted by, refers to the acceleration that is imparted to objects due to the distribution of mass within Earth.

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Hamiltonian (quantum mechanics)

In quantum mechanics, a Hamiltonian is an operator corresponding to the total energy of the system in most of the cases.

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Hamiltonian mechanics

Hamiltonian mechanics is a theory developed as a reformulation of classical mechanics and predicts the same outcomes as non-Hamiltonian classical mechanics.

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Hamiltonian system

A Hamiltonian system is a dynamical system governed by Hamilton's equations.

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Harmonic oscillator

In classical mechanics, a harmonic oscillator is a system that, when displaced from its equilibrium position, experiences a restoring force, F, proportional to the displacement, x: where k is a positive constant.

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Heat capacity

Heat capacity or thermal capacity is a measurable physical quantity equal to the ratio of the heat added to (or removed from) an object to the resulting temperature change.

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Hebrew University of Jerusalem

The Hebrew University of Jerusalem (האוניברסיטה העברית בירושלים, Ha-Universita ha-Ivrit bi-Yerushalayim; الجامعة العبرية في القدس, Al-Jami'ah al-Ibriyyah fi al-Quds; abbreviated HUJI) is Israel's second oldest university, established in 1918, 30 years before the establishment of the State of Israel.

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Heinrich Friedrich Weber

Heinrich Friedrich Weber (7 November 1843 – 24 May 1912) was a physicist born in the town of Magdala, near Weimar.

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Helium

Helium (from lit) is a chemical element with symbol He and atomic number 2.

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Hooke's law

Hooke's law is a principle of physics that states that the force needed to extend or compress a spring by some distance scales linearly with respect to that distance.

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Hydrogen

Hydrogen is a chemical element with symbol H and atomic number 1.

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Hypersurface

In geometry, a hypersurface is a generalization of the concepts of hyperplane, plane curve, and surface.

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Ideal gas

An ideal gas is a theoretical gas composed of many randomly moving point particles whose only interactions are perfectly elastic collisions.

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Ideal gas law

The ideal gas law, also called the general gas equation, is the equation of state of a hypothetical ideal gas.

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Identical particles

Identical particles, also called indistinguishable or indiscernible particles, are particles that cannot be distinguished from one another, even in principle.

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Integer

An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").

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Integration by parts

In calculus, and more generally in mathematical analysis, integration by parts or partial integration is a process that finds the integral of a product of functions in terms of the integral of their derivative and antiderivative.

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International System of Units

The International System of Units (SI, abbreviated from the French Système international (d'unités)) is the modern form of the metric system, and is the most widely used system of measurement.

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Iodine

Iodine is a chemical element with symbol I and atomic number 53.

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Ion

An ion is an atom or molecule that has a non-zero net electrical charge (its total number of electrons is not equal to its total number of protons).

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James Clerk Maxwell

James Clerk Maxwell (13 June 1831 – 5 November 1879) was a Scottish scientist in the field of mathematical physics.

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James Dewar

Sir James Dewar FRS FRSE (20 September 1842 – 27 March 1923) was a Scottish chemist and physicist.

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James Jeans

Sir James Hopwood Jeans (11 September 187716 September 1946) was an English physicist, astronomer and mathematician.

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Jeans instability

In stellar physics, the Jeans instability causes the collapse of interstellar gas clouds and subsequent star formation.

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John James Waterston

John James Waterston (1811 – 18 June 1883) was a Scottish physicist, a neglected pioneer of the kinetic theory of gases.

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John Pasta

John R. Pasta (October 22, 1918 – June 5, 1981) was an American computational physicist and computer scientist who is remembered today for the Fermi–Pasta–Ulam–Tsingou experiment, the result of which was much discussed among physicists and researchers in the fields of dynamical systems and chaos theory, and as the head of the department of Computer Science at the University of Illinois at Urbana-Champaign from 1964 to 1970.

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John William Strutt, 3rd Baron Rayleigh

John William Strutt, 3rd Baron Rayleigh, (12 November 1842 – 30 June 1919) was a physicist who, with William Ramsay, discovered argon, an achievement for which he earned the Nobel Prize for Physics in 1904.

