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dc.contributor.authorHuveneers, François*
dc.contributor.authorDe Roeck, Wojciech*
dc.contributor.authorDhar, Abhishek*
dc.contributor.authorSchütz, M.*
dc.date.accessioned2017-11-29T13:33:18Z
dc.date.available2017-11-29T13:33:18Z
dc.date.issued2017
dc.identifier.issn0022-4715
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/17102
dc.language.isoenen
dc.subjectNonequilibrium
dc.subjectTransport
dc.subjectLocalization
dc.subject.ddc520en
dc.titleStep Density Profiles in Localized Chains
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe consider two types of strongly disordered one-dimensional Hamiltonian systems coupled to baths (energy or particle reservoirs) at the boundaries: strongly disordered quantum spin chains and disordered classical harmonic oscillators. These systems are believed to exhibit localization, implying in particular that the conductivity decays exponentially in the chain length L. We ask however for the profile of the (very slowly) transported quantity in the steady state. We find that this profile is a step-function, jumping in the middle of the chain from the value set by the left bath to the value set by the right bath. This is confirmed by numerics on a disordered quantum spin chain of 9 spins and on much longer chains of harmonic oscillators. From theoretical arguments, we find that the width of the step grows not faster than L−−√, and we confirm this numerically for harmonic oscillators. In this case, we also observe a drastic breakdown of local equilibrium at the step, resulting in a heavily oscillating temperature profile.
dc.relation.isversionofjnlnameJournal of Statistical Physics
dc.relation.isversionofjnlvol167
dc.relation.isversionofjnlissue5
dc.relation.isversionofjnldate2017
dc.relation.isversionofjnlpages1143–1163
dc.relation.isversionofdoi10.1007/s10955-017-1769-z
dc.relation.isversionofjnlpublisherKluwer Academic Publishers etc.
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen
dc.description.ssrncandidatenon
dc.description.halcandidatenon
dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2017-12-15T15:18:41Z
hal.person.labIds*
hal.person.labIds35442*
hal.person.labIds60*
hal.person.labIds35442*


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