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.
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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The Chiral Potts model is a spin model on a planar lattice in statistical mechanics.
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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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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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In physics, critical phenomena is the collective name associated with the physics of critical points.
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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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In mathematics and physics, there are various distinct notions that are referred to under the name of integrable systems.
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The Ising model, named after the physicist Ernst Ising, is a mathematical model of ferromagnetism in statistical mechanics.
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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.
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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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A spin model is a mathematical model used in physics primarily to explain magnetism.
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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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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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