Lattice-discreteness corrections in the transfer-operator method for kink-bearing chains

S. E. Trullinger, K. Sasaki

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

Currie, Krumhansl, Bishop and Trullinger have studied the classical statistical mechanics of one-dimensional chains of harmonically coupled particles in an external kink-bearing potential of the nonlinear Klein-Gordon variety. We derive and examine first-order lattice-discreteness corrections to their "Schrödinger equation" (continuum limit) approximation of the transfer-integral operator equation. We find a simple formula for the lowest-order correction to the free energy which is valid for the entire class of such systems.

Original languageEnglish
Pages (from-to)181-188
Number of pages8
JournalPhysica D: Nonlinear Phenomena
Volume28
Issue number1-2
DOIs
Publication statusPublished - 1987 Sep
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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