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

P. Butera; M. Pernici

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arXiv · 1510.06172

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

P. Butera·M. Pernici

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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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P. Butera, M. Pernici. 2015-10-21. Ising low-temperature polynomials and hard-sphere gases on cubic lattices of general dimension. https://arxiv.org/abs/1510.06172

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