Numerical simulation of the Kardar-Parisi-Zhang equation
Matteo Beccaria, Giuseppe Curci
TL;DR
This paper presents a numerical simulation of the 2+1 dimensional Kardar-Parisi-Zhang equation, employing the Hopf-Cole transformation for stability, and accurately measures its critical exponents.
Contribution
It introduces a stable numerical scheme for simulating the KPZ equation in higher dimensions and provides precise measurements of its critical exponents.
Findings
Successful implementation of a stable numerical scheme
Precise measurement of critical exponents in 2+1 dimensions
Validation of theoretical predictions for KPZ behavior
Abstract
We simulate the Kardar-Parisi-Zhang equation in 2+1 dimensions. The Hopf-Cole transformation is used in order to obtain a stable numerical scheme. The two relevant critical exponents are precisely measured. (2 PostScript figures available from the authors)
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