Random walks and polymers in the presence of quenched disorder

Details Random walks and polymers in the presence of quenched disorder Random walks and polymers in the presence of quenched disorder

2006-01-16

arxiv.org/abs/cond-mat/0601332v1

Lett. Math. Phys. 78, 207-233 (2006)

Physics

Condensed Matter

Disordered Systems and Neural Networks

17 pages, Conference Proceedings "Mathematics and Physics", I.H.E.S., France, November 2005

Scientific paper

10.1007/s11005-006-0122-2

After a general introduction to the field, we describe some recent results concerning disorder effects on both `random walk models', where the random walk is a dynamical process generated by local transition rules, and on `polymer models', where each random walk trajectory representing the configuration of a polymer chain is associated to a global Boltzmann weight. For random walk models, we explain, on the specific examples of the Sinai model and of the trap model, how disorder induces anomalous diffusion, aging behaviours and Golosov localization, and how these properties can be understood via a strong disorder renormalization approach. For polymer models, we discuss the critical properties of various delocalization transitions involving random polymers. We first summarize some recent progresses in the general theory of random critical points : thermodynamic observables are not self-averaging at criticality whenever disorder is relevant, and this lack of self-averaging is directly related to the probability distribution of pseudo-critical temperatures $T_c(i,L)$ over the ensemble of samples $(i)$ of size $L$. We describe the results of this analysis for the bidimensional wetting and for the Poland-Scheraga model of DNA denaturation.

Affiliated with

Also associated with

No associations

Rating

Random walks and polymers in the presence of quenched disorder does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Random walks and polymers in the presence of quenched disorder, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Random walks and polymers in the presence of quenched disorder will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-523946