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

Physics – Condensed Matter – Statistical Mechanics

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8 pages, 7 figures. Accepted to PRE

Scientific paper

10.1103/PhysRevE.69.052603

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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