15 relations: Boltzmann distribution, Chiral Potts model, Classical XY model, Complex conjugate, Critical phenomena, Graph (discrete 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 an equal real part and an 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 (discrete mathematics)

In mathematics, and more specifically in graph theory, a graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense "related".

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## Integrable system

In the context of differential equations to integrate an equation means to solve it from initial conditions.

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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 one of the pillars of modern physics.

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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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