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Johnson–Nyquist noise

Johnson–Nyquist noise (thermal noise, Johnson noise, or Nyquist noise) is the electronic noise generated by the thermal agitation of the charge carriers (usually the electrons) inside an electrical conductor at equilibrium, which happens regardless of any applied voltage.

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Joule

The joule (symbol: J) is a derived unit of energy in the International System of Units.

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Kelvin

The Kelvin scale is an absolute thermodynamic temperature scale using as its null point absolute zero, the temperature at which all thermal motion ceases in the classical description of thermodynamics.

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Kinetic energy

In physics, the kinetic energy of an object is the energy that it possesses due to its motion.

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Kinetic theory of gases

The kinetic theory describes a gas as a large number of submicroscopic particles (atoms or molecules), all of which are in constant rapid motion that has randomness arising from their many collisions with each other and with the walls of the container.

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Kolmogorov–Arnold–Moser theorem

The Kolmogorov–Arnold–Moser theorem (KAM theorem) is a result in dynamical systems about the persistence of quasiperiodic motions under small perturbations.

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Korteweg–de Vries equation

In mathematics, the Korteweg–de Vries equation (KdV equation for short) is a mathematical model of waves on shallow water surfaces.

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Kronecker delta

In mathematics, the Kronecker delta (named after Leopold Kronecker) is a function of two variables, usually just non-negative integers.

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Langevin equation

In physics, Langevin equation (named after Paul Langevin) is a stochastic differential equation describing the time evolution of a subset of the degrees of freedom.

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Latin

Latin (Latin: lingua latīna) is a classical language belonging to the Italic branch of the Indo-European languages.

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Ludwig Boltzmann

Ludwig Eduard Boltzmann (February 20, 1844 – September 5, 1906) was an Austrian physicist and philosopher whose greatest achievement was in the development of statistical mechanics, which explains and predicts how the properties of atoms (such as mass, charge, and structure) determine the physical properties of matter (such as viscosity, thermal conductivity, and diffusion).

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Luminiferous aether

In the late 19th century, luminiferous aether or ether ("luminiferous", meaning "light-bearing"), was the postulated medium for the propagation of light.

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Mary Tsingou

Mary Tsingou (married name: Mary Tsingou-Menzel; born October 14, 1928) is an American physicist and mathematician of Greek ancestry.

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Mason–Weaver equation

The Mason–Weaver equation (named after Max Mason and Warren Weaver) describes the sedimentation and diffusion of solutes under a uniform force, usually a gravitational field.

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Max Planck

Max Karl Ernst Ludwig Planck, FRS (23 April 1858 – 4 October 1947) was a German theoretical physicist whose discovery of energy quanta won him the Nobel Prize in Physics in 1918.

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Maxwell–Boltzmann distribution

In physics (in particular in statistical mechanics), the Maxwell–Boltzmann distribution is a particular probability distribution named after James Clerk Maxwell and Ludwig Boltzmann.

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Metal

A metal (from Greek μέταλλον métallon, "mine, quarry, metal") is a material (an element, compound, or alloy) that is typically hard when in solid state, opaque, shiny, and has good electrical and thermal conductivity.

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Microcanonical ensemble

In statistical mechanics, a microcanonical ensemble is the statistical ensemble that is used to represent the possible states of a mechanical system which has an exactly specified total energy.

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Mole (unit)

The mole, symbol mol, is the SI unit of amount of substance.

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Molecular cloud

A molecular cloud, sometimes called a stellar nursery (if star formation is occurring within), is a type of interstellar cloud, the density and size of which permit the formation of molecules, most commonly molecular hydrogen (H2).

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Moment of inertia

The moment of inertia, otherwise known as the angular mass or rotational inertia, of a rigid body is a tensor that determines the torque needed for a desired angular acceleration about a rotational axis; similar to how mass determines the force needed for a desired acceleration.

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Monatomic gas

In physics and chemistry, monatomic is a combination of the words "mono" and "atomic", and means "single atom".

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Neutron star

A neutron star is the collapsed core of a large star which before collapse had a total of between 10 and 29 solar masses.

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Newton's law of universal gravitation

Newton's law of universal gravitation states that a particle attracts every other particle in the universe with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

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Newton's laws of motion

Newton's laws of motion are three physical laws that, together, laid the foundation for classical mechanics.

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Nitrogen

Nitrogen is a chemical element with symbol N and atomic number 7.

