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dc.contributor.authorJara, Milton
dc.contributor.authorKomorowski, Tomasz
dc.contributor.authorOlla, Stefano
HAL ID: 18345
ORCID: 0000-0003-0845-1861
dc.date.accessioned2014-02-27T08:47:13Z
dc.date.available2014-02-27T08:47:13Z
dc.date.issued2015
dc.identifier.issn0010-3616
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/12768
dc.language.isoenen
dc.subjectThermal conductivity
dc.subjectfractionnal diffusion
dc.subjectharmonic oscillators
dc.subject.ddc520en
dc.titleSuperdiffusion of Energy in a Chain of Harmonic Oscillators with Noise
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherInstitute of Mathematics, Polish Acade my Of Science;
dc.contributor.editoruniversityotherMPA;Brésil
dc.description.abstractenWe consider a one dimensional infinite chain of harmonic oscillators whose dynamics is perturbed by a stochastic term conserving energy and momentum. We prove that in the unpinned case the macroscopic evolution of the energy converges to the solution of the fractional diffusion equation ∂tu=−|Δ|3/4u. For a pinned system we prove that its energy evolves diffusively, generalizing some results of Basile and Olla (J. Stat. Phys. 155(6):1126–1142, 2014).
dc.publisher.cityParisen
dc.relation.isversionofjnlnameCommunications in Mathematical Physics
dc.relation.isversionofjnlvol339
dc.relation.isversionofjnlissue2
dc.relation.isversionofjnldate2015
dc.relation.isversionofjnlpages407-453
dc.relation.isversionofdoi10.1007/s00220-015-2417-6
dc.identifier.urlsitehttps://arxiv.org/abs/1402.2988v3
dc.relation.isversionofjnlpublisherSpringer
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.description.submittednonen
dc.description.ssrncandidatenon
dc.description.halcandidateoui
dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2017-09-11T15:05:38Z


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