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gptkbp:instanceOf
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gptkb:logic
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gptkbp:application
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gptkb:lattice_gas
gptkb:sociophysics
biology
economics
neural networks
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gptkbp:criticalExponent
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gptkb:military_decoration
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gptkbp:describes
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ferromagnetism
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gptkbp:dimensions
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three-dimensional
two-dimensional
one-dimensional
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gptkbp:eventType
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nearest neighbor
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gptkbp:exhibits
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critical temperature
phase transition
spontaneous magnetization
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gptkbp:field
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gptkb:statistical_mechanics
physics
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gptkbp:form
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gptkb:Monte_Carlo_simulation
gptkb:mean_field_theory
renormalization group
transfer matrix
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gptkbp:Hamiltonian
|
sum over spin interactions
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https://www.w3.org/2000/01/rdf-schema#label
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Ising model
|
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gptkbp:introduced
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gptkb:Wilhelm_Lenz
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gptkbp:introducedIn
|
1920
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gptkbp:latticeType
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gptkb:cubic_lattice
gptkb:triangular_lattice
square lattice
|
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gptkbp:namedAfter
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gptkb:Ernst_Ising
|
|
gptkbp:notSolvedExactly
|
three dimensions
|
|
gptkbp:partitionFunction
|
Z
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|
gptkbp:period
|
disordered phase
ordered phase
|
|
gptkbp:powerSource
|
interaction energy
|
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gptkbp:relatedTo
|
gptkb:Heisenberg_model
gptkb:percolation_theory
gptkb:Potts_model
gptkb:XY_model
gptkb:random_field_Ising_model
|
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gptkbp:solutionYear
|
1944
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gptkbp:solvedBy
|
gptkb:Lars_Onsager
two dimensions
|
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gptkbp:solvedExactly
|
one dimension
two dimensions
|
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gptkbp:spinValues
|
+1
-1
|
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gptkbp:symmetry
|
gptkb:Z2_symmetry
|
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gptkbp:usedFor
|
phase transitions
critical phenomena
|
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gptkbp:variant
|
spins
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gptkbp:bfsParent
|
gptkb:Bethe–Peierls_approximation
gptkb:Bethe_lattice
gptkb:quantum_field_theory
|
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gptkbp:bfsLayer
|
4
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