Journal article
Disorder-induced roughening transition of many elastic lines in a periodic potential
Europhysics Letters (EPL), Vol.55(5), pp.719-725
2007
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.
Details
- Title
- Disorder-induced roughening transition of many elastic lines in a periodic potential
- Authors/Creators
- T Knetter (Author/Creator)G Schröder (Author/Creator)M. J Alava (Author/Creator)H Rieger (Author/Creator)
- Publication Details
- Europhysics Letters (EPL), Vol.55(5), pp.719-725
- Publisher
- European Physical Society
- Identifiers
- 991005545274007891
- Murdoch Affiliation
- Murdoch University
- Language
- English
- Resource Type
- Journal article
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- Collaboration types
- Domestic collaboration
- International collaboration
- Citation topics
- 5 Physics
- 5.214 Statistical Mechanics
- 5.214.1381 Surface Diffusion
- Web Of Science research areas
- Physics, Multidisciplinary
- ESI research areas
- Physics