Abstract
The validity of the belief that the Ballistic deposition (BD) belongs to the Kardar-Parisi-Zhang (KPZ) universality classis studied by deriving a continuum equation from the BD microscopic rules, which deviates from the KPZ equation. It is shown that the deviation is not important in one dimension and in the presence of the noise. It is observed that in more than one dimension and in the presence of noise an equation that seems to be a continuum equation but in which the symmetry under rotations arond the growth is broken is obtained. It is also observed that mainly due to the form of continuum equation in dimensions higher than 1, the burden of proof shifts and heavy simulations are needed.
| Original language | English |
|---|---|
| Article number | 061608 |
| Pages (from-to) | 061608-1-061608-8 |
| Journal | Physical Review E |
| Volume | 70 |
| Issue number | 6 1 |
| DOIs | |
| State | Published - Dec 2004 |
| Externally published | Yes |