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# Z N model

The Z_N model is a simplified statistical mechanical spin model. 

## 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.

## Chiral Potts model

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

## 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.

## 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.

## Critical phenomena

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

## 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".

## Integrable system

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

## Ising model

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

## Kramers–Wannier duality

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

## 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.

## Potts model

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

## 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.

## Spin model

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

## Statistical mechanics

Statistical mechanics is one of the pillars of modern physics.

## 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.

## References

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