Directed-polymer and ballistic-deposition growth with correlated noise
- 1 August 1991
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 44 (4), R2239-R2242
- https://doi.org/10.1103/physreva.44.r2239
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.Keywords
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