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gptkbp:instanceOf
|
statistical mechanics model
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|
gptkbp:basisFor
|
critical phenomena studies
|
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gptkbp:criticalTemperature
|
Tc = 2.269 J/kB
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gptkbp:describes
|
ferromagnetism
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gptkbp:dimensions
|
2
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gptkbp:exactSolution
|
no external field
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gptkbp:exhibits
|
phase transition
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gptkbp:field
|
condensed matter physics
statistical physics
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|
gptkbp:generalizes
|
1D Ising model
|
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gptkbp:Hamiltonian
|
H = -J Σ⟨i,j⟩ s_i s_j - h Σ_i s_i
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gptkbp:hasUnsolvedProblems
|
nonzero external field
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
2D Ising model
|
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gptkbp:interactsWith
|
nearest neighbor
|
|
gptkbp:latticeType
|
square lattice
|
|
gptkbp:magnetization
|
spontaneous below Tc
|
|
gptkbp:namedAfter
|
gptkb:Ernst_Ising
gptkb:Wilhelm_Lenz
|
|
gptkbp:order
|
magnetization
|
|
gptkbp:partitionFunction
|
exactly known
|
|
gptkbp:relatedTo
|
computational physics
mathematical physics
|
|
gptkbp:solutionYear
|
1944
|
|
gptkbp:solvedBy
|
gptkb:Lars_Onsager
|
|
gptkbp:spinValues
|
+1
-1
|
|
gptkbp:symmetry
|
gptkb:Z2_symmetry
|
|
gptkbp:universalityClass
|
gptkb:2D_Ising_universality_class
|
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gptkbp:usedIn
|
gptkb:Monte_Carlo_simulations
gptkb:renormalization_group_theory
|
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gptkbp:bfsParent
|
gptkb:2D_Ising_universality_class
|
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gptkbp:bfsLayer
|
8
|