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

Viljo Petäjä·Mikko Alava·Deok-Sun Lee·Heiko Rieger
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Abstract

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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Viljo Petäjä, Mikko Alava, Deok-Sun Lee, Heiko Rieger. 2004-11-05. Collective roughening of elastic lines with hard core interaction in a disordered environment. https://doi.org/10.1088/1742-5468%2F2004%2F10%2Fp10010

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