Extension of the Lee-Yang Circle Theorem

David Ruelle
Phys. Rev. Lett. 26, 303 – Published 8 February 1971; Erratum Phys. Rev. Lett. 26, 870 (1971)
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Abstract

We study the zeros of the partition function of a classical spin system and compute a region of the complex fugacity plane where they necessarily lie. We recover the Lee-Yang circle theorem as a special example; we also find that a spin system with finite-range interaction has no phase transition at high temperature.

  • Received 7 December 1970

DOI:https://doi.org/10.1103/PhysRevLett.26.303

©1971 American Physical Society

Erratum

Extension of the Lee-Yang Circle Theorem

David Ruelle
Phys. Rev. Lett. 26, 870 (1971)

Authors & Affiliations

David Ruelle*,†

  • Institute for Advanced Study, Princeton, New Jersey 08540

  • *On leave of absence from Institut des Hautes Etudes Scientifiques, 91 Bures-sur-Yvette, France.
  • Research sponsored by the Alfred P. Sloan Foundation.

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Vol. 26, Iss. 6 — 8 February 1971

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