Wetting of Rough Walls

Quenched geometric disorder of a wall delimiting a spectator phase can have dramatic effects on the nature of critical wetting transitions. We consider selfaffine walls in 2D with roughness exponent £w. Transfer matrix results for directed iInterfacial models with short-range iInteractions suggest that wetting turns firstorder as soon as L,W exceeds £0, the anisotropy index of iInterface fluctuations in the bulk. Discontinuous iInterface depinning is best identified by a peculiar twopeak structure in the statistical distributions of wall-iInterface contacts obtained by sampling over disorder. On the other hand, for Cwr