Metastability and the analytic continuation of eigenvalues

Charles Newman, L. S. Schulman

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)23-30
Number of pages8
JournalJournal of Mathematical Physics
Volume18
Issue number1
StatePublished - 1976

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Ising model
Metastability
Analytic Continuation
metastable state
eigenvalues
Eigenvalue
Ising Model
Free energy
Phase transitions
Analyticity
Transfer Matrix
Degeneracy
Continuation
Free Energy
Phase Transition
free energy

ASJC Scopus subject areas

  • Organic Chemistry

Cite this

Metastability and the analytic continuation of eigenvalues. / Newman, Charles; Schulman, L. S.

In: Journal of Mathematical Physics, Vol. 18, No. 1, 1976, p. 23-30.

Research output: Contribution to journalArticle

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