Dynamics of mean-field spin models from basic results in abstract differential equations

Fabio Bagarello, Bagarello, Morchio

Research output: Contribution to journalArticle

49 Citations (Scopus)

Abstract

The infinite-volume limit of the dynamics of (generalized) mean-field spin models is obtained through a direct analysis of the equations of motion, in a large class of representations of the spin algebra. The resulting dynamics fits into a general framework for systems with long-range interaction: variables at infinity appear in the time evolution of local variables and spontaneous symmetry breaking with an energy gap follows from this mechanism. The independence of the construction of the approximation scheme in finite volume is proven. © 1992 Plenum Publishing Corporation.
Original languageEnglish
Pages (from-to)849-866
Number of pages18
JournalJournal of Statistical Physics
Volume66
Publication statusPublished - 1992

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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