Energy landscapes in random systems, driven interfaces and wetting

Details Energy landscapes in random systems, driven interfaces and wetting Energy landscapes in random systems, driven interfaces and wetting

2000-03-06

arxiv.org/abs/cond-mat/0003067v1

Phys. Rev. Lett. 84, 3982 (2000)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Accepted for publication in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.84.3982

We discuss the zero-temperature susceptibility of elastic manifolds with quenched randomness. It diverges with system size due to low-lying local minima. The distribution of energy gaps is deduced to be constant in the limit of vanishing gaps by comparing numerics with a probabilistic argument. The typical manifold response arises from a level-crossing phenomenon and implies that wetting in random systems begins with a discrete transition. The associated ``jump field'' scales as $ \sim L^{-5/3}$ and $L^{-2.2}$ for (1+1) and (2+1) dimensional manifolds with random bond disorder.

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