Entanglement transition of elastic lines in a strongly disordered environment
Superconductivity
2009-11-10 v2 Disordered Systems and Neural Networks
Statistical Mechanics
Abstract
We investigate by exact optimization the geometrical properties of three-dimensional elastic line systems with point disorder and hard-core repulsion. The line 'forests' become entangled due to increasing line wandering as the system height is increased, at fixed line density. There is a transition height at which a cluster of pairwise entangled lines spans the system, transverse to average line orientation. Numerical evidence implies that the phenomenon is in the ordinary percolation universality class.
Keywords
Cite
@article{arxiv.cond-mat/0302509,
title = {Entanglement transition of elastic lines in a strongly disordered environment},
author = {Viljo Petaja and Mikko Alava and Heiko Rieger},
journal= {arXiv preprint arXiv:cond-mat/0302509},
year = {2009}
}
Comments
11 pages RevTeX, eps-figs included; one figure and some references added