Time-delayed reaction-diffusion fronts

A time-delayed second-order approximation for the front speed in reaction-dispersion systems was obtained by Fort and Méndez [Phys. Rev. Lett. 82, 867 (1999)]. Here we show that taking proper care of the effect of the time delay on the reactive process yields a different evolution equation and, ther...

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Detalles Bibliográficos
Autores: Isern Sardó, Neus, Fort, Joaquim
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2009
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:10256/7709
Acceso en línea:http://hdl.handle.net/10256/7709
Access Level:acceso abierto
Palabra clave:Equacions de reacció-difusió
Reaction-diffusion equations
Neolític -- Models matemàtics
Neolithic period -- Mathematical models
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spelling Time-delayed reaction-diffusion frontsIsern Sardó, NeusFort, JoaquimEquacions de reacció-difusióReaction-diffusion equationsNeolític -- Models matemàticsNeolithic period -- Mathematical modelsA time-delayed second-order approximation for the front speed in reaction-dispersion systems was obtained by Fort and Méndez [Phys. Rev. Lett. 82, 867 (1999)]. Here we show that taking proper care of the effect of the time delay on the reactive process yields a different evolution equation and, therefore, an alternate equation for the front speed. We apply the new equation to the Neolithic transition. For this application the new equation yields speeds about 10% slower than the previous oneAmerican Physical Society2009info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10256/7709http://hdl.handle.net/10256/7709© Physical Review E, 2009, vol. 80, núm. 5, p. 057103Articles publicats (D-F)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)Inglésinfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.80.057103info:eu-repo/semantics/altIdentifier/issn/1539-3755info:eu-repo/semantics/altIdentifier/eissn/1550-2376Tots els drets reservatsinfo:eu-repo/semantics/openAccessoai:recercat.cat:10256/77092026-05-29T05:05:01Z
dc.title.none.fl_str_mv Time-delayed reaction-diffusion fronts
title Time-delayed reaction-diffusion fronts
spellingShingle Time-delayed reaction-diffusion fronts
Isern Sardó, Neus
Equacions de reacció-difusió
Reaction-diffusion equations
Neolític -- Models matemàtics
Neolithic period -- Mathematical models
title_short Time-delayed reaction-diffusion fronts
title_full Time-delayed reaction-diffusion fronts
title_fullStr Time-delayed reaction-diffusion fronts
title_full_unstemmed Time-delayed reaction-diffusion fronts
title_sort Time-delayed reaction-diffusion fronts
dc.creator.none.fl_str_mv Isern Sardó, Neus
Fort, Joaquim
author Isern Sardó, Neus
author_facet Isern Sardó, Neus
Fort, Joaquim
author_role author
author2 Fort, Joaquim
author2_role author
dc.subject.none.fl_str_mv Equacions de reacció-difusió
Reaction-diffusion equations
Neolític -- Models matemàtics
Neolithic period -- Mathematical models
topic Equacions de reacció-difusió
Reaction-diffusion equations
Neolític -- Models matemàtics
Neolithic period -- Mathematical models
description A time-delayed second-order approximation for the front speed in reaction-dispersion systems was obtained by Fort and Méndez [Phys. Rev. Lett. 82, 867 (1999)]. Here we show that taking proper care of the effect of the time delay on the reactive process yields a different evolution equation and, therefore, an alternate equation for the front speed. We apply the new equation to the Neolithic transition. For this application the new equation yields speeds about 10% slower than the previous one
publishDate 2009
dc.date.none.fl_str_mv 2009
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10256/7709
http://hdl.handle.net/10256/7709
url http://hdl.handle.net/10256/7709
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.80.057103
info:eu-repo/semantics/altIdentifier/issn/1539-3755
info:eu-repo/semantics/altIdentifier/eissn/1550-2376
dc.rights.none.fl_str_mv Tots els drets reservats
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Tots els drets reservats
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv © Physical Review E, 2009, vol. 80, núm. 5, p. 057103
Articles publicats (D-F)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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