Perturbation analysis of weakly discrete kinks

Preprint

5 September 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9709069

Abstract

We present a perturbation theory of kink solutions of discrete Klein-Gordon chains. The unperturbed solutions correspond to the kinks of the adjoint partial differential equation. The perturbation theory is based on a reformulation of the discrete chain problem into a partial differential equation with spatially modulated mass density. The first order corrections to the kink solutions are obtained analytically and are shown to agree with exact numerical results. We discuss the problem of calculating the Peierls-Nabarro barrier.

Keywords

PERTURBATION ANALYSIS
DIFFERENTIAL EQUATION
PARTIAL DIFFERENTIAL
PERTURBATION THEORY
WEAKLY DISCRETE
KINK SOLUTIONS
DISCRETE KINKS

All Related Versions

Version 1, 1997-09-05, ArXiv
Published version: Physical Review E, 54 (3), 2912.

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