Classical Hard-Sphere Fluid in Infinitely Many Dimensions

H. L. Frisch; N. Rivier; D. Wyler

doi:10.1103/PhysRevLett.54.2061

Classical Hard-Sphere Fluid in Infinitely Many Dimensions

H. L. Frisch, N. Rivier, and D. Wyler

Phys. Rev. Lett. 54, 2061 – Published 13 May 1985; Errata Phys. Rev. Lett. 55, 550 (1985); Phys. Rev. Lett. 57, 1192 (1986)

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.

Received 2 January 1984

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

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)

Authors & Affiliations

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.

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)

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Vol. 54, Iss. 19 — 13 May 1985

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Physical Review Letters

Classical Hard-Sphere Fluid in Infinitely Many Dimensions

H. L. Frisch, N. Rivier, and D. Wyler

Phys. Rev. Lett. 54, 2061 – Published 13 May 1985; Errata Phys. Rev. Lett. 55, 550 (1985); Phys. Rev. Lett. 57, 1192 (1986)

Abstract

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)

Authors & Affiliations

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)

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