The Ising model (or Lenz–Ising model), named after the physicists Ernst Ising and Wilhelm Lenz, is a mathematical model of ferromagnetism in statistical...

The transverse field Ising model is a quantum version of the classical Ising model. It features a lattice with nearest neighbour interactions determined...

the two-dimensional square lattice Ising model is a simple lattice model of interacting magnetic spins. The model is notable for having nontrivial interactions...

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...

some simple cases (e.g. certain Gaussian random-field theories, the 1D Ising model). Often combinatorial problems arise that make things like computing...

network (Ising model of a neural network or Ising–Lenz–Little model or Amari-Little-Hopfield network) is a spin glass system used to model neural networks...

exponents of the ferromagnetic transition in the Ising model. In statistical physics, the Ising model is the simplest system exhibiting a continuous phase...

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...

fundamental dynamics of the agents resemble the mechanics used in the Ising model of ferromagnetism. This primarily relies on the similar nature in which...

electrons in the structure and here the Ising model can predict their behaviour with each other. This model is important for solving and understanding...

the Ising model created by Wilhelm Lenz (1920) and Ernst Ising (1925) in relation to Cayley tree topologies and large neural networks. The Ising model is...

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...

learning models include support-vector machines, clustering and probabilistic graphical models. Moreover, due to its close connection to Ising models, QUBO...

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...

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...

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...

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...

the Ising model is a mathematical method to prove results. In applied mathematics, the construction of an irreducible Markov Chain in the Ising model is...

Jane Ising (1902-2012), German-American economist Rudolf Ising, animator for MGM, together with Hugh Harman often credited as: Harman-Ising Ising model, mathematical...

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...

statistics, econometrics, and signal processing, an autoregressive (AR) model is a representation of a type of random process; as such, it is used to...

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...

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...

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...

dimensions or when exact solutions are known such as the two-dimensional Ising model. The theoretical treatment in generic dimensions requires the renormalization...

Hence the critical β of the XY model cannot be smaller than the double of the critical temperature of the Ising model β c X Y ≥ 2 β c I s {\displaystyle...

 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...

the Landau theory, which is identical to the mean field theory for the Ising model, the value of the upper critical dimension comes out to be 4. If the...

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...

anisotropic) next-nearest neighbor Ising model, usually known as the ANNNI model, is a variant of the Ising model. In the ANNNI model, competing ferromagnetic and...