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DY: Dynamik und Statistische Physik

DY 40: Critical Phenomena and Phase Transitions I

DY 40.1: Invited Talk

Thursday, March 30, 2006, 09:30–10:00, H\"UL 186

Random polymers and depinning transitions — •Cecile Monthus and Thomas Garel — SPhT Saclay, France

According to recent progresses in the finite size scaling theory of disordered systems, thermodynamic observables are not self-averaging at critical points whenever disorder is relevant. This lack of self-averageness at criticality is directly related to the scaling properties of the probability distribution of pseudo-critical temperatures Tc(i,L) over the ensemble of samples i of size L. This framework is very useful to characterize various depinning transitions involving random polymers:

(i) wetting transition in dimension 1+1,

(ii) Poland-Scheraga model of DNA denaturation

(iii) the selective interface model.

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