Fragility of the glassy state of a directed polymer in random media: a replica approach

dc.creatorSales, Marta
dc.creatorYoshino, Hajime
dc.date2001-12-20
dc.date.accessioned2026-07-07T02:43:54Z
dc.date.available2026-07-07T02:43:54Z
dc.descriptionWe study the stability of the glassy equilibrium state of a directed polymer in random media against weak perturbations including the intriguing problem of temperature-chaos. The statistical correlation of two real replica systems under perturbations, such as small difference of temperature, is studied using the mapping to a quantum problem of interacting bosons. Explicit replica symmetry breaking takes place being induced by the infinitesimally weak perturbations in the $n \to 0$ limit followed by the thermodynamic limit which leads to complete decorrelation of the two real replicas. The overlap lengths anticipated by phenomenological scaling arguments are retrieved as a correlation length associated with this explicit replica symmetry breaking.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0112384
dc.identifierhttp://arxiv.org/abs/cond-mat/0112384
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/18695
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleFragility of the glassy state of a directed polymer in random media: a replica approach
dc.typetext

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