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
收藏
页码:414 / 426
页数:13
相关论文
共 113 条
[1]   Kink Collisions in Curved Field Space [J].
Ahlqvist, Pontus ;
Eckerle, Kate ;
Greene, Brian .
JOURNAL OF HIGH ENERGY PHYSICS, 2015, (04)
[2]   Semi-analytic techniques for calculating bubble wall profiles [J].
Akula, Sujeet ;
Balazs, Csaba ;
White, Graham A. .
EUROPEAN PHYSICAL JOURNAL C, 2016, 76 (12)
[3]   Reflection, transmutation, annihilation, and resonance in two-component kink collisions [J].
Alonso-Izquierdo, A. .
PHYSICAL REVIEW D, 2018, 97 (04)
[4]   Kink dynamics in a system of two coupled scalar fields in two space-time dimensions [J].
Alonso-Izquierdo, A. .
PHYSICA D-NONLINEAR PHENOMENA, 2018, 365 :12-26
[5]   New Models for Two Real Scalar Fields and Their Kink-Like Solutions [J].
Alonso-Izquierdo, A. ;
Bazeia, D. ;
Losano, L. ;
Mateos Guilarte, J. .
ADVANCES IN HIGH ENERGY PHYSICS, 2013, 2013
[6]   FRACTAL STRUCTURE IN THE SCALAR LAMBDA(PHI-2-1)2 THEORY [J].
ANNINOS, P ;
OLIVEIRA, S ;
MATZNER, RA .
PHYSICAL REVIEW D, 1991, 44 (04) :1147-1160
[7]   Head butting sheep: kink collisions in the presence of false vacua [J].
Ashcroft, Jennifer ;
Eto, Minoru ;
Haberichter, Mareike ;
Nitta, Muneto ;
Paranjape, M. B. .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2016, 49 (36)
[8]   Collective coordinate approximation to the scattering of solitons in the (1+1) dimensional NLS model [J].
Baron, H. E. ;
Luchini, G. ;
Zakrzewski, W. J. .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2014, 47 (26)
[9]   Deformed defects for scalar fields with polynomial interactions [J].
Bazeia, D. ;
Leon, M. A. Gonzalez ;
Losano, L. ;
Guilarte, J. Mateos .
PHYSICAL REVIEW D, 2006, 73 (10)
[10]   Analytical study of kinklike structures with polynomial tails [J].
Bazeia, D. ;
Menezes, R. ;
Moreira, D. C. .
JOURNAL OF PHYSICS COMMUNICATIONS, 2018, 2 (05)