Equilibrium fluctuations for the totally asymmetric zero-range process

Detalhes bibliográficos
Autor(a) principal: Gonçalves, Patrícia
Data de Publicação: 2010
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/11586
Resumo: We consider the one-dimensional Totally Asymmetric Zero-Range process evolving on $\mathbb{Z}$ and starting from the Geometric product measure $\mu_\rho$. On the hyperbolic time scale the temporal evolution of the density fluctuation field is deterministic, in the sense that the limit field at time $t$ is a translation of the initial one. We consider the system in a reference frame moving at this velocity and we show that the limit density fluctuation field does not evolve in time until $N^{4/3}$, which implies the current across a characteristic to vanish on this longer time scale.
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spelling Equilibrium fluctuations for the totally asymmetric zero-range processTotally asymmetric zero-rangefluctuationsEquilibrium FluctuationsBoltzmann-Gibbs PrincipleMulti-scale argumentScience & TechnologyWe consider the one-dimensional Totally Asymmetric Zero-Range process evolving on $\mathbb{Z}$ and starting from the Geometric product measure $\mu_\rho$. On the hyperbolic time scale the temporal evolution of the density fluctuation field is deterministic, in the sense that the limit field at time $t$ is a translation of the initial one. We consider the system in a reference frame moving at this velocity and we show that the limit density fluctuation field does not evolve in time until $N^{4/3}$, which implies the current across a characteristic to vanish on this longer time scale.The author wants to express her gratitude to "Fundacao para a Ciencia e Tecnologia" for the grant /SFRH/BPD/39991/2007, to CMAT from University of Minho for support and to "Fundacao Calouste Gulbenkian" for the Prize: "Estimulo a investigacao" of the research project "Hydrodynamic limit of particle systems".SpringerUniversidade do MinhoGonçalves, Patrícia20102010-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/11586eng"Journal of Statistical Physics". ISSN 0022-4715. 138:3-4 (2010) 645-661.0022-471510.1007/s10955-009-9888-9http://dx.doi.org/10.1007/s10955-009-9888-9info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-21T12:35:53Zoai:repositorium.sdum.uminho.pt:1822/11586Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:31:49.822231Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Equilibrium fluctuations for the totally asymmetric zero-range process
title Equilibrium fluctuations for the totally asymmetric zero-range process
spellingShingle Equilibrium fluctuations for the totally asymmetric zero-range process
Gonçalves, Patrícia
Totally asymmetric zero-range
fluctuations
Equilibrium Fluctuations
Boltzmann-Gibbs Principle
Multi-scale argument
Science & Technology
title_short Equilibrium fluctuations for the totally asymmetric zero-range process
title_full Equilibrium fluctuations for the totally asymmetric zero-range process
title_fullStr Equilibrium fluctuations for the totally asymmetric zero-range process
title_full_unstemmed Equilibrium fluctuations for the totally asymmetric zero-range process
title_sort Equilibrium fluctuations for the totally asymmetric zero-range process
author Gonçalves, Patrícia
author_facet Gonçalves, Patrícia
author_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Gonçalves, Patrícia
dc.subject.por.fl_str_mv Totally asymmetric zero-range
fluctuations
Equilibrium Fluctuations
Boltzmann-Gibbs Principle
Multi-scale argument
Science & Technology
topic Totally asymmetric zero-range
fluctuations
Equilibrium Fluctuations
Boltzmann-Gibbs Principle
Multi-scale argument
Science & Technology
description We consider the one-dimensional Totally Asymmetric Zero-Range process evolving on $\mathbb{Z}$ and starting from the Geometric product measure $\mu_\rho$. On the hyperbolic time scale the temporal evolution of the density fluctuation field is deterministic, in the sense that the limit field at time $t$ is a translation of the initial one. We consider the system in a reference frame moving at this velocity and we show that the limit density fluctuation field does not evolve in time until $N^{4/3}$, which implies the current across a characteristic to vanish on this longer time scale.
publishDate 2010
dc.date.none.fl_str_mv 2010
2010-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1822/11586
url http://hdl.handle.net/1822/11586
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv "Journal of Statistical Physics". ISSN 0022-4715. 138:3-4 (2010) 645-661.
0022-4715
10.1007/s10955-009-9888-9
http://dx.doi.org/10.1007/s10955-009-9888-9
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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