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.
arXiv comment11 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