We are working to restore the Unionpedia app on the Google Play Store
OutgoingIncoming
🌟We've simplified our design for better navigation!
Instagram Facebook X LinkedIn

ZN model

Index ZN model

The Z_N model (also known as the clock model) is a simplified statistical mechanical spin model. [1]

Table of Contents

  1. 18 relations: Boltzmann distribution, Chiral Potts model, Classical XY model, Complex conjugate, Critical phenomena, Graph (discrete mathematics), Hamiltonian (quantum mechanics), Integrable system, Ising model, Kramers–Wannier duality, Lattice model (physics), Potts model, Quantum clock model, Root of unity, Spin model, Statistical mechanics, Transverse-field Ising model, Yang–Baxter equation.

  2. Spin models

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 or probability measure that gives the probability that a system will be in a certain state as a function of that state's energy and the temperature of the system. ZN model and Boltzmann distribution are statistical mechanics.

See ZN model and Boltzmann distribution

Chiral Potts model

The chiral Potts model is a spin model on a planar lattice in statistical mechanics studied by Helen Au-Yang Perk and Jacques Perk, among others. ZN model and chiral Potts model are lattice models, spin models and statistical mechanics.

See ZN model and Chiral Potts model

Classical XY model

The classical XY model (sometimes also called classical rotor (rotator) model or O(2) model) is a lattice model of statistical mechanics. ZN model and classical XY model are lattice models.

See ZN model and Classical XY model

Complex conjugate

In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign.

See ZN model and Complex conjugate

Critical phenomena

In physics, critical phenomena is the collective name associated with the physics of critical points. ZN model and critical phenomena are statistical mechanics.

See ZN model and Critical phenomena

Graph (discrete mathematics)

In discrete mathematics, particularly in graph theory, a graph is a structure consisting of a set of objects where some pairs of the objects are in some sense "related".

See ZN model and Graph (discrete mathematics)

Hamiltonian (quantum mechanics)

In quantum mechanics, the Hamiltonian of a system is an operator corresponding to the total energy of that system, including both kinetic energy and potential energy.

See ZN model and Hamiltonian (quantum mechanics)

Integrable system

In mathematics, integrability is a property of certain dynamical systems.

See ZN model and Integrable system

Ising model

The Ising model (or Lenz–Ising model), named after the physicists Ernst Ising and Wilhelm Lenz, is a mathematical model of ferromagnetism in statistical mechanics. ZN model and Ising model are Exactly solvable models, lattice models, spin models and statistical mechanics.

See ZN model and Ising model

Kramers–Wannier duality

The Kramers–Wannier duality is a symmetry in statistical physics. ZN model and Kramers–Wannier duality are Exactly solvable models, lattice models and statistical mechanics.

See ZN model and Kramers–Wannier duality

Lattice model (physics)

In mathematical physics, a lattice model is a mathematical model of a physical system that is defined on a lattice, as opposed to a continuum, such as the continuum of space or spacetime. ZN model and lattice model (physics) are lattice models.

See ZN model and Lattice model (physics)

Potts model

In statistical mechanics, the Potts model, a generalization of the Ising model, is a model of interacting spins on a crystalline lattice. ZN model and Potts model are Exactly solvable models, lattice models, spin models and statistical mechanics.

See ZN model and Potts model

Quantum clock model

The quantum clock model is a quantum lattice model.

See ZN model and Quantum clock model

Root of unity

In mathematics, a root of unity, occasionally called a de Moivre number, is any complex number that yields 1 when raised to some positive integer power.

See ZN model and Root of unity

Spin model

A spin model is a mathematical model used in physics primarily to explain magnetism. ZN model and spin model are spin models and statistical mechanics.

See ZN model and Spin model

Statistical mechanics

In physics, statistical mechanics is a mathematical framework that applies statistical methods and probability theory to large assemblies of microscopic entities.

See ZN model and Statistical mechanics

Transverse-field Ising model

The transverse field Ising model is a quantum version of the classical Ising model. ZN model and transverse-field Ising model are lattice models and spin models.

See ZN model and Transverse-field Ising model

Yang–Baxter equation

In physics, the Yang–Baxter equation (or star–triangle relation) is a consistency equation which was first introduced in the field of statistical mechanics. ZN model and Yang–Baxter equation are Exactly solvable models and statistical mechanics.

See ZN model and Yang–Baxter equation

See also

Spin models

References

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

Also known as Z N model.