Skip to main content
SpringerLink
Log in

The Analyticity Region of the Hard Sphere Gas. Improved Bounds

  • Published:
Journal of Statistical Physics Aims and scope Submit manuscript

Abstract

We find an improved estimate of the radius of analyticity of the pressure of the hard-sphere gas in d dimensions. The estimates are determined by the volume of multidimensional regions that can be numerically computed. For d=2, for instance, our estimate is about 40% larger than the classical one.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Brydges, D.: In: Osterwalder, K., Stora, R. (eds.) A Short Course on Cluster Expansion. Les Houches, vol. 1984. North Holland, Amsterdam (1986)

    Google Scholar 

  2. Penrose, O.: Convergence of fugacity expansions for classical systems. In: Bak, A. (ed.) Statistical Mechanics: Foundations and Applications. Benjamin, New York (1967)

    Google Scholar 

  3. Procacci, A., Scoppola, B.: Polymer gas approach to N-body lattice systems. J. Stat. Phys. 96, 49–68 (1999)

    Article  MATH  Google Scholar 

  4. Fernández, R., Procacci, A.: Cluster expansion for abstract polymer models. New bounds from an old approach. Preprint arXiv math-ph/0605041, to appear in Commun. Math. Phys.

  5. Pfister, Ch.E.: Large deviation and phase separation in the two-dimensional Ising model. Helv. Phys. Acta 64, 953–1054 (1991)

    Google Scholar 

  6. Ruelle, D.: Statistical Mechanics: Rigorous Results. Benjamin, New York (1969)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laboratoire de Mathematiques Raphael Salem, UMR 6085 CNRS-Universite de Rouen, Avenue de l’Universite, BP.12, 76801, Saint-Etienne-du-Rouvray, France

    Roberto Fernández

  2. Departamento de Matemática, UFMG, 30161-970, Belo Horizonte, MG, Brazil

    Aldo Procacci

  3. Dipartimento di Matematica, Universitá “Tor Vergata” di Roma, V.le della Ricerca Scientifica, 00100, Roma, Italy

    Benedetto Scoppola

Authors
  1. Roberto Fernández
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Aldo Procacci
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Benedetto Scoppola
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Aldo Procacci.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fernández, R., Procacci, A. & Scoppola, B. The Analyticity Region of the Hard Sphere Gas. Improved Bounds. J Stat Phys 128, 1139–1143 (2007). https://doi.org/10.1007/s10955-007-9352-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10955-007-9352-7

Keywords

Search

Navigation