Energy Landscapes in Random Systems, Driven Interfaces, and Wetting

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 ⟨h⟩∼L−5/3 and L−2.2 for (1+1) and (2+1) dimensional manifolds with random bond disorder.