2003/10/31 by Eytan Katzav, Moshe Schwartz · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #Theoretical and Computational Physics #cond-mat.mtrl-sci #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.69.052603
published as Phys. Rev. E 69, 052603 (2004) · 8 pages, 7 figures. Accepted to PRE
arxiv created 2004/03/03 · openalex publication_date 2004/05/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.