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

P. Butera and M. Pernici

Physica A: Statistical Mechanics and its Applications, 2016, vol. 444, issue C, 220-234

Abstract: 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.

Keywords: Lattice hard-sphere gas; Virial expansion; Ising model; Low-temperature expansion (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:444:y:2016:i:c:p:220-234

DOI: 10.1016/j.physa.2015.09.103

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