Complex temperature plane zeros in the mean-field approximation

descriptionPublicationkeyboard_double_arrow_right Article 01 Nov 1986 English Publisher:Springer Science and Business Media LLCJournal:Journal of Statistical Physics, volume 45, pages 451-457 (issn: 0022-4715, eissn: 1572-9613,

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Authors: M. L. Glasser; V. Privman; L. S. Schulman;

doi: 10.1007/bf01021081

Complex temperature plane zeros in the mean-field approximation

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Abstract

The authors derive asymptotic expressions for the complex temperature plane zeros of the infinite-range Ising model in the scaling regime. The results also apply to high-dimensional, short-range Ising systems. For the nth zero in a system of N spins, the leading asymptotic result is t/sub n/ varies as (n/N)/sup 1/2/(-1+/-i).

Related Organizations

Technion – Israel Institute of Technology
Israel
Clarke University
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