• Thumbnail for Ising model
    The Ising model (or Lenz–Ising model), named after the physicists Ernst Ising and Wilhelm Lenz, is a mathematical model of ferromagnetism in statistical...
    88 KB (13,240 words) - 00:12, 11 June 2025
  • the critical exponents using the operator dimensions values from the following table: In d=2, the two-dimensional critical Ising model's critical exponents...
    9 KB (880 words) - 06:07, 18 June 2025
  • The two-dimensional critical Ising model is the critical limit of the Ising model in two dimensions. It is a two-dimensional conformal field theory whose...
    15 KB (3,287 words) - 13:34, 30 August 2024
  • The Ising model is a prototypical model in statistical physics. The model consists of discrete variables that represent magnetic dipole moments of atomic...
    35 KB (6,317 words) - 01:09, 11 June 2025
  • all spins. The two-dimensional critical Ising model includes the M ( 4 , 3 ) {\displaystyle {\mathcal {M}}(4,3)} Virasoro minimal model, which can be solved...
    42 KB (7,031 words) - 08:27, 18 May 2025
  • divergence in the specific heat. Indeed, like the one-dimensional Ising model, the one-dimensional XY model has no phase transitions at finite temperature....
    31 KB (4,861 words) - 22:58, 14 January 2025
  • minimal model with c = c 4 , 3 = 1 2 {\displaystyle c=c_{4,3}={\tfrac {1}{2}}} describes spin and energy correlators of the two-dimensional critical Ising model...
    33 KB (5,674 words) - 01:40, 21 January 2025
  • Ising model, which has a diagonal partition function in terms of Virasoro characters. It is possible to obtain the critical three-state Potts model from...
    9 KB (1,747 words) - 18:17, 27 April 2024
  • high dimensions or when exact solutions are known such as the two-dimensional Ising model. The theoretical treatment in generic dimensions requires the...
    19 KB (2,211 words) - 11:09, 15 November 2024
  • the two-dimensional square lattice Ising model is a simple lattice model of interacting magnetic spins, an example of the class of Ising models. The...
    15 KB (2,664 words) - 18:46, 10 June 2025
  • shall use the Ising model as a pedagogical example. Consider a 2 D {\displaystyle 2D} square array of classical spins which may only take two positions:...
    12 KB (1,578 words) - 07:06, 22 April 2025
  • Ising model. In the social physics model, each spin denotes an opinion, e.g. yes or no, and each space represents a "voter".[citation needed] If two adjacent...
    17 KB (1,994 words) - 12:51, 6 June 2025
  • Magnetic 2D materials (category Two-dimensional nanomaterials)
    with n = 1 {\displaystyle n=1} is described by the 2D Ising model. Onsager's solution to the model demonstrates that T C > 0 {\displaystyle T_{C}>0} , thus...
    17 KB (2,124 words) - 02:04, 25 May 2025
  • etc. the random cluster model is a random graph that generalizes and unifies the Ising model, Potts model, and percolation model. It is used to study random...
    13 KB (1,984 words) - 22:47, 13 May 2025
  • {\displaystyle Z_{N}} model (also known as the clock model) is a simplified statistical mechanical spin model. It is a generalization of the Ising model. Although...
    5 KB (1,047 words) - 05:09, 1 May 2024
  • 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...
    23 KB (3,645 words) - 09:43, 26 February 2025
  • Eugene Stanley as a generalization of the Ising model, XY model and Heisenberg model. In the n-vector model, n-component unit-length classical spins s...
    7 KB (1,193 words) - 03:27, 20 January 2025
  • Thumbnail for Stanislav Smirnov
    by Oded Schramm. He also established conformality for the two-dimensional critical Ising model. Smirnov was awarded the Saint Petersburg Mathematical Society...
    7 KB (551 words) - 11:08, 26 October 2024
  • are treated quantum mechanically. It is related to the prototypical Ising model, where at each site of a lattice, a spin σ i ∈ { ± 1 } {\displaystyle...
    16 KB (2,733 words) - 03:57, 2 June 2025
  • Thumbnail for Percolation theory
    modelled mathematically as a three-dimensional network of n × n × n vertices, usually called "sites", in which the edge or "bonds" between each two neighbors...
    26 KB (3,133 words) - 05:14, 12 April 2025
  • materials in the Ising model, enabling the study of phase transitions and critical phenomena. The Ising model, a mathematical model in statistical mechanics...
    7 KB (1,141 words) - 15:31, 30 August 2024
  • Glauber dynamics (category Spin models)
    simulate the Ising model (a model of magnetism) on a computer. The algorithm is named after Roy J. Glauber. The Ising model is an abstract model for the magnetic...
    6 KB (889 words) - 12:27, 13 June 2025
  • of critical properties of lattice models, one can recover the results of dimensional analysis in the appropriate scaling limit; e.g., dimensional analysis...
    96 KB (11,968 words) - 12:10, 15 June 2025
  • Kramers–Wannier duality (category Exactly solvable models)
    relates the free energy of a two-dimensional square-lattice Ising model at a low temperature to that of another Ising model at a high temperature. It was...
    12 KB (1,891 words) - 06:48, 31 May 2025
  • J. Ruiz-Lorenzo (1999). "Scaling corrections: site percolation and Ising model in three dimensions". Journal of Physics A. 32 (1): 1–13. arXiv:cond-mat/9805125...
    69 KB (6,563 words) - 14:07, 26 May 2025
  • described as a set of two-level systems. When the coupling between the light and matter crosses a critical value, the Dicke model shows a mean-field phase...
    35 KB (4,376 words) - 13:35, 25 May 2025
  • Thumbnail for Phase transition
    Phase transition (category Critical phenomena)
    of the heat capacity at the transition temperature, and the two-dimensional Ising model has a logarithmic divergence. However, these systems are limiting...
    54 KB (6,649 words) - 18:05, 25 May 2025
  • theory describing the critical points of the two-dimensional Ising model there is an operator σ {\displaystyle \sigma } whose dimension is 1/8. Operator multiplication...
    7 KB (959 words) - 13:32, 9 June 2025
  • ferromagnetic theory via the Ising model. The Kramers–Wannier duality yields the exact location of the critical point for the Ising model on the square lattice...
    5 KB (463 words) - 14:33, 30 November 2024
  • Scale invariance (category Critical phenomena)
    the Ising model lattice. So this anomalous dimension in the conformal field theory is the same as a particular critical exponent of the Ising model phase...
    32 KB (4,486 words) - 01:39, 2 June 2025