3/4-fractional superdiffusion in a system of harmonic oscillators perturbed by a conservative noise

Detalhes bibliográficos
Autor(a) principal: Bernardin, Cédric
Data de Publicação: 2016
Outros Autores: Gonçalves, Patrícia, 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/1822/35191
Resumo: "In press"
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spelling 3/4-fractional superdiffusion in a system of harmonic oscillators perturbed by a conservative noiseFractional diffusionFractional laplacianCiências Naturais::MatemáticasScience & Technology"In press"We consider a harmonic chain perturbed by an energy conserving noise and show that after a space-time rescaling the energy-energy correlation function is given by the solution of a skew-fractional heat equation with exponent $3/4$.The authors thank S. Olla and H. Spohn for their interest in this work and highly useful discussions. C.B. acknowledges the support of the French Ministry of Education through the grant ANR EDNHS. P.G. thanks CNPq (Brazil) for support through the research project Additive functionals of particle systems, Universal n. 480431/2013-2, FAPERJ-JCNE Jovem Cientista do Nosso Estado for the grant E-25/203.407/2014 and the Research Centre of Mathematics of the University of Minho, for the financial support provided by FEDER through the Programa Operacional Factores de Competitividade COMPETE and by FCT through the research project PEst-OE/MAT/UI0013/2014. M.J. thanks CNPq for its support through the grant 401628/2012-4 and FAPERJ for its support through the grant JCNE E17/2012. C.B. and P.G. are grateful to Egide and FCT for support through the research project FCT/1560/25/1/2012/S. C.B. and M.J. are grateful to the "Brazilian-French Network in Mathematics".Springer VerlagUniversidade do MinhoBernardin, CédricGonçalves, PatríciaJara, Milton20162016-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/35191eng0003-952710.1007/s00205-015-0936-0info: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:RCAAP2023-07-21T11:55:00Zoai:repositorium.sdum.uminho.pt:1822/35191Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T18:44:29.612514Repositório 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 3/4-fractional superdiffusion in a system of harmonic oscillators perturbed by a conservative noise
title 3/4-fractional superdiffusion in a system of harmonic oscillators perturbed by a conservative noise
spellingShingle 3/4-fractional superdiffusion in a system of harmonic oscillators perturbed by a conservative noise
Bernardin, Cédric
Fractional diffusion
Fractional laplacian
Ciências Naturais::Matemáticas
Science & Technology
title_short 3/4-fractional superdiffusion in a system of harmonic oscillators perturbed by a conservative noise
title_full 3/4-fractional superdiffusion in a system of harmonic oscillators perturbed by a conservative noise
title_fullStr 3/4-fractional superdiffusion in a system of harmonic oscillators perturbed by a conservative noise
title_full_unstemmed 3/4-fractional superdiffusion in a system of harmonic oscillators perturbed by a conservative noise
title_sort 3/4-fractional superdiffusion in a system of harmonic oscillators perturbed by a conservative noise
author Bernardin, Cédric
author_facet Bernardin, Cédric
Gonçalves, Patrícia
Jara, Milton
author_role author
author2 Gonçalves, Patrícia
Jara, Milton
author2_role author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Bernardin, Cédric
Gonçalves, Patrícia
Jara, Milton
dc.subject.por.fl_str_mv Fractional diffusion
Fractional laplacian
Ciências Naturais::Matemáticas
Science & Technology
topic Fractional diffusion
Fractional laplacian
Ciências Naturais::Matemáticas
Science & Technology
description "In press"
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-01-01T00:00:00Z
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/1822/35191
url http://hdl.handle.net/1822/35191
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0003-9527
10.1007/s00205-015-0936-0
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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