TY - JOUR
T1 - Numerical evidence for stretched exponential relaxations in the Kardar-Parisi-Zhang equation
AU - Katzav, Eytan
AU - Schwartz, Moshe
PY - 2004
Y1 - 2004
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85036371513&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.69.052603
DO - 10.1103/PhysRevE.69.052603
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:85036371513
SN - 1063-651X
VL - 69
SP - 4
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 5
ER -