Entanglement transition of elastic lines in a strongly disordered environment
arXiv:cond-mat/0302509 · doi:10.1209/epl/i2003-10259-y
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.
11 pages RevTeX, eps-figs included; one figure and some references added
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Cited by in corpus (4)
- Relaxation and Glassy Dynamics in Disordered Type-II Superconductors
- Nonequilibrium steady states of driven magnetic flux lines in disordered type-II superconductors
- Elastic lines on splayed columnar defects studied numerically
- Collective roughening of elastic lines with hard core interaction in a disordered environment