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Loschmidt's paradox

Index Loschmidt's paradox

Loschmidt's paradox, also known as the reversibility paradox, irreversibility paradox or Umkehreinwand, is the objection that it should not be possible to deduce an irreversible process from time-symmetric dynamics. [1]

37 relations: Antiparticle, Arrow of time, Australian National University, Axiom of Causality, Big Bang, CPT symmetry, Debra Searles, Denis Evans, Dissipative system, Entropy (arrow of time), Entropy (classical thermodynamics), Ergodic theory, Fluctuation theorem, H-theorem, Heat death of the universe, Inflation (cosmology), Irreversible process, Johann Josef Loschmidt, Kinetic theory of gases, Ludwig Boltzmann, Maximum entropy thermodynamics, Meson, Mixing (mathematics), Molecular chaos, Nature (journal), Optical tweezers, Paradox, Phase space, Poincaré recurrence theorem, Reversible process (thermodynamics), Second law of thermodynamics, Statistical mechanics, T-symmetry, Thomas Gold, Transfer operator, Wandering set, William Thomson, 1st Baron Kelvin.

Antiparticle

In particle physics, every type of particle has an associated antiparticle with the same mass but with opposite physical charges (such as electric charge).

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Arrow of time

The Arrow of Time, or Time's Arrow, is a concept developed in 1927 by the British astronomer Arthur Eddington involving the "one-way direction" or "asymmetry" of time.

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Australian National University

The Australian National University (ANU) is a national research university located in Canberra, the capital of Australia.

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Axiom of Causality

The Axiom of Causality is the proposition that everything in the universe has a cause and is thus an effect of that cause.

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Big Bang

The Big Bang theory is the prevailing cosmological model for the universe from the earliest known periods through its subsequent large-scale evolution.

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CPT symmetry

Charge, parity, and time reversal symmetry is a fundamental symmetry of physical laws under the simultaneous transformations of charge conjugation (C), parity transformation (P), and time reversal (T).

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Debra Searles

Debra Searles is the professional name for an Australian theoretical chemist whose married name is Debra Bernhardt.

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Denis Evans

Denis James Evans, (born 19 April 1951 in Sydney, Australia), is a Professor in the Research School of Chemistry at the Australian National University.

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Dissipative system

A dissipative system is a thermodynamically open system which is operating out of, and often far from, thermodynamic equilibrium in an environment with which it exchanges energy and matter.

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Entropy (arrow of time)

Entropy is the only quantity in the physical sciences (apart from certain rare interactions in particle physics; see below) that requires a particular direction for time, sometimes called an arrow of time.

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Entropy (classical thermodynamics)

Entropy is a property of thermodynamical systems.

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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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Fluctuation theorem

The fluctuation theorem (FT), which originated from statistical mechanics, deals with the relative probability that the entropy of a system which is currently away from thermodynamic equilibrium (i.e., maximum entropy) will increase or decrease over a given amount of time.

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H-theorem

In classical statistical mechanics, the H-theorem, introduced by Ludwig Boltzmann in 1872, describes the tendency to decrease in the quantity H (defined below) in a nearly-ideal gas of molecules.

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Heat death of the universe

The heat death of the universe is a plausible ultimate fate of the universe in which the universe has diminished to a state of no thermodynamic free energy and therefore can no longer sustain processes that increase entropy.

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Inflation (cosmology)

In physical cosmology, cosmic inflation, cosmological inflation, or just inflation, is a theory of exponential expansion of space in the early universe.

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Irreversible process

In science, a process that is not reversible is called irreversible.

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Johann Josef Loschmidt

Johann Josef Loschmidt (15 March 1821 – 8 July 1895), who referred to himself mostly as Josef Loschmidt (omitting his first name), was a notable Austrian scientist who performed ground-breaking work in chemistry, physics (thermodynamics, optics, electrodynamics), and crystal forms.

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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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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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Maximum entropy thermodynamics

In physics, maximum entropy thermodynamics (colloquially, MaxEnt thermodynamics) views equilibrium thermodynamics and statistical mechanics as inference processes.

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Meson

In particle physics, mesons are hadronic subatomic particles composed of one quark and one antiquark, bound together by strong interactions.

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Mixing (mathematics)

In mathematics, mixing is an abstract concept originating from physics: the attempt to describe the irreversible thermodynamic process of mixing in the everyday world: mixing paint, mixing drinks, etc.

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Molecular chaos

In the kinetic theory of gases in physics, the molecular chaos hypothesis (also called Stosszahlansatz in the writings of Paul Ehrenfest) is the assumption that the velocities of colliding particles are uncorrelated, and independent of position.

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Nature (journal)

Nature is a British multidisciplinary scientific journal, first published on 4 November 1869.

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Optical tweezers

Optical tweezers (originally called "single-beam gradient force trap") are scientific instruments that use a highly focused laser beam to provide an attractive or repulsive force (typically on the order of piconewtons), depending on the relative refractive index between particle and surrounding medium, to physically hold and move microscopic objects similar to tweezers.

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Paradox

A paradox is a statement that, despite apparently sound reasoning from true premises, leads to an apparently self-contradictory or logically unacceptable conclusion.

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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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Poincaré recurrence theorem

In physics, the Poincaré recurrence theorem states that certain systems will, after a sufficiently long but finite time, return to a state very close to, if not exactly the same as, the initial state.

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Reversible process (thermodynamics)

In thermodynamics, a reversible process is a process whose direction can be "reversed" by inducing infinitesimal changes to some property of the system via its surroundings, with no increase in entropy.

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Second law of thermodynamics

The second law of thermodynamics states that the total entropy of an isolated system can never decrease over time.

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Statistical mechanics

Statistical mechanics is one of the pillars of modern physics.

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T-symmetry

T-symmetry or time reversal symmetry is the theoretical symmetry of physical laws under the transformation of time reversal: T-symmetry can be shown to be equivalent to the conservation of entropy, by Noether's Theorem.

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Thomas Gold

Thomas Gold (May 22, 1920June 22, 2004) was an Austrian-born astrophysicist, a professor of astronomy at Cornell University, a member of the U.S. National Academy of Sciences, and a Fellow of the Royal Society (London).

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Transfer operator

In mathematics, the transfer operator encodes information about an iterated map and is frequently used to study the behavior of dynamical systems, statistical mechanics, quantum chaos and fractals.

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Wandering set

In those branches of mathematics called dynamical systems and ergodic theory, the concept of a wandering set formalizes a certain idea of movement and mixing in such systems.

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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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Redirects here:

Irreversibility paradox, Loschmidt paradox, Loschmidt's Paradox, Reversibility paradox, Umkehreinwand.

References

[1] https://en.wikipedia.org/wiki/Loschmidt's_paradox

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