Smoothening of Depinning Transitions for Directed Polymers with Quenched Disorder

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dc.creatorGiacomin, G.
dc.creatorToninelli, F. L.
dc.date2005-10-18
dc.date2006-01-25
dc.date.accessioned2026-07-07T06:44:31Z
dc.date.available2026-07-07T06:44:31Z
dc.descriptionWe consider disordered models of pinning of directed polymers on a defect line, including (1+1)-dimensional interface wetting models, disordered Poland--Scheraga models of DNA denaturation and other (1+d)-dimensional polymers in interaction with columnar defects. We consider also random copolymers at a selective interface. These models are known to have a (de)pinning transition at some critical line in the phase diagram. In this work we prove that, as soon as disorder is present, the transition is at least of second order: the free energy is differentiable at the critical line, and the order parameter (contact fraction) vanishes continuously at the transition. On the other hand, it is known that the corresponding non-disordered models can have a first order (de)pinning transition, with a jump in the order parameter. Our results confirm predictions based on the Harris criterion.
dc.description4 pages, 1 figure. Version 2: references added, minor changes made. To appear on Phys. Rev. Lett
dc.identifierhttps://arxiv.org/abs/cond-mat/0510472
dc.identifierhttp://arxiv.org/abs/cond-mat/0510472
dc.identifierPhys. Rev. Lett. 96, 070602 (2006)
dc.identifierdoi:10.1103/PhysRevLett.96.070602
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102800
dc.subjectDisordered Systems and Neural Networks
dc.subjectMathematical Physics
dc.titleSmoothening of Depinning Transitions for Directed Polymers with Quenched Disorder
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