The role of pinning and instability in a class of non-equilibrium growth models |
| |
Authors: | AK Chattopadhyay |
| |
Institution: | Max Planck Institute for the Physics of Complex Systems, N?thnitzer Strasse 38, 01187 Dresden, Germany, DE
|
| |
Abstract: | We study the dynamics of a growing crystalline facet where the growth mechanism is controlled by the geometry of the local
curvature. A continuum model, in (2+1) dimensions, is developed in analogy with the Kardar-Parisi-Zhang (KPZ) model is considered
for the purpose. Following standard coarse graining procedures, it is shown that in the large time, long distance limit, the
continuum model predicts a curvature independent KPZ phase, thereby suppressing all explicit effects of curvature and local
pinning in the system, in the “perturbative” limit. A direct numerical integration of this growth equation, in 1+1 dimensions,
supports this observation below a critical parametric range, above which generic instabilities, in the form of isolated pillared
structures lead to deviations from standard scaling behaviour. Possibilities of controlling this instability by introducing
statistically “irrelevant" (in the sense of renormalisation groups) higher ordered nonlinearities have also been discussed.
Received 23 April 2002 / Received in final form 24 July 2002 Published online 31 October 2002
RID="a"
ID="a"e-mail: akc@mpipks-dresden.mpg.de |
| |
Keywords: | PACS 05 40 -a Fluctuation phenomena random processes noise and Brownian motion – 64 60 Ht Dynamic critical phenomena – 05 70 Ln Nonequilibrium and irreversible thermodynamics |
本文献已被 SpringerLink 等数据库收录! |
|