Metastability and the analytic continuation of eigenvalues

C. M. Newman; L. S. Schulman

doi:10.1063/1.523131

Metastability and the analytic continuation of eigenvalues

C. M. Newman, L. S. Schulman

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

A metastable analytic continuation of the Ising model free energy is conjectured to follow from certain analyticity properties of the eigenvalues of the transfer matrix. The resulting description of metastability is applicable to any system whose phase transition is associated with eigenvalue degeneracy. Motivation for the conjectures concerning the Ising model is provided by the study of eigenvalue continuation in several simpler systems.

Original language	English (US)
Pages (from-to)	23-30
Number of pages	8
Journal	Journal of Mathematical Physics
Volume	18
Issue number	1
DOIs	https://doi.org/10.1063/1.523131
State	Published - 1976

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.523131

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abstract = "A metastable analytic continuation of the Ising model free energy is conjectured to follow from certain analyticity properties of the eigenvalues of the transfer matrix. The resulting description of metastability is applicable to any system whose phase transition is associated with eigenvalue degeneracy. Motivation for the conjectures concerning the Ising model is provided by the study of eigenvalue continuation in several simpler systems.",

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AB - A metastable analytic continuation of the Ising model free energy is conjectured to follow from certain analyticity properties of the eigenvalues of the transfer matrix. The resulting description of metastability is applicable to any system whose phase transition is associated with eigenvalue degeneracy. Motivation for the conjectures concerning the Ising model is provided by the study of eigenvalue continuation in several simpler systems.

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Metastability and the analytic continuation of eigenvalues

Abstract

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