Phase transitions in a simple growth model for a driven interface in random media
We introduce a simple growth model for a driven interface in random media, exhibiting a smoothing (roughening) transition as well as a pinning-depinning transition in a nonequilibrium (1+1)-dimensional system. At both transition points, the scaling exponents belong to the directed percolation universality class. The rough interface at the pinning-depinning transition point belongs to the quenched Kardar-Parisi-Zhang universality class. The two transitions are second order phase transitions. We also introduce a modified growth model exhibiting the pinning-depinning transition. In the modified model, the pinning-depinning transition is a first order phase transition in the directed percolation universality class.
Park
K
Department of Physics, Korea University, Seoul 136-701, Korea.
Kim
Im