Conditional equilibrium and the equivalence of microcanonical and grandcanonical ensembles in the thermodynamic limit

Michael Aizenman, Sheldon Goldstein, Joel L. Lebowitz

Research output: Contribution to journalArticle

21 Scopus citations

Abstract

Equivalence (allowing for convex combinations) of microcanonical, canonical and grandcanonical ensembles for states of classical systems is established under very mild assumptions on the limiting state. We introduce the notion of conditional equilibrium (C.E.), a property of states of infinite systems which characterizes convex combinations of limits of microcanonical ensembles. It is shown that C.E. states are, under quite general conditions, mixtures of Gibbs states.

Original languageEnglish (US)
Pages (from-to)279-302
Number of pages24
JournalCommunications In Mathematical Physics
Volume62
Issue number3
DOIs
StatePublished - Oct 1 1978

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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