On the internal modes in sine-Gordon chain
Other Condensed Matter
2009-11-10 v1
Abstract
We address the issue of internal modes of a kink of a discrete sine-Gordon equation. The main point of the present study is to elucidate how the antisymmetric internal mode frequency dependence enters the quasicontinuum spectrum of nonlocalized waves. We analyze the internal frequency dependencies as functions of both the number of cites and discreteness parameter and explain the origin of spectrum peculiarity which arises after the frequency dependence of antisymmetric mode returns back to the continuous spectrum at some nonzero value of the intersite coupling.
Cite
@article{arxiv.cond-mat/0409653,
title = {On the internal modes in sine-Gordon chain},
author = {Jaroslaw E. Prilepsky and Alexander S. Kovalev},
journal= {arXiv preprint arXiv:cond-mat/0409653},
year = {2009}
}
Comments
5 pages, 3 figures