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.
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.
The Chiral Potts model is a spin model on a planar lattice in statistical mechanics.
The classical XY model (sometimes also called classical rotor (rotator) model or O(2) model) is a lattice model of statistical mechanics.
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.
In physics, critical phenomena is the collective name associated with the physics of critical points.
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".
In the context of differential equations to integrate an equation means to solve it from initial conditions.
The Ising model, named after the physicist Ernst Ising, is a mathematical model of ferromagnetism in statistical mechanics.
The Kramers–Wannier duality is a symmetry in statistical 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.
In statistical mechanics, the Potts model, a generalization of the Ising model, is a model of interacting spins on a crystalline lattice.
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.
A spin model is a mathematical model used in physics primarily to explain magnetism.
Statistical mechanics is one of the pillars of modern physics.
In physics, the Yang–Baxter equation (or star-triangle relation) is a consistency equation which was first introduced in the field of statistical mechanics.