Entanglement transition of elastic lines in a strongly disordered environment

Details Entanglement transition of elastic lines in a strongly disordered environment Entanglement transition of elastic lines in a strongly disordered environment

2003-02-25

arxiv.org/abs/cond-mat/0302509v2

Europhys. Lett. 66, 778 (2004)

Physics

Condensed Matter

Superconductivity

11 pages RevTeX, eps-figs included; one figure and some references added

Scientific paper

10.1209/epl/i2003-10259-y

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.

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