Force--induced depinning of directed polymers

Details Force--induced depinning of directed polymers Force--induced depinning of directed polymers

2006-10-24

arxiv.org/abs/cond-mat/0610663v1

J. Phys. A: Math. Theor. 40 (2007) 5261-5275

Physics

Condensed Matter

Disordered Systems and Neural Networks

15 pages, 2 figures

Scientific paper

10.1088/1751-8113/40/20/003

We present an approach to studying directed polymers in interaction with a defect line and subject to a force, which pulls them away from the line. We consider in particular the case of inhomogeneous interactions. We first give a formula relating the free energy of these models to the free energy of the corresponding ones in which the force is switched off. We then show how to detect the presence of a re-entrant transition without fully solving the model. We discuss some models in detail and show that inhomogeneous interaction, e.g. disordered interactions, may induce the re-entrance phenomenon.

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