Renormalization-group study of one-dimensional systems with roughening transitions

A recently introduced real-space renormalization-group technique, developed for the analysis of processes in the Kardar-Parisi-Zhang universality dass , is generalized and tested by applying it to a different family of surface -growth processes. In particular, we consider a growth,model exhibiting a r ich phenomenology even in one dimension. It has four different phases and a directed percolation-related roughening transition. The renormalization me thod reproduces extremely well all of the phase diagram, the roughness expo nents in all the phases, and the separatrix among them. This proves the ver satility of the method and elucidates interesting physical mechanisms. [S10 63-651X(99)05410-0].