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...

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...

will be the same for all models in the class. Some well-studied universality classes are the ones containing the Ising model or the percolation theory...

square lattice Ising model is a simple lattice model of interacting magnetic spins, an example of the class of Ising models. The model is notable for...

 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...

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

The Ising model is a prototypical model in statistical physics. The model consists of discrete variables that represent magnetic dipole moments of atomic...

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...

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...

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...

Sherrington–Kirkpatrick model with external field or stochastic Ising model), named after Ludwig Boltzmann, is a spin-glass model with an external field...

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

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...

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...

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...

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...

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

\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...

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...

through measurable quantities, such as the magnetic susceptibility in the Ising model. It also gives the idea of an upper critical dimension, a dimensionality...

antimonide. A simplified but highly useful model of magnetic phase transitions is provided by the Ising model. Phase transitions involving solutions and...

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...

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...

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...

and modular forms. The Hamiltonian of the zero-field one-dimensional Ising model of 2 N {\displaystyle 2N} spins with periodic boundary conditions can...

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...

system is expected to have reached the ground state of the classical Ising model that corresponds to the solution to the original optimization problem...

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...

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...