Disorder-Induced Depinning Transition
Condensed Matter
2009-10-22 v1
Abstract
The competition in the pinning of a directed polymer by a columnar pin and a background of random point impurities is investigated systematically using the renormalization group method. With the aid of the mapping to the noisy-Burgers' equation and the use of the mode-coupling method, the directed polymer is shown to be marginally localized to an arbitrary weak columnar pin in 1+1 dimensions. This weak localization effect is attributed to the existence of large scale, nearly degenerate optimal paths of the randomly pinned directed polymer. The critical behavior of the depinning transition above 1+1 dimensions is obtained via an -expansion.
Cite
@article{arxiv.cond-mat/9404031,
title = {Disorder-Induced Depinning Transition},
author = {Terence Hwa and Thomas Nattermann},
journal= {arXiv preprint arXiv:cond-mat/9404031},
year = {2009}
}
Comments
47 pages in revtex; postscript files of 6 figures included