Vectorized and parallel simulations of the Kardar-Parisi-Zhang equation in 3+1 dimensions

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Published under licence by IOP Publishing Ltd
, , Citation K Moser and D E Wolf 1994 J. Phys. A: Math. Gen. 27 4049 DOI 10.1088/0305-4470/27/12/013

0305-4470/27/12/4049

Abstract

The Kardar-Parisi-Zhang (KPZ) equation describing kinetic roughening is solved numerically for (3+1)-dimensional systems in the strong-coupling phase. By massive use of supercomputing tools we calculate for the first time the exponent beta (=0.181+or-0.007) with an accuracy comparable with that of lattice growth model simulations. A possible source of errors in parallel Monte Carlo calculations is pointed out.

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10.1088/0305-4470/27/12/013