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The Z_N model is a simplified statistical mechanical spin model. [1]

15 relations: Boltzmann distribution, Chiral Potts model, Classical XY model, Complex conjugate, Critical phenomena, Graph (mathematics), Integrable system, Ising model, Kramers–Wannier duality, Lattice model (physics), Potts model, Root of unity, Spin model, Statistical mechanics, Yang–Baxter equation.

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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Chiral Potts model

The Chiral Potts model is a spin model on a planar lattice in statistical mechanics.

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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.

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Complex conjugate

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

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Critical phenomena

In physics, critical phenomena is the collective name associated with the physics of critical points.

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Graph (mathematics)

In mathematics, and more specifically in graph theory, a graph is a representation of a set of objects where some pairs of objects are connected by links.

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Integrable system

In mathematics and physics, there are various distinct notions that are referred to under the name of integrable systems.

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Ising model

The Ising model, named after the physicist Ernst Ising, is a mathematical model of ferromagnetism in statistical mechanics.

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Kramers–Wannier duality

The Kramers–Wannier duality is a symmetry in statistical physics.

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Lattice model (physics)

In physics, a lattice model is a physical model that is defined on a lattice, as opposed to the continuum of space or spacetime.

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Potts model

In statistical mechanics, the Potts model, a generalization of the Ising model, is a model of interacting spins on a crystalline lattice.

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Root of unity

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

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Spin model

A spin model is a mathematical model used in physics primarily to explain magnetism.

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Statistical mechanics

Statistical mechanics is a branch of theoretical physics that studies, using probability theory, the average behaviour of a mechanical system where the state of the system is uncertain.

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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.

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

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