Separation versus diffusion in a two species system

Autores
De Masi, Anna; Ferrari, Pablo Augusto
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We consider a finite number of particles that move in ZZ as independent random walks. The particles are of two species that we call aa and bb. The rightmost aa-particle becomes a bb-particle at constant rate, while the leftmost bb-particle becomes aa-particle at the same rate, independently. We prove that in the hydrodynamic limit the evolution is described by a nonlinear system of two PDE’s with free boundaries.
Fil: De Masi, Anna. Università di L’Aquila; Italia
Fil: Ferrari, Pablo Augusto. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Materia
Free boundaries
Independent particles
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/19363
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Separation versus diffusion in a two species systemDe Masi, AnnaFerrari, Pablo AugustoFree boundariesIndependent particleshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We consider a finite number of particles that move in ZZ as independent random walks. The particles are of two species that we call aa and bb. The rightmost aa-particle becomes a bb-particle at constant rate, while the leftmost bb-particle becomes aa-particle at the same rate, independently. We prove that in the hydrodynamic limit the evolution is described by a nonlinear system of two PDE’s with free boundaries.Fil: De Masi, Anna. Università di L’Aquila; ItaliaFil: Ferrari, Pablo Augusto. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaBrazilian Statistical Association2015info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/19363De Masi, Anna; Ferrari, Pablo Augusto; Separation versus diffusion in a two species system; Brazilian Statistical Association; Brazilian Journal Of Probability And Statistics; 29; 2; -1-2015; 387-4120103-0752CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1214/14-BJPS276info:eu-repo/semantics/altIdentifier/url/http://projecteuclid.org/euclid.bjps/1429105594info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:24:12Zoai:ri.conicet.gov.ar:11336/19363instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:24:13.086CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Separation versus diffusion in a two species system
title Separation versus diffusion in a two species system
spellingShingle Separation versus diffusion in a two species system
De Masi, Anna
Free boundaries
Independent particles
title_short Separation versus diffusion in a two species system
title_full Separation versus diffusion in a two species system
title_fullStr Separation versus diffusion in a two species system
title_full_unstemmed Separation versus diffusion in a two species system
title_sort Separation versus diffusion in a two species system
dc.creator.none.fl_str_mv De Masi, Anna
Ferrari, Pablo Augusto
author De Masi, Anna
author_facet De Masi, Anna
Ferrari, Pablo Augusto
author_role author
author2 Ferrari, Pablo Augusto
author2_role author
dc.subject.none.fl_str_mv Free boundaries
Independent particles
topic Free boundaries
Independent particles
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We consider a finite number of particles that move in ZZ as independent random walks. The particles are of two species that we call aa and bb. The rightmost aa-particle becomes a bb-particle at constant rate, while the leftmost bb-particle becomes aa-particle at the same rate, independently. We prove that in the hydrodynamic limit the evolution is described by a nonlinear system of two PDE’s with free boundaries.
Fil: De Masi, Anna. Università di L’Aquila; Italia
Fil: Ferrari, Pablo Augusto. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
description We consider a finite number of particles that move in ZZ as independent random walks. The particles are of two species that we call aa and bb. The rightmost aa-particle becomes a bb-particle at constant rate, while the leftmost bb-particle becomes aa-particle at the same rate, independently. We prove that in the hydrodynamic limit the evolution is described by a nonlinear system of two PDE’s with free boundaries.
publishDate 2015
dc.date.none.fl_str_mv 2015
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/19363
De Masi, Anna; Ferrari, Pablo Augusto; Separation versus diffusion in a two species system; Brazilian Statistical Association; Brazilian Journal Of Probability And Statistics; 29; 2; -1-2015; 387-412
0103-0752
CONICET Digital
CONICET
url http://hdl.handle.net/11336/19363
identifier_str_mv De Masi, Anna; Ferrari, Pablo Augusto; Separation versus diffusion in a two species system; Brazilian Statistical Association; Brazilian Journal Of Probability And Statistics; 29; 2; -1-2015; 387-412
0103-0752
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1214/14-BJPS276
info:eu-repo/semantics/altIdentifier/url/http://projecteuclid.org/euclid.bjps/1429105594
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Brazilian Statistical Association
publisher.none.fl_str_mv Brazilian Statistical Association
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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