Discrete Klein-Gordon models with static kinks free of the Peierls-Nabarro potential

S. V. Dmitriev; P. G. Kevrekidis; N. Yoshikawa

doi:10.1088/0305-4470/38/35/002

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Discrete Klein-Gordon models with static kinks free of the Peierls-Nabarro potential

S. V. Dmitriev·P. G. Kevrekidis·N. Yoshikawa

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Abstract

For the nonlinear Klein-Gordon type models, we describe a general method of discretization in which the static kink can be placed anywhere with respect to the lattice. These discrete models are therefore free of the {\it static} Peierls-Nabarro potential. Previously reported models of this type are shown to belong to a wider class of models derived by means of the proposed method. A relevant physical consequence of our findings is the existence of a wide class of discrete Klein-Gordon models where slow kinks {\it practically} do not experience the action of the Peierls-Nabarro potential. Such kinks are not trapped by the lattice and they can be accelerated by even weak external fields.

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S. V. Dmitriev, P. G. Kevrekidis, N. Yoshikawa. 2005-06-01. Discrete Klein-Gordon models with static kinks free of the Peierls-Nabarro potential. https://doi.org/10.1088/0305-4470%2F38%2F35%2F002

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