The Ising model (or Lenz–Ising model), named after the physicists Ernst Ising and Wilhelm Lenz, is a mathematical model of ferromagnetism in statistical...
126 KB (20,177 words) - 17:06, 10 April 2025
The transverse field Ising model is a quantum version of the classical Ising model. It features a lattice with nearest neighbour interactions determined...
10 KB (1,713 words) - 09:18, 5 April 2025
Ernst Ising (German: [ˈiːzɪŋ]; May 10, 1900 – May 11, 1998) was a German physicist, who is best remembered for the development of the Ising model. He was...
11 KB (1,220 words) - 14:42, 25 March 2025
104. ISBN 978-3-527-60686-3. "Ising model". nlab-pages.s3.us-east-2.amazonaws.com. Retrieved 2022-01-12. "The Ising Model". stanford.edu. Retrieved 2022-01-12...
5 KB (624 words) - 13:57, 30 October 2024
the two-dimensional square lattice Ising model is a simple lattice model of interacting magnetic spins. The model is notable for having nontrivial interactions...
11 KB (1,792 words) - 22:44, 7 July 2024
solutions in some interacting model systems. A classic example of this is the Ising model, which is a widely discussed toy model for the phenomena of ferromagnetism...
23 KB (2,828 words) - 20:30, 29 November 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 (2,729 words) - 08:05, 22 April 2025
Mean-field theory (redirect from Mean-field model)
some simple cases (e.g. certain Gaussian random-field theories, the 1D Ising model). Often combinatorial problems arise that make things like computing...
18 KB (2,966 words) - 22:11, 12 January 2025
Examples of exactly solvable models are the periodic 1D Ising model, and the periodic 2D Ising model with vanishing external magnetic field, H = 0 , {\displaystyle...
9 KB (1,478 words) - 18:14, 13 April 2025
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
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 (1,980 words) - 12:52, 29 January 2025
exponents of the ferromagnetic transition in the Ising model. In statistical physics, the Ising model is the simplest system exhibiting a continuous phase...
9 KB (830 words) - 14:37, 29 April 2025
Sherrington–Kirkpatrick model with external field or stochastic Ising model), named after Ludwig Boltzmann, is a spin-glass model with an external field...
29 KB (3,676 words) - 20:14, 28 January 2025
Social physics (section Ising model and voter dynamics)
physics is the relationship of the Ising model and the voting dynamics of a finite population. The Ising model, as a model of ferromagnetism, is represented...
17 KB (1,994 words) - 22:56, 14 January 2025
electrons in the structure and here the Ising model can predict their behaviour with each other. This model is important for solving and understanding...
48 KB (4,937 words) - 07:51, 14 April 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
to explain the physical origin of these phenomena, we shall use the Ising model as a pedagogical example. Consider a 2 D {\displaystyle 2D} square array...
12 KB (1,578 words) - 07:06, 22 April 2025
\beta }} Hence the critical β of the XY model cannot be smaller than the double of the critical β of the Ising model β c X Y ≥ 2 β c I s {\displaystyle \beta...
31 KB (4,861 words) - 22:58, 14 January 2025
chosen randomly from some specified probability distribution. The 1D Ising model of spin glass is usually written as H = − ∑ i = 1 N J i , i + 1 S i S...
12 KB (1,860 words) - 16:37, 26 June 2024
Conformal field theory (section Critical Ising model)
tensor operator).[citation needed] The critical Ising model is the critical point of the Ising model on a hypercubic lattice in two or three dimensions...
42 KB (7,036 words) - 08:25, 28 April 2025
Lee–Yang theory (section Ising model)
transitions. Originally developed for the Ising model, the theory has been extended and applied to a wide range of models and phenomena, including protein folding...
19 KB (2,935 words) - 18:18, 26 September 2023
learning models include support-vector machines, clustering and probabilistic graphical models. Moreover, due to its close connection to Ising models, QUBO...
14 KB (2,635 words) - 05:16, 24 December 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) - 20:43, 26 March 2025
antimonide. A simplified but highly useful model of magnetic phase transitions is provided by the Ising model. Phase transitions involving solutions and...
54 KB (6,649 words) - 04:41, 5 May 2025
the behavior of such "spin models" is a thriving area of research in condensed matter physics. For instance, the Ising model describes spins (dipoles)...
5 KB (543 words) - 22:53, 24 November 2023
statistical mechanics. The Ising model was developed by Wilhelm Lenz and Ernst Ising in the 1920s as a simple statistical mechanical model of magnets at equilibrium...
89 KB (10,413 words) - 06:01, 17 April 2025
Hopfield network (redirect from Hopfield model)
of associative memory was statistical mechanics. The Ising model was published in 1920s as a model of magnetism, however it studied the thermal equilibrium...
64 KB (8,525 words) - 04:00, 18 April 2025
statistical mechanics. The Ising model was developed by Wilhelm Lenz and Ernst Ising in the 1920s as a simple statistical mechanical model of magnets at equilibrium...
84 KB (8,626 words) - 11:12, 27 April 2025
Antiferromagnetism (category Quantum lattice models)
redirect targets Ising model – Mathematical model of ferromagnetism in statistical mechanics ANNNI model – Variant of the Ising model Mottness – Materials...
10 KB (1,293 words) - 15:38, 16 April 2025
1D Ising model, which is already solved by Ising himself. He then computed the transfer matrix of the "Ising ladder", meaning two 1D Ising models side-by-side...
22 KB (2,216 words) - 05:21, 15 October 2024