Entanglement transition of elastic lines in a strongly disordered environment

Viljo Petaja; Mikko Alava; Heiko Rieger

doi:10.1209/epl/i2003-10259-y

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Entanglement transition of elastic lines in a strongly disordered environment

Viljo Petaja·Mikko Alava·Heiko Rieger

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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.

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Viljo Petaja, Mikko Alava, Heiko Rieger. 2004-04-13. Entanglement transition of elastic lines in a strongly disordered environment. https://doi.org/10.1209/epl%2Fi2003-10259-y

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