Abstract
We present numerical studies of the effect of long-range correlated noise on (i) the nonlinear Kardar, Parisi, and Zhang (KPZ) stochastic differential equation and the related problem of directed-polymer (DP) growth, and (ii) the ballistic-deposition (BD) model. The results for the KPZ and DP models are consistent with each other, and agree better with one recent theoretical prediction of Hentschel and Family [Phys. Rev. Lett. 66, 1982 (1991)] than with other theoretical predictions. Contrary to the general belief that BD is described by the KPZ equation, we find the surprising result that BD with correlated noise belongs to a different universality class than the KPZ equation.
| Original language | English |
|---|---|
| Pages (from-to) | R2239-R2242 |
| Journal | Physical Review A |
| Volume | 44 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1991 |
| Externally published | Yes |