Collective roughening of elastic lines with hard core interaction in a disordered environment
Disordered Systems and Neural Networks
2009-11-10 v1 Superconductivity
Abstract
We investigate by exact optimization methods the roughening of two and three-dimensional systems of elastic lines with point disorder and hard-core repulsion with open boundary conditions. In 2d we find logarithmic behavior whereas in 3d simple random walk-like behavior. The line 'forests' become asymptotically completely entangled as the system height is increased at fixed line density due to increasing line wandering.
Cite
@article{arxiv.cond-mat/0411145,
title = {Collective roughening of elastic lines with hard core interaction in a disordered environment},
author = {Viljo Petäjä and Mikko Alava and Deok-Sun Lee and Heiko Rieger},
journal= {arXiv preprint arXiv:cond-mat/0411145},
year = {2009}
}