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.
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Beccaria et al. (1994) studied this question.
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