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two-dimensional Ising model

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  • Ising model — The Ising model, named after the physicist Ernst Ising, is a mathematical model in statistical mechanics. It has since been used to model diverse phenomena in which bits of information, interacting in pairs, produce collectiveeffects.Definition… …   Wikipedia

  • Square-lattice Ising model — The two dimensional square lattice Ising model was solved by Lars Onsager in 1944 for the special case that the external field H = 0. The general case for H eq 0 has yet to be found.Consider the 2D Ising model on a square lattice Lambda with N… …   Wikipedia

  • Dimensional analysis — In physics and all science, dimensional analysis is a tool to find or check relations among physical quantities by using their dimensions. The dimension of a physical quantity is the combination of the basic physical dimensions (usually mass,… …   Wikipedia

  • Zimm-Bragg model — In statistical mechanics, the Zimm Bragg model is a helix coil transition model that describes helix coil transitions of macromolecules, usually polymer chains. Most models provide a reasonable approximation of the fractional helicity of a given… …   Wikipedia

  • Potts 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… …   Wikipedia

  • Classical XY model — The classical XY model (sometimes also called classical rotor (rotator) model or O(2) model) is a model of statistical mechanics. It is the special case of the n vector model for n = 2. Contents 1 Definition 2 General properties 2.1 One dimension …   Wikipedia

  • Vertex model — A vertex model is a type of statistical mechanics model in which the Boltzmann weights are associated with a vertex in the model (representing an atom or particle). This contrasts with a nearest neighbour model, such as the Ising model, in which… …   Wikipedia

  • Shortcut model — An important question in statistical mechanics is the dependence of model behaviour on the dimension of the system. The shortcut modelcite journal|author=Shanker, O.|year=2007|title=Graph Zeta Function and Dimension of Complex… …   Wikipedia

  • Ernst Ising — (born May 10, 1900, Cologne, Germany ndash; May 11, 1998, Peoria, Illinois, USA) was a German physicist, who is best remembered for the development of the Ising model of ferromagnetism. He was a professor of physics at Bradley University until… …   Wikipedia

  • Heisenberg model (quantum) — The Heisenberg model is a statistical mechanical model used in the study of critical points and phase transitions of magnetic systems, in which the spin of the magnetic systems are treated quantum mechanically. In the prototypical Ising model,… …   Wikipedia

  • Majumdar–Ghosh Model — The Majumdar Ghosh model is an extension of the one dimensional quantum Heisenberg spin model in which an extra interaction is added coupling spins two lattice spacings apart such that second neighbor coupling half as strong the first. It is… …   Wikipedia

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