The Einstein relation for the KPZ equation

Detalhes bibliográficos
Autor(a) principal: Gonçalves, Patrícia
Data de Publicação: 2015
Outros Autores: Jara, Milton
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/31230
Resumo: We compute the non-universal constants in the KPZ equation in one dimension, in terms of the thermodynamical quantities associated to the underlying microscopic dynamics. In particular, we derive the second-order Einstein relation $\lambda = \frac{a}{2}\frac{d^2}{d\rho^2} \chi(\rho) D(\rho)$ for the transport coefficient $\lambda$ of the KPZ equation, in terms of the conserved quantity $\rho$, the diffusion coefficient $D$, the strength of the asymmetry $a$ and the static compressibility of the system $\chi$.
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spelling The Einstein relation for the KPZ equationKPZ equationGradient Kawasaki dynamicsEquilibrium fluctuationsEinstein relationCiências Naturais::MatemáticasScience & TechnologyWe compute the non-universal constants in the KPZ equation in one dimension, in terms of the thermodynamical quantities associated to the underlying microscopic dynamics. In particular, we derive the second-order Einstein relation $\lambda = \frac{a}{2}\frac{d^2}{d\rho^2} \chi(\rho) D(\rho)$ for the transport coefficient $\lambda$ of the KPZ equation, in terms of the conserved quantity $\rho$, the diffusion coefficient $D$, the strength of the asymmetry $a$ and the static compressibility of the system $\chi$.FCT, CNPq Brazil, FAPERJ BrazilSpringer VerlagUniversidade do MinhoGonçalves, PatríciaJara, Milton20152015-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/31230engGonçalves, P., & Jara, M. (2015). The Einstein Relation for the KPZ Equation. Journal of Statistical Physics, 158(6), 1262-1270. doi: 10.1007/s10955-014-1158-90022-471510.1007/s10955-014-1158-9info: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:RCAAP2023-07-21T12:08:20Zoai:repositorium.sdum.uminho.pt:1822/31230Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T18:59:33.664631Repositório 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 The Einstein relation for the KPZ equation
title The Einstein relation for the KPZ equation
spellingShingle The Einstein relation for the KPZ equation
Gonçalves, Patrícia
KPZ equation
Gradient Kawasaki dynamics
Equilibrium fluctuations
Einstein relation
Ciências Naturais::Matemáticas
Science & Technology
title_short The Einstein relation for the KPZ equation
title_full The Einstein relation for the KPZ equation
title_fullStr The Einstein relation for the KPZ equation
title_full_unstemmed The Einstein relation for the KPZ equation
title_sort The Einstein relation for the KPZ equation
author Gonçalves, Patrícia
author_facet Gonçalves, Patrícia
Jara, Milton
author_role author
author2 Jara, Milton
author2_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Gonçalves, Patrícia
Jara, Milton
dc.subject.por.fl_str_mv KPZ equation
Gradient Kawasaki dynamics
Equilibrium fluctuations
Einstein relation
Ciências Naturais::Matemáticas
Science & Technology
topic KPZ equation
Gradient Kawasaki dynamics
Equilibrium fluctuations
Einstein relation
Ciências Naturais::Matemáticas
Science & Technology
description We compute the non-universal constants in the KPZ equation in one dimension, in terms of the thermodynamical quantities associated to the underlying microscopic dynamics. In particular, we derive the second-order Einstein relation $\lambda = \frac{a}{2}\frac{d^2}{d\rho^2} \chi(\rho) D(\rho)$ for the transport coefficient $\lambda$ of the KPZ equation, in terms of the conserved quantity $\rho$, the diffusion coefficient $D$, the strength of the asymmetry $a$ and the static compressibility of the system $\chi$.
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-01-01T00:00:00Z
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/1822/31230
url http://hdl.handle.net/1822/31230
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Gonçalves, P., & Jara, M. (2015). The Einstein Relation for the KPZ Equation. Journal of Statistical Physics, 158(6), 1262-1270. doi: 10.1007/s10955-014-1158-9
0022-4715
10.1007/s10955-014-1158-9
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 Verlag
publisher.none.fl_str_mv Springer Verlag
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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