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Noble gas

The noble gases (historically also the inert gases) make up a group of chemical elements with similar properties; under standard conditions, they are all odorless, colorless, monatomic gases with very low chemical reactivity.

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Normal mode

A normal mode of an oscillating system is a pattern of motion in which all parts of the system move sinusoidally with the same frequency and with a fixed phase relation.

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Normalizing constant

The concept of a normalizing constant arises in probability theory and a variety of other areas of mathematics.

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Nuclear magnetic resonance

Nuclear magnetic resonance (NMR) is a physical phenomenon in which nuclei in a magnetic field absorb and re-emit electromagnetic radiation.

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Nuclear magnetic resonance spectroscopy of proteins

Nuclear magnetic resonance spectroscopy of proteins (usually abbreviated protein NMR) is a field of structural biology in which NMR spectroscopy is used to obtain information about the structure and dynamics of proteins, and also nucleic acids, and their complexes.

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Organ pipe

An organ pipe is a sound-producing element of the pipe organ that resonates at a specific pitch when pressurized air (commonly referred to as wind) is driven through it.

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Oxygen

Oxygen is a chemical element with symbol O and atomic number 8.

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Partition function (statistical mechanics)

In physics, a partition function describes the statistical properties of a system in thermodynamic equilibrium.

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Pauli exclusion principle

The Pauli exclusion principle is the quantum mechanical principle which states that two or more identical fermions (particles with half-integer spin) cannot occupy the same quantum state within a quantum system simultaneously.

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Pendulum

A pendulum is a weight suspended from a pivot so that it can swing freely.

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Peptide

Peptides (from Gr.: πεπτός, peptós "digested"; derived from πέσσειν, péssein "to digest") are short chains of amino acid monomers linked by peptide (amide) bonds.

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Peter Debye

Peter Joseph William Debye (March 24, 1884 – November 2, 1966) was a Dutch-American physicist and physical chemist, and Nobel laureate in Chemistry.

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Phase space

In dynamical system theory, a phase space is a space in which all possible states of a system are represented, with each possible state corresponding to one unique point in the phase space.

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Philosophical Magazine

The Philosophical Magazine is one of the oldest scientific journals published in English.

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Philosophical Transactions of the Royal Society

Philosophical Transactions, titled Philosophical Transactions of the Royal Society (often abbreviated as Phil. Trans.) from 1776, is a scientific journal published by the Royal Society.

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Philosophical Transactions of the Royal Society A

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences is a fortnightly peer-reviewed scientific journal published by the Royal Society.

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Physical Review

Physical Review is an American peer-reviewed scientific journal established in 1893 by Edward Nichols.

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Piano wire

Piano wire, or "music wire", is a specialized type of wire made for use in piano strings.

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Pierre Louis Dulong

Pierre Louis Dulong FRS FRSE (12 February 1785 – 19 July 1838) was a French physicist and chemist.

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Planck constant

The Planck constant (denoted, also called Planck's constant) is a physical constant that is the quantum of action, central in quantum mechanics.

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Planck's law

Planck's law describes the spectral density of electromagnetic radiation emitted by a black body in thermal equilibrium at a given temperature T. The law is named after Max Planck, who proposed it in 1900.

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Potential energy

In physics, potential energy is the energy possessed by an object because of its position relative to other objects, stresses within itself, its electric charge, or other factors.

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Pressure

Pressure (symbol: p or P) is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

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Probability density function

In probability theory, a probability density function (PDF), or density of a continuous random variable, is a function, whose value at any given sample (or point) in the sample space (the set of possible values taken by the random variable) can be interpreted as providing a relative likelihood that the value of the random variable would equal that sample.

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Protein

Proteins are large biomolecules, or macromolecules, consisting of one or more long chains of amino acid residues.

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Quantum field theory

In theoretical physics, quantum field theory (QFT) is the theoretical framework for constructing quantum mechanical models of subatomic particles in particle physics and quasiparticles in condensed matter physics.

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Quantum mechanics

Quantum mechanics (QM; also known as quantum physics, quantum theory, the wave mechanical model, or matrix mechanics), including quantum field theory, is a fundamental theory in physics which describes nature at the smallest scales of energy levels of atoms and subatomic particles.

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Quantum statistical mechanics

Quantum statistical mechanics is statistical mechanics applied to quantum mechanical systems.

