Disambiguation evidence for Ising models via surface form
"Ising model"
As subject (56)
Triples where this entity appears as subject under the
label "Ising model".
| Predicate | Object |
|---|---|
| HamiltonianForm | H = -∑_{⟨i,j⟩} J_{ij} s_i s_j - ∑_i h_i s_i ⓘ |
| OnsagerSolutionYear | 1944 ⓘ |
| canInclude | long-range interactions ⓘ |
| computationalComplexity | NP-hard for general graphs ⓘ |
| describes | interacting binary variables ⓘ |
| describes | spins on a lattice ⓘ |
| equivalentTo | binary Markov random field ⓘ |
| exactSolution | two-dimensional zero-field case ⓘ |
| exactSolutionBy | Lars Onsager ⓘ |
| field | condensed matter physics ⓘ |
| field | machine learning ⓘ |
| field | probability theory ⓘ |
| field | statistical mechanics ⓘ |
| generalization | Heisenberg model ⓘ |
| generalization | Potts model ⓘ |
| generalization | spin glass models ⓘ |
| instanceOf | mathematical model ⓘ |
| instanceOf | statistical mechanics model ⓘ |
| interactionParameter | J_{ij} ⓘ |
| interactionType | nearest-neighbor interaction ⓘ |
| localFieldParameter | h_i ⓘ |
| namedAfter | Ernst Ising ⓘ |
| noFiniteTemperatureTransition | one dimension ⓘ |
| parameter | inverse temperature β ⓘ |
| partitionFunctionSymbol | Z ⓘ |
| phaseTransitionDimension | three dimensions ⓘ |
| phaseTransitionDimension | two dimensions ⓘ |
| probabilityDistributionForm | P(s) ∝ exp(-βH(s)) ⓘ |
| proposedBy | Wilhelm Lenz ⓘ |
| relatedConcept |
Curie point (Curie temperature)
ⓘ
surface form:
Curie temperature
|
| relatedConcept | critical exponents ⓘ |
| relatedConcept | spontaneous magnetization ⓘ |
| relatedConcept | universality class ⓘ |
| relatedOptimizationFormulation | quadratic unconstrained binary optimization ⓘ |
| representation | graphical model ⓘ |
| spinValues | +1 ⓘ |
| spinValues | -1 ⓘ |
| spinVariableSymbol | s_i ⓘ |
| typicalLattice | one-dimensional lattice ⓘ |
| typicalLattice | three-dimensional lattice ⓘ |
| typicalLattice | two-dimensional lattice ⓘ |
| usedFor | Boltzmann machine design ⓘ |
| usedFor | Markov random fields ⓘ |
| usedFor | combinatorial optimization ⓘ |
| usedFor | image denoising ⓘ |
| usedFor | probabilistic graphical modeling ⓘ |
| usedFor | quantum annealing formulations ⓘ |
| usedFor | study of critical phenomena ⓘ |
| usedFor | study of ferromagnetism ⓘ |
| usedFor | study of phase transitions ⓘ |
| usedIn | computational biology ⓘ |
| usedIn | neuroscience network modeling ⓘ |
| usedIn | social interaction models ⓘ |
| variableType | binary spin ⓘ |
| yearAnalyzedByIsing | 1924 ⓘ |
| yearProposed | 1920 ⓘ |
As object (1)
Triples where some other subject referred to this entity
as "Ising model".
surface form:
Hopfield network