Renormalization group study of one-dimensional systems with roughening transitions

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

1999-02-17

arxiv.org/abs/cond-mat/9902239v1

Physics

Condensed Matter

Submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.60.3719

A recently introduced real space renormalization group technique, developed for the analysis of processes in the Kardar-Parisi-Zhang universality class, is generalized and tested by applying it to a different family of surface growth processes. In particular, we consider a growth model exhibiting a rich phenomenology even in one dimension. It has four different phases and a directed percolation related roughening transition. The renormalization method reproduces extremely well all the phase diagram, the roughness exponents in all the phases and the separatrix among them. This proves the versatility of the method and elucidates interesting physical mechanisms.

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