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

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  • Butera, P.
  • Pernici, M.

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.

Suggested Citation

  • Butera, P. & Pernici, M., 2016. "Ising low-temperature polynomials and hard-sphere gases on cubic lattices of general dimension," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 220-234.
    • Handle: RePEc:eee:phsmap:v:444:y:2016:i:c:p:220-234
    DOI: 10.1016/j.physa.2015.09.103
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    References listed on IDEAS

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    1. Frenkel, Daan, 1999. "Entropy-driven phase transitions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 263(1), pages 26-38.
    2. Heringa, J.R. & Blöte, H.W.J., 1998. "Cluster dynamics and universality of Ising lattice gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 251(1), pages 224-234.
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    Cited by:

    1. Butera, P. & Pernici, M., 2018. "The Blume–Capel model for spins S=1 and 3∕2 in dimensions d=2 and 3," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 22-66.

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