Energy landscapes in random systems, driven interfaces, and wetting

E. Seppälä,M. Alava

Published 2000 in Physical Review Letters

ABSTRACT

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 approximately L-5/3 and L-2.2 for (1+1) and (2+1) dimensional manifolds with random bond disorder.

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