Catalog Home Page

Disorder-induced roughening transition of many elastic lines in a periodic potential

Knetter, T, Schröder, G, Alava, M. J and Rieger, H (2007) Disorder-induced roughening transition of many elastic lines in a periodic potential. Europhysics Letters (EPL), 55 (5). pp. 719-725.

[img]
Preview
Link to Published Version: http://dx.doi.org/10.1209/epl/i2001-00473-7
*Subscription may be required

Abstract

The competing effect of a periodic pinning potential and random point disorder is studied for arrays of elastic lines or directed polymers. The groundstates are investigated by exact combinatorial optimization. In both two and three dimensions a phase diagram is found with two or three distinct phases: a strictly flat phase if the disorder is bounded and weak, a weakly fluctuating phase for intermediate valleys depths, where the lines roughen individually on a scale smaller than the line-line distance, and a rough phase for strong disorder, where the roughness follows the scaling with pure point disorder. The line wandering in the transverse direction leads in the three-dimensional, rough phase to an entangled state with a complicated topology.

Publication Type: Journal Article
Publisher: European Physical Society
URI: http://researchrepository.murdoch.edu.au/id/eprint/30677
Item Control Page Item Control Page

Downloads

Downloads per month over past year