Incoherent boundary conditions and metastates

Aernout C.D. van Enter, Karel Netočný, Hendrikjan G. Schaap

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Abstract

In this contribution we discuss the role which incoherent boundary conditions can play in the study of phase transitions. This is a question of particular relevance for the analysis of disordered systems, and in particular of spin glasses. For the moment our mathematical results only apply to ferromagnetic models which have an exact symmetry between low-temperature phases. We give a survey of these results and discuss possibilities to extend them to some situations where many pure states can coexist. An idea of the proofs as well as the reformulation of our results in the language of Newman-Stein metastates are also presented.
Original languageEnglish
Title of host publicationDynamics & stochastics
PublisherUniversity of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science
Pages144-153
Number of pages10
Publication statusPublished - 2006

Keywords

  • local limit behaviour
  • Ising model
  • random boundary conditions
  • metastates
  • chaotic size dependence

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