Random polymers and delocalization transitions

dc.creatorMonthus, Cecile
dc.creatorGarel, Thomas
dc.date2006-05-18
dc.date.accessioned2026-07-07T09:26:14Z
dc.date.available2026-07-07T09:26:14Z
dc.descriptionIn these proceedings, we first summarize some general properties of phase transitions in the presence of quenched disorder, with emphasis on the following points: the need to distinguish typical and averaged correlations, the possible existence of two correlation length exponents $ν$, the general bound $ν_{FS} \geq 2/d$, the lack of self-averaging of thermodynamic observables at criticality, the scaling properties of the distribution of pseudo-critical temperatures $T_c(i,L)$ over the ensemble of samples of size $L$. We then review our recent works on the critical properties of various delocalization transitions involving random polymers, namely (i) the bidimensional wetting (ii) the Poland-Scheraga model of DNA denaturation (iii) the depinning transition of the selective interface model (iv) the freezing transition of the directed polymer in a random medium.
dc.description20 pages, Conference Proceedings "Inhomogeneous Random Systems", I.H.P., Paris, France, January 2006
dc.identifierhttps://arxiv.org/abs/cond-mat/0605448
dc.identifierhttp://arxiv.org/abs/cond-mat/0605448
dc.identifierMarkov Processes and Related Fields,13, 731-760 (2007)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156678
dc.subjectDisordered Systems and Neural Networks
dc.subjectProbability
dc.titleRandom polymers and delocalization transitions
dc.typetext

Files

Collections