The diffusion coefficient of propagating fronts with multiplicative noise

Recent studies have shown that in the presence of noise, both fronts propagating into a metastable state and so-called pushed fronts propagating into an unstable state, exhibit diffusive wandering about the average position. In this paper, we derive an expression for the effective diffusion coeffici...

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Detalles Bibliográficos
Autores: Rocco, Andrea, Casademunt i Viader, Jaume, Ebert, Ute, Saarlos, Wim van
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2002
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:2445/18740
Acceso en línea:https://hdl.handle.net/2445/18740
Access Level:acceso abierto
Palabra clave:Física estadística
Termodinàmica
Sistemes dinàmics diferenciables
Dinàmica de fluids
Statistical physics
Thermodynamics
Differentiable dynamical systems
Fluid dynamics
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spelling The diffusion coefficient of propagating fronts with multiplicative noiseRocco, AndreaCasademunt i Viader, JaumeEbert, UteSaarlos, Wim vanFísica estadísticaTermodinàmicaSistemes dinàmics diferenciablesDinàmica de fluidsStatistical physicsThermodynamicsDifferentiable dynamical systemsFluid dynamicsRecent studies have shown that in the presence of noise, both fronts propagating into a metastable state and so-called pushed fronts propagating into an unstable state, exhibit diffusive wandering about the average position. In this paper, we derive an expression for the effective diffusion coefficient of such fronts, which was motivated before on the basis of a multiple scale ansatz. Our systematic derivation is based on the decomposition of the fluctuating front into a suitably positioned average profile plus fluctuating eigenmodes of the stability operator. While the fluctuations of the front position in this particular decomposition are a Wiener process on all time scales, the fluctuations about the time-averaged front profile relax exponentially.The American Physical Society201120112002info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion4 p.application/pdfhttps://hdl.handle.net/2445/18740Articles publicats en revistes (Física Quàntica i Astrofísica)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésReproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.65.012102Physical Review E, 2002, vol. 65, núm. 1, p. 012102http://dx.doi.org/10.1103/PhysRevE.65.012102(c) The American Physical Society, 2002info:eu-repo/semantics/openAccessoai:recercat.cat:2445/187402026-05-29T05:05:01Z
dc.title.none.fl_str_mv The diffusion coefficient of propagating fronts with multiplicative noise
title The diffusion coefficient of propagating fronts with multiplicative noise
spellingShingle The diffusion coefficient of propagating fronts with multiplicative noise
Rocco, Andrea
Física estadística
Termodinàmica
Sistemes dinàmics diferenciables
Dinàmica de fluids
Statistical physics
Thermodynamics
Differentiable dynamical systems
Fluid dynamics
title_short The diffusion coefficient of propagating fronts with multiplicative noise
title_full The diffusion coefficient of propagating fronts with multiplicative noise
title_fullStr The diffusion coefficient of propagating fronts with multiplicative noise
title_full_unstemmed The diffusion coefficient of propagating fronts with multiplicative noise
title_sort The diffusion coefficient of propagating fronts with multiplicative noise
dc.creator.none.fl_str_mv Rocco, Andrea
Casademunt i Viader, Jaume
Ebert, Ute
Saarlos, Wim van
author Rocco, Andrea
author_facet Rocco, Andrea
Casademunt i Viader, Jaume
Ebert, Ute
Saarlos, Wim van
author_role author
author2 Casademunt i Viader, Jaume
Ebert, Ute
Saarlos, Wim van
author2_role author
author
author
dc.subject.none.fl_str_mv Física estadística
Termodinàmica
Sistemes dinàmics diferenciables
Dinàmica de fluids
Statistical physics
Thermodynamics
Differentiable dynamical systems
Fluid dynamics
topic Física estadística
Termodinàmica
Sistemes dinàmics diferenciables
Dinàmica de fluids
Statistical physics
Thermodynamics
Differentiable dynamical systems
Fluid dynamics
description Recent studies have shown that in the presence of noise, both fronts propagating into a metastable state and so-called pushed fronts propagating into an unstable state, exhibit diffusive wandering about the average position. In this paper, we derive an expression for the effective diffusion coefficient of such fronts, which was motivated before on the basis of a multiple scale ansatz. Our systematic derivation is based on the decomposition of the fluctuating front into a suitably positioned average profile plus fluctuating eigenmodes of the stability operator. While the fluctuations of the front position in this particular decomposition are a Wiener process on all time scales, the fluctuations about the time-averaged front profile relax exponentially.
publishDate 2002
dc.date.none.fl_str_mv 2002
2011
2011
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 https://hdl.handle.net/2445/18740
url https://hdl.handle.net/2445/18740
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.65.012102
Physical Review E, 2002, vol. 65, núm. 1, p. 012102
http://dx.doi.org/10.1103/PhysRevE.65.012102
dc.rights.none.fl_str_mv (c) The American Physical Society, 2002
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) The American Physical Society, 2002
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 4 p.
application/pdf
dc.publisher.none.fl_str_mv The American Physical Society
publisher.none.fl_str_mv The American Physical Society
dc.source.none.fl_str_mv Articles publicats en revistes (Física Quàntica i Astrofísica)
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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