Perturbation analysis of weakly discrete kinks

Sergej Flach, K. Kladko

Type: Article

Publication Date: 1996-09-01

Citations: 23

DOI: https://doi.org/10.1103/physreve.54.2912

Abstract

We present a perturbation theory of static 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 use these findings to reconsider the problem of calculating the Peierls-Nabarro barrier. \textcopyright{} 1996 The American Physical Society.

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Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics - View
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