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...

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

 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...

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...

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...

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

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 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...

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...

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

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...

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

\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...

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...

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...

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...

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...

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...

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...

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

the behavior of such "spin models" is a thriving area of research in condensed matter physics. For instance, the Ising model describes spins (dipoles)...

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

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...

of associative memory was statistical mechanics. The Ising model was published in 1920s as a model of magnetism, however it studied the thermal equilibrium...

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...

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...

redirect targets Ising model – Mathematical model of ferromagnetism in statistical mechanics ANNNI model – Variant of the Ising model Mottness – Materials...