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Numerical Evidence for Stretched Exponential Relaxations in the Kardar-Parisi-Zhang Equation

Eytan Katzav·Moshe Schwartz
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Abstract

We present results from extensive numerical integration of the KPZ equation in $1 + 1$ dimensions aimed to check the long-time behavior of the dynamical structure factor of that system. Over a number of decades in the size of the structure factor we confirm scaling and stretched exponential decay. We also give an analytic expression that yields a very good approximation to the numerical data.

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Eytan Katzav, Moshe Schwartz. 2004-03-03. Numerical Evidence for Stretched Exponential Relaxations in the Kardar-Parisi-Zhang Equation. https://doi.org/10.1103/physreve.69.052603

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