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.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Applied Mathematics