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 speci...

Full description

Saved in:
Bibliographic Details
Main Authors Butera, P, Pernici, M
Format Journal Article
LanguageEnglish
Published 21.10.2015
Subjects
Physics - High Energy Physics - Lattice
Physics - Statistical Mechanics
Online AccessGet full text
DOI10.48550/arxiv.1510.06172

Cover

More Information
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
DOI:10.48550/arxiv.1510.06172