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

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.

8 pages, 7 figures. Accepted to PRE

References in corpus (3)

• Exact scaling functions for one-dimensional stationary KPZ growth
• Numerical Solution of the Mode-Coupling Equations for the Kardar-Parisi-Zhang Equation in One Dimension
• Streched exponential in non-linear stochastic filed theories

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