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

S. E. Trullinger; K. Sasaki

doi:10.1016/0167-2789(87)90128-X

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

S. E. Trullinger, K. Sasaki

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	181-188
Number of pages	8
Journal	Physica D: Nonlinear Phenomena
Volume	28
Issue number	1-2
DOIs	https://doi.org/10.1016/0167-2789(87)90128-X
Publication status	Published - 1987 Sep
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/0167-2789(87)90128-X

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