Journal of Physics C Solid State Physics · 1974 · 43 citations · 16 references
Natural SciencesPhysicsCondensed Matter PhysicsTheoretical PhysicsThermodynamicsApproximation MethodsCritical PhenomenaMany-body PhysicsPhase TransitionsStatistical MechanicsCritical ExponentsHeisenberg ModelIsing ModelLattice Gas ModelsMany-body Correlation EffectsMany-body CorrelationsMany-body EffectsPadé Approximation
For pt. III see abstr. A23213 of 1974. The critical exponent beta is examined for two three-dimensional Ising model systems which allow admixtures of three and four-body terms to be present in the Hamiltonian. Low-temperature series expansions, combined with a Pade approximant analysis are used to form estimates of the exponents. Strong evidence is found in support of potential sensitivity in the exponent beta , and examples of the specific heat exponent alpha ' are also discussed. The variability of the critical exponents is discussed in relation to the Universally postulate and to generalized lattice-gas models.
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Partition function of the Eight-Vertex lattice model
R. J. Baxter · Annals of Physics · 1972 · 1.7K citations