Nonsymmetric moving breather collisions in the Peyrard-Bishop DNA model

We study nonsymmetric collisions of moving breathers (MBs) in the Peyrard-Bishop DNA model. In this paper we have considered the following types of nonsymmetric collisions: head-on collisions of two breathers traveling with different velocities; collisions of moving breathers with a stationary trapp...

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Autores: Álvarez Chillida, María Azucena, Romero Romero, Francisco, Romero, José M., Archilla, Juan F. R.
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2011
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/36617
Acceso en línea:http://hdl.handle.net/11441/36617
https://doi.org/10.3934/dcdss.2011.4.995
Access Level:acceso abierto
Palabra clave:Peyrard-Bishop DNA model
DNA
Klein-Gordon chains
Moving breathers
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spelling Nonsymmetric moving breather collisions in the Peyrard-Bishop DNA modelÁlvarez Chillida, María AzucenaRomero Romero, FranciscoRomero, José M.Archilla, Juan F. R.Peyrard-Bishop DNA modelDNAKlein-Gordon chainsMoving breathersDNAKlein-Gordon chainsMoving breathersWe study nonsymmetric collisions of moving breathers (MBs) in the Peyrard-Bishop DNA model. In this paper we have considered the following types of nonsymmetric collisions: head-on collisions of two breathers traveling with different velocities; collisions of moving breathers with a stationary trapped breather; and collisions of moving breathers traveling with the same direction. The various main observed phenomena are: one moving breather gets trapped at the collision region, and the other one is reflected; breather fusion without trapping, with the appearance of a new moving breather; and breather generation without trapping, with the appearance of new moving breathers traveling either with the same or different directions. For comparison we have included some results of a previous paper concerning to symmetric collisions, where two identical moving breathers traveling with opposite velocities collide. For symmetric collisions, the main observed phenomena are: breather generation with trapping, with the appearance of two new moving breathers with opposite velocities and a stationary breather trapped at the collision region; and breather generation without trapping, with the appearance of new moving breathers with opposite velocities. A common feature for all types of collisions is that the collision outcome depends on the internal structure of the moving breathers and the exact number of pair-bases that initially separates the stationary breathers when they are perturbed. As some nonsymmetric collisions result in the generation of a new stationary trapped breather of larger energy, the trapping phenomenon could play an important part of the complex mechanisms involved in the initiation of the DNA transcription processes.MICINNAmerican Institute of Mathematical Sciences (AIMS)Física Aplicada IFísica Atómica, Molecular y NuclearMinisterio de Ciencia e Innovación (MICIN). España2011info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/36617https://doi.org/10.3934/dcdss.2011.4.995reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésDiscrete and Continuous Dynamical Systems - Series S, 4(5), 995 - 1006, 2011FIS2008-0484dx.doi.org/10.3934/dcdss.2011.4.995info:eu-repo/semantics/openAccessoai:idus.us.es:11441/366172026-06-17T12:51:07Z
dc.title.none.fl_str_mv Nonsymmetric moving breather collisions in the Peyrard-Bishop DNA model
title Nonsymmetric moving breather collisions in the Peyrard-Bishop DNA model
spellingShingle Nonsymmetric moving breather collisions in the Peyrard-Bishop DNA model
Álvarez Chillida, María Azucena
Peyrard-Bishop DNA model
DNA
Klein-Gordon chains
Moving breathers
DNA
Klein-Gordon chains
Moving breathers
title_short Nonsymmetric moving breather collisions in the Peyrard-Bishop DNA model
title_full Nonsymmetric moving breather collisions in the Peyrard-Bishop DNA model
title_fullStr Nonsymmetric moving breather collisions in the Peyrard-Bishop DNA model
title_full_unstemmed Nonsymmetric moving breather collisions in the Peyrard-Bishop DNA model
title_sort Nonsymmetric moving breather collisions in the Peyrard-Bishop DNA model
dc.creator.none.fl_str_mv Álvarez Chillida, María Azucena
Romero Romero, Francisco
Romero, José M.
Archilla, Juan F. R.
author Álvarez Chillida, María Azucena
author_facet Álvarez Chillida, María Azucena
Romero Romero, Francisco
Romero, José M.
Archilla, Juan F. R.
author_role author
author2 Romero Romero, Francisco
Romero, José M.
Archilla, Juan F. R.
author2_role author
author
author
dc.contributor.none.fl_str_mv Física Aplicada I
Física Atómica, Molecular y Nuclear
Ministerio de Ciencia e Innovación (MICIN). España
dc.subject.none.fl_str_mv Peyrard-Bishop DNA model
DNA
Klein-Gordon chains
Moving breathers
DNA
Klein-Gordon chains
Moving breathers
topic Peyrard-Bishop DNA model
DNA
Klein-Gordon chains
Moving breathers
DNA
Klein-Gordon chains
Moving breathers
description We study nonsymmetric collisions of moving breathers (MBs) in the Peyrard-Bishop DNA model. In this paper we have considered the following types of nonsymmetric collisions: head-on collisions of two breathers traveling with different velocities; collisions of moving breathers with a stationary trapped breather; and collisions of moving breathers traveling with the same direction. The various main observed phenomena are: one moving breather gets trapped at the collision region, and the other one is reflected; breather fusion without trapping, with the appearance of a new moving breather; and breather generation without trapping, with the appearance of new moving breathers traveling either with the same or different directions. For comparison we have included some results of a previous paper concerning to symmetric collisions, where two identical moving breathers traveling with opposite velocities collide. For symmetric collisions, the main observed phenomena are: breather generation with trapping, with the appearance of two new moving breathers with opposite velocities and a stationary breather trapped at the collision region; and breather generation without trapping, with the appearance of new moving breathers with opposite velocities. A common feature for all types of collisions is that the collision outcome depends on the internal structure of the moving breathers and the exact number of pair-bases that initially separates the stationary breathers when they are perturbed. As some nonsymmetric collisions result in the generation of a new stationary trapped breather of larger energy, the trapping phenomenon could play an important part of the complex mechanisms involved in the initiation of the DNA transcription processes.
publishDate 2011
dc.date.none.fl_str_mv 2011
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/36617
https://doi.org/10.3934/dcdss.2011.4.995
url http://hdl.handle.net/11441/36617
https://doi.org/10.3934/dcdss.2011.4.995
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Discrete and Continuous Dynamical Systems - Series S, 4(5), 995 - 1006, 2011
FIS2008-0484
dx.doi.org/10.3934/dcdss.2011.4.995
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Institute of Mathematical Sciences (AIMS)
publisher.none.fl_str_mv American Institute of Mathematical Sciences (AIMS)
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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