Statements (50)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
|
| gptkbp:application |
gptkb:percolation_theory
gptkb:philosophy biology magnetism lattice gas models |
| gptkbp:describes |
interacting spins on a lattice
|
| gptkbp:dimensions |
three-dimensional
two-dimensional |
| gptkbp:field |
gptkb:statistical_mechanics
|
| gptkbp:generalizes |
gptkb:Ising_model
|
| gptkbp:Hamiltonian |
H = -J Σ δ(s_i, s_j)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Potts model
|
| gptkbp:introduced |
gptkb:Renfrey_Potts
|
| gptkbp:introducedIn |
1952
|
| gptkbp:isSolvable |
q=2 (Ising model)
q=3 (three-state Potts model) |
| gptkbp:latticeType |
gptkb:triangular_lattice
square lattice honeycomb lattice |
| gptkbp:parameter |
q (number of possible spin states)
|
| gptkbp:partitionFunction |
Z = Σ exp(-βH)
|
| gptkbp:relatedTo |
gptkb:Fortuin–Kasteleyn_representation
gptkb:Swendsen–Wang_algorithm gptkb:Wolff_algorithm gptkb:quantum_field_theory phase transitions graph theory universality critical phenomena percolation threshold vertex models critical exponents spin glass universality classes chromatic polynomial cluster algorithms duality transformation exactly solvable models first-order phase transition order-disorder transition quenched disorder random cluster model second-order phase transition self-duality |
| gptkbp:studiedBy |
gptkb:Monte_Carlo_simulations
renormalization group exact solutions (for some cases) |
| gptkbp:bfsParent |
gptkb:Ising_model
|
| gptkbp:bfsLayer |
5
|