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

2015/10/21 by Butera, P., Pernici, M.
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.1510.06172

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

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