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  2. Ice-type model - Wikipedia

    en.wikipedia.org/wiki/Ice-type_model

    An ice-type model is a lattice model defined on a lattice of coordination number 4. That is, each vertex of the lattice is connected by an edge to four "nearest neighbours". A state of the model consists of an arrow on each edge of the lattice, such that the number of arrows pointing inwards at each vertex is 2.

  3. List of textbooks in thermodynamics and statistical mechanics

    en.wikipedia.org/wiki/List_of_textbooks_in...

    Introduction to Mathematical Statistical Mechanics. Providence, RI: American Mathematical Society. ISBN 978-0-8218-1337-9. Friedli, Sacha; Velenik, Yvan (2017). Statistical Mechanics of Lattice Systems: a Concrete Mathematical Introduction. Cambridge: Cambridge University Press. ISBN 978-1-107-18482-4.

  4. Classical XY model - Wikipedia

    en.wikipedia.org/wiki/Classical_XY_model

    The existence of the thermodynamic limit for the free energy and spin correlations were proved by Ginibre, extending to this case the Griffiths inequality. [3]Using the Griffiths inequality in the formulation of Ginibre, Aizenman and Simon [4] proved that the two point spin correlation of the ferromagnetics XY model in dimension D, coupling J > 0 and inverse temperature β is dominated by (i.e ...

  5. Potts model - Wikipedia

    en.wikipedia.org/wiki/Potts_model

    In statistical mechanics, the Potts model, a generalization of the Ising model, is a model of interacting spins on a crystalline lattice. [1] By studying the Potts model, one may gain insight into the behaviour of ferromagnets and certain other phenomena of solid-state physics.

  6. Lattice model (physics) - Wikipedia

    en.wikipedia.org/wiki/Lattice_model_(physics)

    In mathematical physics, a lattice model is a mathematical model of a physical system that is defined on a lattice, as opposed to a continuum, such as the continuum of space or spacetime. Lattice models originally occurred in the context of condensed matter physics, where the atoms of a crystal automatically form a lattice.

  7. Universality class - Wikipedia

    en.wikipedia.org/wiki/Universality_class

    In statistical mechanics, a universality class is a collection of mathematical models which share a single scale-invariant limit under the process of renormalization group flow. While the models within a class may differ dramatically at finite scales, their behavior will become increasingly similar as the limit scale is approached.

  8. Square lattice Ising model - Wikipedia

    en.wikipedia.org/wiki/Square_lattice_Ising_model

    In statistical mechanics, the two-dimensional square lattice Ising model is a simple lattice model of interacting magnetic spins. The model is notable for having nontrivial interactions, yet having an analytical solution. The model was solved by Lars Onsager for the special case that the external magnetic field H = 0. [1]

  9. Quantum Heisenberg model - Wikipedia

    en.wikipedia.org/wiki/Quantum_Heisenberg_model

    The quantum Heisenberg model, developed by Werner Heisenberg, is a statistical mechanical model used in the study of critical points and phase transitions of magnetic systems, in which the spins of the magnetic systems are treated quantum mechanically.