Ising low-temperature polynomials and hard-sphere gases on cubic lattices of general dimension

We derive and analyze the low-activity and low-density expansions of the pressure for the model of a hard-sphere gas on cubic lattices of general dimension \(d\), through the 13th order. These calculations are based on our recent extension to dimension d of the low-temperature expansions for the spe...

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Bibliographic Details
Published inarXiv.org
Main Authors Butera, P, Pernici, M
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 21.10.2015
Subjects
Ising model
Lattices
Parameter estimation
Polynomials
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ISSN2331-8422

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Summary:We derive and analyze the low-activity and low-density expansions of the pressure for the model of a hard-sphere gas on cubic lattices of general dimension \(d\), through the 13th order. These calculations are based on our recent extension to dimension d of the low-temperature expansions for the specific free-energy of the spin-1/2 Ising models subject to a uniform magnetic field on the (hyper-)simple-cubic lattices. Estimates of the model parameters are given also for some other lattices
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ObjectType-Working Paper/Pre-Print-1
ISSN:2331-8422