Abstract
In this paper I discuss a generalization of the well-known Kardar-Parisi-Zhang (KPZ) equation that includes long-range interactions. This Non-local Kardar-Parisi-Zhang (NKPZ) equation has been suggested in the past to describe physical phenomena such as burning paper or deposition of colloids. I show that the steady state strong coupling solution for a subfamily of the NKPZ models can be solved exactly in one dimension, using the Fokker-Planck form of the equation, and yields a Gaussian distribution. This exact result does not agree with a previous result obtained by dynamic renormalization group (DRG) analysis. The reasons for this disagreement are not yet clear.
| Original language | English |
|---|---|
| Pages (from-to) | 79-84 |
| Number of pages | 6 |
| Journal | Physica A: Statistical Mechanics and its Applications |
| Volume | 309 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - 1 Jun 2002 |
| Externally published | Yes |
Keywords
- Exact result
- KPZ equation
- Nonlocal models
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