Numerical evidence for stretched exponential relaxations in the Kardar-Parisi-Zhang equation

Eytan Katzav, Moshe Schwartz

Research output: Contribution to journalArticlepeer-review

Abstract

We present results from extensive numerical integration of the Kardar-Parisi-Zhang (KPZ) equation in [Formula presented] 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. Our result clearly favors stretched exponential decay over recent results claiming to yield the exact time dependent structure factor of the [Formula presented]-dimensional KPZ system. We suggest a possible solution to that contradiction.

Original languageEnglish
Pages (from-to)4
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume69
Issue number5
DOIs
StatePublished - 2004

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