Kinetic roughening model with opposite KardarParisiZhang nonlinearities
Abstract
We introduce a model that simulates a kinetic roughening process with two kinds of particle: one follows ballistic deposition (BD) kinetics and the other restricted solidonsolid KimKosterlitz (KK) kinetics. Both of these kinetics are in the universality class of the nonlinear KardarParisiZhang equation, but the BD kinetics has a positive nonlinear constant while the KK kinetics has a negative one. In our model, called the BDKK model, we assign the probabilities p and (1p) to the KK and BD kinetics, respectively. For a specific value of p, the system behaves as a quasilinear model and the updown symmetry is restored. We show that nonlinearities of odd order are relevant in this low nonlinear limit.
 Publication:

Physical Review E
 Pub Date:
 April 2001
 DOI:
 10.1103/PhysRevE.63.041601
 arXiv:
 arXiv:condmat/0012095
 Bibcode:
 2001PhRvE..63d1601D
 Keywords:

 68.35.Fx;
 05.70.Ln;
 81.10.Aj;
 Diffusion;
 interface formation;
 Nonequilibrium and irreversible thermodynamics;
 Theory and models of crystal growth;
 physics of crystal growth crystal morphology and orientation;
 Condensed Matter  Statistical Mechanics
 EPrint:
 10 pages