Dependence of the phase transition temperature on the domain size is investigated for a double-well quadratic potential. It is shown that for a domain whose boundary is subjected to a hydrostatical pressure, the temperature of phase transitions is independent of the domain and the surface tension coefficient and depends exclusively on the properties of the elastic media. If the displacement field vanishes on the boundary, then for sufficiently small domains, the temperature also does not depend on the surface tension and domain size and is determined by properties of the elastic media only. Bibliography: 8 titles.

Original languageEnglish
Pages (from-to)304-312
Number of pages9
JournalJournal of Mathematical Sciences
Issue number3
Publication statusPublished - 1 Jan 2006

Scopus subject areas

  • Mathematics(all)

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