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Radial distribution function

In statistical mechanics, the radial distribution function, (or pair correlation function) g(r) in a system of particles (atoms, molecules, colloids, etc.), describes how density varies as a function of distance from a reference particle.

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Rayleigh scattering

Rayleigh scattering (pronounced), named after the British physicist Lord Rayleigh (John William Strutt), is the (dominantly) elastic scattering of light or other electromagnetic radiation by particles much smaller than the wavelength of the radiation.

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Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

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Relative atomic mass

Relative atomic mass (symbol: A) or atomic weight is a dimensionless physical quantity defined as the ratio of the average mass of atoms of a chemical element in a given sample to one unified atomic mass unit.

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Relativistic particle

A relativistic particle is a particle which moves with a relativistic speed; that is, a speed comparable to the speed of light.

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Relaxation (NMR)

In nuclear magnetic resonance (NMR) spectroscopy and magnetic resonance imaging (MRI) the term relaxation describes how signals change with time.

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Residual dipolar coupling

The residual dipolar coupling between two spins in a molecule occurs if the molecules in solution exhibit a partial alignment leading to an incomplete averaging of spatially anisotropic dipolar couplings.

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Resonance

In physics, resonance is a phenomenon in which a vibrating system or external force drives another system to oscillate with greater amplitude at specific frequencies.

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Rotation around a fixed axis

Rotation around a fixed axis or about a fixed axis of revolution or motion with respect to a fixed axis of rotation is a special case of rotational motion.

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Royal Society

The President, Council and Fellows of the Royal Society of London for Improving Natural Knowledge, commonly known as the Royal Society, is a learned society.

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Sedimentation

Sedimentation is the tendency for particles in suspension to settle out of the fluid in which they are entrained and come to rest against a barrier.

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Simple harmonic motion

In mechanics and physics, simple harmonic motion is a special type of periodic motion or oscillation motion where the restoring force is directly proportional to the displacement and acts in the direction opposite to that of displacement.

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Solid

Solid is one of the four fundamental states of matter (the others being liquid, gas, and plasma).

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Soliton

In mathematics and physics, a soliton is a self-reinforcing solitary wave packet that maintains its shape while it propagates at a constant velocity.

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Special relativity

In physics, special relativity (SR, also known as the special theory of relativity or STR) is the generally accepted and experimentally well-confirmed physical theory regarding the relationship between space and time.

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Spring (device)

A spring is an elastic object that stores mechanical energy.

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Stanislaw Ulam

Stanisław Marcin Ulam (13 April 1909 – 13 May 1984) was a Polish-American scientist in the fields of mathematics and nuclear physics.

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Star

A star is type of astronomical object consisting of a luminous spheroid of plasma held together by its own gravity.

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Star formation

Star formation is the process by which dense regions within molecular clouds in interstellar space, sometimes referred to as "stellar nurseries" or "star-forming regions", collapse and form stars.

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Statistical mechanics

Statistical mechanics is one of the pillars of modern physics.

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Sun

The Sun is the star at the center of the Solar System.

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Superconductivity

Superconductivity is a phenomenon of exactly zero electrical resistance and expulsion of magnetic flux fields occurring in certain materials, called superconductors, when cooled below a characteristic critical temperature.

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Superfluidity

Superfluidity is the characteristic property of a fluid with zero viscosity which therefore flows without loss of kinetic energy.

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Symmetry

Symmetry (from Greek συμμετρία symmetria "agreement in dimensions, due proportion, arrangement") in everyday language refers to a sense of harmonious and beautiful proportion and balance.

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Symplectic manifold

In mathematics, a symplectic manifold is a smooth manifold, M, equipped with a closed nondegenerate differential 2-form, ω, called the symplectic form.

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Taylor series

In mathematics, a Taylor series is a representation of a function as an infinite sum of terms that are calculated from the values of the function's derivatives at a single point.

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Temperature

Temperature is a physical quantity expressing hot and cold.

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The Racah Institute of Physics

The Racah Institute of Physics is an institute at the Hebrew University of Jerusalem, part of the faculty of Mathematics and Natural Sciences on the Edmund J. Safra Campus in the Givat Ram neighborhood of Jerusalem, Israel.

