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 and for and dimensional manifolds with random bond disorder.
- Received 11 August 1999
- Published in the issue dated 24 April 2000
© 2000 The American Physical Society