Internal modes in sine-Gordon chain

Jaroslaw E. Prilepsky; Alexander S. Kovalev

doi:10.1103/physreve.71.046601

Internal modes in sine-Gordon chain

Jaroslaw E. Prilepsky, Alexander S. Kovalev

Aston Institute of Photonic Technologies (AiPT)

Research output: Contribution to journal › Article › peer-review

Abstract

We address the issue of internal modes of a stable kink in a discrete sine-Gordon equation. The aim of the present study is to elucidate the effects due to the detachment of the frequency dependence of antisymmetric internal mode from the spectrum. We analyze the frequencies of the lowest modes as functions of both the number of sites and the discreteness parameter. Using a simplified approach we explain the origin of the spectrum peculiarity, which arises when the frequency dependence detaches from the quasicontinuous spectrum at some value of the intersite coupling.

Original language	English
Article number	046601
Journal	Physical Review E
Volume	71
DOIs	https://doi.org/10.1103/physreve.71.046601
Publication status	Published - 1 Apr 2005

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https://arxiv.org/pdf/cond-mat/0409653.pdf

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title = "Internal modes in sine-Gordon chain",

abstract = "We address the issue of internal modes of a stable kink in a discrete sine-Gordon equation. The aim of the present study is to elucidate the effects due to the detachment of the frequency dependence of antisymmetric internal mode from the spectrum. We analyze the frequencies of the lowest modes as functions of both the number of sites and the discreteness parameter. Using a simplified approach we explain the origin of the spectrum peculiarity, which arises when the frequency dependence detaches from the quasicontinuous spectrum at some value of the intersite coupling.",

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AB - We address the issue of internal modes of a stable kink in a discrete sine-Gordon equation. The aim of the present study is to elucidate the effects due to the detachment of the frequency dependence of antisymmetric internal mode from the spectrum. We analyze the frequencies of the lowest modes as functions of both the number of sites and the discreteness parameter. Using a simplified approach we explain the origin of the spectrum peculiarity, which arises when the frequency dependence detaches from the quasicontinuous spectrum at some value of the intersite coupling.

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DO - 10.1103/physreve.71.046601

M3 - Article

SN - 1539-3755

VL - 71

JO - Physical Review E

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Internal modes in sine-Gordon chain

Abstract

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