Dynamics and kinetics of solitons in the driven damped double Sine-Gordon equation

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Abstract

A damped double SG equation with a constant driving term describes a model of the Frenkel-Kontorova type in the case when the substrate potential contains a weak subharmonic component, and an external field is present. This equation generates three types of solitons: a 4π-kink and two sorts of 2π-kinks (with corresponding antikinks). It is demonstrated that collisions between kinks and/or antikinks give rise to various modes of annihilation and mutual conversion. Next, kinetics of a rarefied gas of kinks are considered, and a stable equilibrium solution of the corresponding kinetic equations is found. Collision-induced radiative effects and their influence on the kinetics of the rarefied gas are analyzed too.

Original languageEnglish
Pages (from-to)395-401
Number of pages7
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume136
Issue number7-8
DOIs
StatePublished - 17 Apr 1989
Externally publishedYes

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