Kinetic roughening model with opposite Kardar-Parisi-Zhang 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 solid-on-solid Kim-Kosterlitz (KK) kinetics. Both of these kinetics are in the universality class of the nonlinear Kardar-Parisi-Zhang equation, but the BD kinetics has a positive nonlinear constant while the KK kinetics has a negative one. In our model, called the BD-KK model, we assign the probabilities p and (1-p) to the KK and BD kinetics, respectively. For a specific value of p, the system behaves as a quasilinear model and the up-down 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:cond-mat/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
- E-Print:
- 10 pages