Abstract
A time-dependent self-consistent approach was developed to deal with the Kardar-Parisi-Zhang (KPZ) equation driven by a temporally correlated noise. It was found that when temporally correlated noise is present in the system, then slow relaxations of various time-dependent quantities should control the long-time behavior. It was also found that the KPZ equation has both a strong-coupling and a weak-coupling solution. The results indicate towards the advantage in using the self-consistent approach as it can be generalized in a simple way to discuss noise with arbitrary spatiotemporal correlations.
| Original language | English |
|---|---|
| Article number | 011601 |
| Pages (from-to) | 011601-1-011601-12 |
| Journal | Physical Review E |
| Volume | 70 |
| Issue number | 1 1 |
| DOIs | |
| State | Published - Jul 2004 |
| Externally published | Yes |