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Home > Art, Film & Photography > Lattice Models: Ising Model, Rule 184, Potts Model, Percolation Theory, Hubbard Model, Vertex Model, Kosterlitz-Thouless Transition
Lattice Models: Ising Model, Rule 184, Potts Model, Percolation Theory, Hubbard Model, Vertex Model, Kosterlitz-Thouless Transition

Lattice Models: Ising Model, Rule 184, Potts Model, Percolation Theory, Hubbard Model, Vertex Model, Kosterlitz-Thouless Transition


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About the Book

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 37. Chapters: Ising model, Rule 184, Potts model, Percolation theory, Hubbard model, Vertex model, Kosterlitz-Thouless transition, Square-lattice Ising model, Lattice QCD, Directed percolation, Lattice gauge theory, Domino tiling, Kuramoto model, Classical XY model, Fermion doubling, Kramers-Wannier duality, Heisenberg model, Spherical model, Cellular Potts model, S-duality, Lattice model, ANNNI model, Bethe lattice, Classical Heisenberg model, Lattice field theory, Toda field theory, Hamiltonian lattice gauge theory, N-vector model, Scaling limit, T-J model, Quenched approximation. Excerpt: The Ising model (English pronunciation: , German: ) is a mathematical model of ferromagnetism in statistical mechanics. The model consists of discrete variables called spins that can be in one of two states. The spins are arranged in a lattice or graph, and each spin interacts at most with its nearest neighbors. The goal is to find phase changes in the Ising model, as a simplified model of phase changes in real substances. The two-dimensional square lattice Ising model is one of the simplest statistical models to show a phase change. The Ising model was invented by the physicist Wilhelm Lenz (1920) who gave it as a problem to his student Ernst Ising after whom it is named. The one-dimensional Ising model has no phase change and was in 1924 already solved by Ernst Ising himself. The two-dimensional square lattice Ising model is much harder and, in the case of zero magnetic field, was given a complete analytic description much later, by Lars Onsager (1944). It is usually solved by a transfer-matrix method, although there exist different approaches, more related to quantum field theory. In dimensions greater than four, the phase-transition of the Ising model is described by mean field theory. Istrail (2000) showed that computing the free energy ...


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Product Details
  • ISBN-13: 9781156518335
  • Publisher: Books LLC, Wiki Series
  • Publisher Imprint: Books LLC, Wiki Series
  • Height: 246 mm
  • No of Pages: 38
  • Spine Width: 2 mm
  • Weight: 86 gr
  • ISBN-10: 1156518334
  • Publisher Date: 08 Oct 2011
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Ising Model, Rule 184, Potts Model, Percolation Theory, Hubbard Model, Vertex Model, Kosterlitz-Thouless Transition
  • Width: 189 mm


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