Mathematics – Probability
Scientific paper
2009-08-04
Braz. J. Probab. Stat., Vol. 24, Nr. 2 (2010) , p. 279--299
Mathematics
Probability
Scientific paper
10.1214/09-BJPS031
We describe some recent results concerning the statistical properties of a self-interacting polymer stretched by an external force. We concentrate mainly on the cases of purely attractive or purely repulsive self-interactions, but our results are stable under suitable small perturbations of these pure cases. We provide in particular a precise description of the stretched phase (local limit theorems for the end-point and local observables, invariance principle, microscopic structure). Our results also characterize precisely the (non-trivial, direction-dependent) critical force needed to trigger the collapsed/stretched phase transition in the attractive case. We also describe some recent progress: first, the determination of the order of the phase transition in the attractive case; second, a proof that a semi-directed polymer in quenched random environment is diffusive in dimensions 4 and higher when the temperature is high enough. In addition, we correct an incomplete argument from one of our earlier works.
Ioffe Dmitry
Velenik Yvan
No associations
LandOfFree
The Statistical Mechanics of Stretched Polymers 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 The Statistical Mechanics of Stretched Polymers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Statistical Mechanics of Stretched Polymers will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-557181