Kink topology control by high-frequency external forces in nonlinear Klein-Gordon models

被引：1

作者：

Alvarez-Nodarse, R. ^{[1
,2
]}

Quintero, N. R. ^{[1
,3
]}

Mertens, F. G. ^{[4
]}

机构：

[1] Univ Seville, Inst Matemat Univ Sevilla, E-41012 Seville, Spain

[2] Univ Seville, Dept Anal Matemat, E-41080 Seville, Spain

[3] Univ Seville, Dept Fis Aplicada 1, EPS, Seville 41011, Spain

[4] Univ Bayreuth, Inst Phys, D-95440 Bayreuth, Germany

来源：

PHYSICAL REVIEW E | 2014年 / 90卷 / 04期

关键词：

ANTIKINK INTERACTIONS; PI-KINKS; DYNAMICS; SOLITONS; PERTURBATIONS; CHAIN; COLLISIONS; EQUATION; SYSTEMS;

D O I：

10.1103/PhysRevE.90.042916

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

A method of averaging is applied to study the dynamics of a kink in the damped double sine-Gordon equation driven by both external (nonparametric) and parametric periodic forces at high frequencies. This theoretical approach leads to the study of a double sine-Gordon equation with an effective potential and an effective additive force. Direct numerical simulations show how the appearance of two connected p kinks and of an individual p kink can be controlled via the frequency. An anomalous negative mobility phenomenon is also predicted by theory and confirmed by simulations of the original equation.

引用

页数：9

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