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gptkbp:instanceOf
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statistical mechanics model
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gptkbp:alsoKnownAs
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gptkb:Ising_model
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gptkbp:appliesTo
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spin systems
lattice systems
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gptkbp:citation
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gptkb:Lenz,_W._(1920)._Beitrag_zum_Verständnis_der_magnetischen_Erscheinungen_in_festen_Körpern._Physikalische_Zeitschrift.
Ising, E. (1925). Beitrag zur Theorie des Ferromagnetismus. Zeitschrift für Physik.
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gptkbp:criticalTemperature
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exists in 2D and higher
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gptkbp:describes
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ferromagnetism
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gptkbp:developedBy
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gptkb:Ernst_Ising
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gptkbp:dimensions
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three-dimensional
two-dimensional
one-dimensional
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gptkbp:energyStates
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determined by spin configuration
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gptkbp:exactSolution
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two-dimensional case
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gptkbp:externalField
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can be included in Hamiltonian
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gptkbp:form
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gptkb:Monte_Carlo_simulation
renormalization group
transfer matrix method
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gptkbp:Hamiltonian
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sum of nearest-neighbor spin interactions
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gptkbp:hasUnsolvedProblems
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three-dimensional case
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https://www.w3.org/2000/01/rdf-schema#label
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Lenz-Ising model
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gptkbp:influenced
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gptkb:machine_learning
gptkb:network_protocol
modern statistical mechanics
computational methods in physics
theory of critical phenomena
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gptkbp:noPhaseTransition
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in 1D without external field
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gptkbp:order
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magnetization
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gptkbp:partitionFunction
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central to analysis
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gptkbp:proposedBy
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gptkb:Wilhelm_Lenz
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gptkbp:publicationYear
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1925
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gptkbp:relatedTo
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gptkb:Heisenberg_model
gptkb:mean_field_theory
gptkb:Potts_model
gptkb:XY_model
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gptkbp:solvedBy
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gptkb:Lars_Onsager
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gptkbp:studies
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phase transitions
critical phenomena
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gptkbp:symmetry
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gptkb:Z2_symmetry
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gptkbp:usedIn
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gptkb:sociophysics
gptkb:econophysics
computational physics
mathematical physics
neural networks
statistical physics
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gptkbp:variant
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spins (+1 or -1)
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gptkbp:yearProposed
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1920
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gptkbp:bfsParent
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gptkb:Wilhelm_Lenz
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gptkbp:bfsLayer
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5
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