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Thermal energy

Thermal energy is a term used loosely as a synonym for more rigorously-defined thermodynamic quantities such as the internal energy of a system; heat or sensible heat, which are defined as types of transfer of energy (as is work); or for the characteristic energy of a degree of freedom in a thermal system kT, where T is temperature and k is the Boltzmann constant.

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Thermal equilibrium

Two physical systems are in thermal equilibrium if there are no net flow of thermal energy between them when they are connected by a path permeable to heat.

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Thermal reservoir

A thermal reservoir, a short-form of thermal energy reservoir, or thermal bath is a thermodynamic system with a heat capacity that is large enough that when it is in thermal contact with another system of interest or its environment, its temperature remains effectively constant.

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Thermodynamic beta

In statistical mechanics, the thermodynamic beta (or occasionally perk) is the reciprocal of the thermodynamic temperature of a system.

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Thermodynamic temperature

Thermodynamic temperature is the absolute measure of temperature and is one of the principal parameters of thermodynamics.

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Third law of thermodynamics

The third law of thermodynamics is sometimes stated as follows, regarding the properties of systems in thermodynamic equilibrium: At absolute zero (zero kelvin) the system must be in a state with the minimum possible energy.

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Time

Time is the indefinite continued progress of existence and events that occur in apparently irreversible succession from the past through the present to the future.

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Time constant

In physics and engineering, the time constant, usually denoted by the Greek letter τ (tau), is the parameter characterizing the response to a step input of a first-order, linear time-invariant (LTI) system.

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Translation (geometry)

In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction.

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Ultraviolet catastrophe

The ultraviolet catastrophe, also called the Rayleigh–Jeans catastrophe, was the prediction of late 19th century/early 20th century classical physics that an ideal black body at thermal equilibrium will emit radiation in all frequency ranges, emitting more energy as the frequency increases.

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Unified atomic mass unit

The unified atomic mass unit or dalton (symbol: u, or Da) is a standard unit of mass that quantifies mass on an atomic or molecular scale (atomic mass).

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Uranium

Uranium is a chemical element with symbol U and atomic number 92.

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Valence electron

In chemistry, a valence electron is an outer shell electron that is associated with an atom, and that can participate in the formation of a chemical bond if the outer shell is not closed; in a single covalent bond, both atoms in the bond contribute one valence electron in order to form a shared pair.

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Velocity

The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time.

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Virial theorem

In mechanics, the virial theorem provides a general equation that relates the average over time of the total kinetic energy, \left\langle T \right\rangle, of a stable system consisting of N particles, bound by potential forces, with that of the total potential energy, \left\langle V_\text \right\rangle, where angle brackets represent the average over time of the enclosed quantity.

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Virus

A virus is a small infectious agent that replicates only inside the living cells of other organisms.

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Volume

Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains.

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Walther Nernst

Walther Hermann Nernst, (25 June 1864 – 18 November 1941) was a German chemist who is known for his work in thermodynamics; his formulation of the Nernst heat theorem helped pave the way for the third law of thermodynamics, for which he won the 1920 Nobel Prize in Chemistry.

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White dwarf

A white dwarf, also called a degenerate dwarf, is a stellar core remnant composed mostly of electron-degenerate matter.

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Wikisource

Wikisource is an online digital library of free content textual sources on a wiki, operated by the Wikimedia Foundation.

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William Thomson, 1st Baron Kelvin

William Thomson, 1st Baron Kelvin, (26 June 1824 – 17 December 1907) was a Scots-Irish mathematical physicist and engineer who was born in Belfast in 1824.

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Xenon

Xenon is a chemical element with symbol Xe and atomic number 54.

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Yakov Sinai

Yakov Grigorevich Sinai (Я́ков Григо́рьевич Сина́й; born September 21, 1935) is a mathematician known for his work on dynamical systems.

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Zero-point energy

Zero-point energy (ZPE) or ground state energy is the lowest possible energy that a quantum mechanical system may have.

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Equipartion of energy, Equipartion theorem, Equipartition, Equipartition Theorem, Equipartition of Energy, Equipartition of Energy Theorem, Equipartition of energy, Equipartition of energy theorem, Equipartition principle, Equipartition theory, Law of Energy Equipartition, Law of equipartition, Principle of equipartition.

References

[1] https://en.wikipedia.org/wiki/Equipartition_theorem

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