Numerical simulation of the Kardar-Parisi-Zhang equation
- 1 December 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 50 (6) , 4560-4563
- https://doi.org/10.1103/physreve.50.4560
Abstract
We simulate the Kardar-Parisi-Zhang equation [Phys. Rev. Lett. 56, 889 (1986)] in 2+1 dimensions. It is a nonlinear stochastic differential equation that describes driven growing interfaces. The Hopf-Cole transformation is used in order to obtain a stable numerical scheme. The two relevant critical exponents are precisely measured.Keywords
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