Investigation of the critical point in models of the type of Dyson's hierarchical models

P. M. Bleher, Ja G. Sinai

Research output: Contribution to journalArticlepeer-review

120 Scopus citations

Abstract

We consider the classical spin models where the Hamiltonians are small modifications of the Hamiltonians of Dyson's hierarchical models. Under some assumptions we investigate rigorously the neighbourhood of the critical point and find the critical indices. It follows that in the cases under consideration phenomenological Landau's theory of phase transitions is valid.

Original languageEnglish (US)
Pages (from-to)23-42
Number of pages20
JournalCommunications In Mathematical Physics
Volume33
Issue number1
DOIs
StatePublished - Mar 1973

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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