PMID: 15244866Jul 13, 2004Paper

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

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Eytan Katzav, Moshe Schwartz

Abstract

We present results from extensive numerical integration of the Kardar-Parisi-Zhang (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. Our result clearly favors stretched exponential decay over recent results claiming to yield the exact time dependent structure factor of the 1+1 -dimensional KPZ system. We suggest a possible solution to that contradiction.

References

Mar 3, 1986·Physical Review Letters·M KardarY C Zhang
Jun 21, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·F Colaiori, M A Moore
Jan 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Francesca Colaiori, M A Moore

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Citations

Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Vladimir G Miranda, Fábio D A Aarão Reis
Jul 7, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·George L Daquila, Uwe C Täuber
Aug 27, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sylvain Prolhac, Herbert Spohn
Feb 7, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jeffrey Kelling, Géza Ódo
Nov 2, 2017·Journal of Synchrotron Radiation·Mahsa Mokhtarzadeh, Karl F Ludwig
Feb 7, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Léonie CanetNicolás Wschebor
Sep 26, 2012·Physical Review Letters·Takashi Imamura, Tomohiro Sasamoto
Mar 17, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Bahman Farnudi, Dimitri D Vvedensky
Dec 12, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Thomas KlossNicolás Wschebor
Oct 30, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Thomas KlossNicolás Wschebor

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