Thermalization of a driven bi-stable FPU chain

Yalchin Efendiev, Lev Truskinovsky

Research output: Contribution to journalArticlepeer-review

29 Scopus citations

Abstract

We study Hamiltonian dynamics of a Fermi-Pasta-Ulam (FPU) chain with bi-stable elements. We show, that a quasi-static driving of a 'cold' chain beyond the spinodal threshold leads to complex dynamical behavior involving equipartition which suggests thermalization. The subsequent quasi-static cycling between the two energy wells produces reversible temperature oscillations which we link to the release (or absorbtion) of the latent heat. By adopting canonical distribution we obtain a thermodynamical description of the chain which agrees well with numerically computed time-averaged behavior of the corresponding dynamical system.

Original languageEnglish (US)
Pages (from-to)679-698
Number of pages20
JournalContinuum Mechanics and Thermodynamics
Volume22
Issue number6
DOIs
StatePublished - Sep 1 2010

Keywords

  • Bi-stable elements
  • Ergodicity
  • Fermi-Pasta-Ulam system
  • Latent heat
  • Statistical mechanics
  • Thermolization

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Physics and Astronomy(all)

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