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...
Main Authors: | , |
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Format: | Article |
Language: | English |
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Elsevier
2021-07-01
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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. |
first_indexed | 2024-12-18T01:56:47Z |
format | Article |
id | doaj.art-59e17a7578024be5b51b9594582e4577 |
institution | Directory Open Access Journal |
issn | 0370-2693 |
language | English |
last_indexed | 2024-12-18T01:56:47Z |
publishDate | 2021-07-01 |
publisher | Elsevier |
record_format | Article |
series | Physics Letters B |
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 |
work_keys_str_mv | AT joaogfcampos interactionbetweenkinksandantikinkswithdoublelongrangetails AT azadehmohammadi interactionbetweenkinksandantikinkswithdoublelongrangetails |