Interaction between kinks and antikinks with double long-range tails

We explore a class of ϕ4n models with kink and antikink solutions that have long-range tails on both sides, specializing to the cases with n=2 and n=3. A recently developed method of an accelerating kink ansatz is used to estimate the force between the kink and the antikink. We use state-of-the-art...

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Main Authors: João G.F. Campos, Azadeh Mohammadi
Format: Article
Language:English
Published: Elsevier 2021-07-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269321003014
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author João G.F. Campos
Azadeh Mohammadi
author_facet João G.F. Campos
Azadeh Mohammadi
author_sort João G.F. Campos
collection DOAJ
description We explore a class of ϕ4n models with kink and antikink solutions that have long-range tails on both sides, specializing to the cases with n=2 and n=3. A recently developed method of an accelerating kink ansatz is used to estimate the force between the kink and the antikink. We use state-of-the-art numerical methods to initialize the system in a kink-antikink configuration with a finite initial velocity and to evolve the system according to the equations of motion. Among these methods, we propose a computationally efficient way to initialize the velocity field of the system. Interestingly, we discover that, for this class of models, ϕ4n with n>1, the kink-antikink annihilation behaves differently from the archetypal ϕ4 model or even the kinks with one long-range tail because there is neither long-lived bion formation nor resonance windows and the critical velocity is ultrarelativistic.
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spelling doaj.art-59e17a7578024be5b51b9594582e45772022-12-21T21:24:53ZengElsevierPhysics Letters B0370-26932021-07-01818136361Interaction between kinks and antikinks with double long-range tailsJoão G.F. Campos0Azadeh Mohammadi1Departamento de Física, Universidade Federal de Pernambuco, Av. Prof. Moraes Rego, 1235, Recife - PE - 50670-901, BrazilCorresponding author.; Departamento de Física, Universidade Federal de Pernambuco, Av. Prof. Moraes Rego, 1235, Recife - PE - 50670-901, BrazilWe explore a class of ϕ4n models with kink and antikink solutions that have long-range tails on both sides, specializing to the cases with n=2 and n=3. A recently developed method of an accelerating kink ansatz is used to estimate the force between the kink and the antikink. We use state-of-the-art numerical methods to initialize the system in a kink-antikink configuration with a finite initial velocity and to evolve the system according to the equations of motion. Among these methods, we propose a computationally efficient way to initialize the velocity field of the system. Interestingly, we discover that, for this class of models, ϕ4n with n>1, the kink-antikink annihilation behaves differently from the archetypal ϕ4 model or even the kinks with one long-range tail because there is neither long-lived bion formation nor resonance windows and the critical velocity is ultrarelativistic.http://www.sciencedirect.com/science/article/pii/S0370269321003014
spellingShingle João G.F. Campos
Azadeh Mohammadi
Interaction between kinks and antikinks with double long-range tails
Physics Letters B
title Interaction between kinks and antikinks with double long-range tails
title_full Interaction between kinks and antikinks with double long-range tails
title_fullStr Interaction between kinks and antikinks with double long-range tails
title_full_unstemmed Interaction between kinks and antikinks with double long-range tails
title_short Interaction between kinks and antikinks with double long-range tails
title_sort interaction between kinks and antikinks with double long range tails
url http://www.sciencedirect.com/science/article/pii/S0370269321003014
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