Collective roughening of elastic lines with hard core interaction in a disordered environment

Details Collective roughening of elastic lines with hard core interaction in a disordered environment Collective roughening of elastic lines with hard core interaction in a disordered environment

2004-11-05

arxiv.org/abs/cond-mat/0411145v1

J. Stat. Mech. (2004) P10010

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

10.1088/1742-5468/2004/10/P10010

We investigate by exact optimization methods the roughening of two and three-dimensional systems of elastic lines with point disorder and hard-core repulsion with open boundary conditions. In 2d we find logarithmic behavior whereas in 3d simple random walk-like behavior. The line 'forests' become asymptotically completely entangled as the system height is increased at fixed line density due to increasing line wandering.

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