"Free" evolution of multi-particle excitations in the Glauber dynamics at high temperature

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Abstract

The paper is devoted to the spectral properties of the Glauber dynamics for the Ising model at high temperature 1/β. It is proven that for sufficiently small |β| there is an invariant subspace, in which the dynamics can be described as "a free multi-particle evolution", provided that the one-particle subspace is singled out. The proof is based upon the Haag-Ruelle scattering theory.

Original languageEnglish
Pages (from-to)1091-1111
Number of pages21
JournalJournal of Statistical Physics
Volume104
Issue number5-6
DOIs
Publication statusPublished - Sep 2001
Externally publishedYes

Keywords

  • Generator of the Glauber dynamics
  • K-particle subspace
  • Second quantization
  • Wave operator

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