Highly-enhanced propagation of long-range kinks in heterogeneous media

Abstract We investigate a field-theoretical model that describes the interaction between kinks and antikinks and between kinks and other heterogeneous fields and impurities. We show that the long-range kink can tunnel through a barrier created by heterogeneous fields and impurities even when the ene...

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Main Authors: Jorge A. González, Alberto Bellorín, Luis E. Guerrero, Salvador Jiménez, Juan F. Marín
Format: Article
Language:English
Published: SpringerOpen 2024-10-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP10(2024)042
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author Jorge A. González
Alberto Bellorín
Luis E. Guerrero
Salvador Jiménez
Juan F. Marín
author_facet Jorge A. González
Alberto Bellorín
Luis E. Guerrero
Salvador Jiménez
Juan F. Marín
author_sort Jorge A. González
collection DOAJ
description Abstract We investigate a field-theoretical model that describes the interaction between kinks and antikinks and between kinks and other heterogeneous fields and impurities. We show that the long-range kink can tunnel through a barrier created by heterogeneous fields and impurities even when the energy of the center of mass of the kink is less than the height of the energy barrier. We also study the conditions under which the kink can pass freely through a disordered medium. We introduce the concept of “effective translational symmetry”. We compare our results with those from recent papers published in this journal, where the Bogomol’nyi-Prasad-Sommerfield property is discussed.
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issn 1029-8479
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publishDate 2024-10-01
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series Journal of High Energy Physics
spelling doaj-art-d13bc7ba871348d58704c41cd5efb5c72025-01-05T12:05:54ZengSpringerOpenJournal of High Energy Physics1029-84792024-10-0120241014910.1007/JHEP10(2024)042Highly-enhanced propagation of long-range kinks in heterogeneous mediaJorge A. González0Alberto Bellorín1Luis E. Guerrero2Salvador Jiménez3Juan F. Marín4Department of Physics, Florida International UniversityEscuela de Física, Facultad de Ciencias, Universidad Central de VenezuelaDepartamento de Física, Universidad Simón BolívarDepartamento de Matemática Aplicada a las TIC, ETSI Telecomunicación, Universidad Politécnica de MadridDepartamento de Física, Facultad de Ciencias Naturales, Matemática y del Medio Ambiente, Universidad Tecnológica MetropolitanaAbstract We investigate a field-theoretical model that describes the interaction between kinks and antikinks and between kinks and other heterogeneous fields and impurities. We show that the long-range kink can tunnel through a barrier created by heterogeneous fields and impurities even when the energy of the center of mass of the kink is less than the height of the energy barrier. We also study the conditions under which the kink can pass freely through a disordered medium. We introduce the concept of “effective translational symmetry”. We compare our results with those from recent papers published in this journal, where the Bogomol’nyi-Prasad-Sommerfield property is discussed.https://doi.org/10.1007/JHEP10(2024)042Integrable Field TheoriesSolitons Monopoles and Instantons
spellingShingle Jorge A. González
Alberto Bellorín
Luis E. Guerrero
Salvador Jiménez
Juan F. Marín
Highly-enhanced propagation of long-range kinks in heterogeneous media
Journal of High Energy Physics
Integrable Field Theories
Solitons Monopoles and Instantons
title Highly-enhanced propagation of long-range kinks in heterogeneous media
title_full Highly-enhanced propagation of long-range kinks in heterogeneous media
title_fullStr Highly-enhanced propagation of long-range kinks in heterogeneous media
title_full_unstemmed Highly-enhanced propagation of long-range kinks in heterogeneous media
title_short Highly-enhanced propagation of long-range kinks in heterogeneous media
title_sort highly enhanced propagation of long range kinks in heterogeneous media
topic Integrable Field Theories
Solitons Monopoles and Instantons
url https://doi.org/10.1007/JHEP10(2024)042
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AT luiseguerrero highlyenhancedpropagationoflongrangekinksinheterogeneousmedia
AT salvadorjimenez highlyenhancedpropagationoflongrangekinksinheterogeneousmedia
AT juanfmarin highlyenhancedpropagationoflongrangekinksinheterogeneousmedia