Specific models Specific models The correlation function in statistical mechanics is measure of the order in a system. ...more on Wikipedia about "Correlation function (statistical mechanics)"
Hard spheres are widely used as model particles in the statistical mechanical theory of fluids and solids. They are defined simply as impenetrable spheres that cannot overlap in space. They mimic the extremely strong repulsion that atoms and spherical molecules feel at very close distances. ...more on Wikipedia about "Hard spheres"
The Heisenberg model is the case of the n-vector model, one of the models used in statistical physics to model ferromagnetism, and other phenomena. ...more on Wikipedia about "Heisenberg model"
The Ising model, named after the physicist Ernst Ising, is a mathematical model in statistical mechanics. It can be represented on a graph where its configuration space is the set of all possible assignments of +1 or -1 to each vertex of the graph. To complete the model, a function, E(e) must be defined, giving the difference between the energy of the "bond" associated with the edge when the spins on both ends of the bond are opposite and the energy when they are aligned. It's also possible to have an external magnetic field. ...more on Wikipedia about "Ising model"
The Kosterlitz-Thouless transition is a special transition seen in the XY model for ...more on Wikipedia about "Kosterlitz-Thouless transition"
The n-vector model or O(n) model is one of the many highly simplified models in the branch of physics known as statistical mechanics. In the n-vector model, n-component, unit length, classical spins are placed on the vertices of a lattice. The Hamiltonian of the n-vector model is given by: ...more on Wikipedia about "N-vector model"
In statistical mechanics, the Potts model, a generalization of the Ising model, is a model of interacting spins on a crystalline lattice. By studying the Potts model, one may gain insight into the behaviour of ferromagnets and certain other phenomena of solid state physics. The strength of the Potts model is not so much that it models these physical systems well; it is rather that the one-dimensional case is exactly solvable, and that it has a rich mathematical formulation that has been studied extensively. ...more on Wikipedia about "Potts model"
Like the Ising model, the XY model is one of the many highly simplified models in the branch of physics known as statistical mechanics. It is a special case of the n-vector model.In the XY model, 2D classical spins are confined to some lattice. The spins are 2D unit vectors that obey O(2) (or U(1)) symmetry, (as they are classical spins). Mathematically, the Hamiltonian of the XY model ...more on Wikipedia about "XY model"
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