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Classical Hard-Sphere Fluid in Infinitely Many Dimensions

H. L. Frisch*, N. Rivier†, and D. Wyler‡

  • Institute for Theoretical Physics, University of California, Santa Barbara, California 93106

  • *Permanent address: Department of Chemistry, State University of New York, Albany, N.Y. 12222.
  • †Permanent address: Blackett Laboratory, Imperial College, London SW7 2BZ, England.
  • ‡Permanent address: Theoretische Physik, Eidgenössische Technische Hochschule Zurich, Zurich, Switzerland.
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Phys. Rev. Lett. 54, 2061 – Published 13 May, 1985Errata Phys. Rev. Lett. 55, 550 (1985); Phys. Rev. Lett. 57, 1192 (1986)

DOI: https://doi.org/10.1103/PhysRevLett.54.2061

Abstract

The equation of state of the fluid phase of the classical hard-sphere system in infinitely many dimensions has been obtained exactly. Only the first two virial coefficients are nonvanishing. The upper bound for the coefficients of the Mayer series for nonnegative interaction potentials is reached by this system.

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Errata

Classical Hard-Sphere Fluid in Infinitely Many Dimensions

H. L. Frisch, N. Rivier, and D. Wyler
Phys. Rev. Lett. 55, 550 (1985)

Frisch, Rivier, and Wyler Respond

H. L. Frisch, N. Rivier, and D. Wyler
Phys. Rev. Lett. 57, 1192 (1986)

Comments & Replies

Comment on "Classical Hard-Sphere Fluid in Infinitely Many Dimensions"

Marshall Luban
Phys. Rev. Lett. 56, 2330 (1986)

Frisch, Rivier, and Wyler Respond

H. L. Frisch, N. Rivier, and D. Wyler
Phys. Rev. Lett. 56, 2331 (1986)

References (14)

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Phys. Rev. Lett. 54, 2061– Published 13 May, 1985
  • Received 2 January 1984

© 1985 American Physical Society

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