Scattering of the φ8 kinks with power-law asymptotics

被引：66

作者：

Belendryasova, Ekaterina ^{[1
]}

Gani, Vakhid A. ^{[1
,2
]}

机构：

[1] Natl Res Nucl Univ MEPhI, Moscow Engn Phys Inst, Kashirskoe Shosse 31, Moscow 115409, Russia

[2] Natl Res Ctr Kurchatov Inst, Inst Theoret & Expt Phys, Theory Dept, Bolshaya Cheremushkinskaya St 25, Moscow 117218, Russia

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2019年 / 67卷

关键词：

Kinks scattering; Resonance phenomena; Long-range interaction; Topological defect; ANTIKINK INTERACTIONS; KINKLIKE STRUCTURES; DYNAMICS; ENERGY; FIELD; SOLITONS; MODEL;

D O I：

10.1016/j.cnsns.2018.07.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the scattering of the phi(8) kinks off each other, namely, we consider those phi(8) kinks that have power-law asymptotics. The slow power-law fall-off leads to a long-range interaction between the kink and the antikink. We investigate how the scattering scenarios depend on the initial velocities of the colliding kinks. In particular, we observe the 'escape windows' - the escape of the kinks after two or more collisions, explained by the resonant energy exchange between the translational and vibrational modes. In order to elucidate this phenomenon, we also analyze the excitation spectra of a solitary kink and of a composite kink+antikink configuration. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：414 / 426

页数：13

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