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 | |
| 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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Trullinger, S. E., & Sasaki, K. (1987). Lattice-discreteness corrections in the transfer-operator method for kink-bearing chains. Physica D: Nonlinear Phenomena, 28(1-2), 181-188. https://doi.org/10.1016/0167-2789(87)90128-X