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dc.contributor.authorToninelli, Fabio Lucio
HAL ID: 17419
ORCID: 0000-0003-1710-8811
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dc.contributor.authorSimenhaus, François*
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dc.contributor.authorMartinelli, Fabio*
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dc.contributor.authorLacoin, Hubert*
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dc.contributor.authorCaputo, Pietro*
dc.date.accessioned2011-10-12T13:51:18Z
dc.date.available2011-10-12T13:51:18Z
dc.date.issued2012
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/7189
dc.language.isoenen
dc.subjectQuasi-stationary distributionen
dc.subjectCouplingen
dc.subjectMixing timeen
dc.subjectSpectral gapen
dc.subjectMetastabilityen
dc.subjectPolymer pinning modelen
dc.subjectReversible Markov chainsen
dc.subject.ddc519en
dc.titlePolymer dynamics in the depinned phase: metastability with logarithmic barriersen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe consider the stochastic evolution of a (1 + 1)-dimensional polymer in the depinned regime. At equilibrium the system exhibits a double well structure: the polymer lies (essentially) either above or below the repulsive line. As a consequence, one expects a metastable behavior with rare jumps between the two phases combined with a fast thermalization inside each phase. However, the energy barrier between these two phases is only logarithmic in the system size L and therefore the two relevant time scales are only polynomial in L with no clear-cut separation between them. The whole evolution is governed by a subtle competition between the diffusive behavior inside one phase and the jumps across the energy barriers. Our main results are: (i) a proof that the mixing time of the system lies between L25 and L25+2 ; (ii) the identification of two regions associated with the positive and negative phase of the polymer together with the proof of the asymptotic exponentiality of the tunneling time between them with rate equal to a half of the spectral gap.en
dc.relation.isversionofjnlnameProbability Theory and Related Fields
dc.relation.isversionofjnlvol153
dc.relation.isversionofjnlissue3-4
dc.relation.isversionofjnldate2012
dc.relation.isversionofjnlpages587-641
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s00440-011-0355-6en
dc.identifier.urlsitehttp://arxiv.org/abs/1007.4470v1en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
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