On the internal modes in sine-Gordon chain

Details On the internal modes in sine-Gordon chain On the internal modes in sine-Gordon chain

2004-09-24

arxiv.org/abs/cond-mat/0409653v1

Physics

Condensed Matter

Other Condensed Matter

5 pages, 3 figures

Scientific paper

10.1103/PhysRevE.71.046601

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.

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