High dimensional behavior of the Kardar-Parisi-Zhang growth dynamics
Statistical Mechanics
2009-10-31 v1
Abstract
We investigate analytically the large dimensional behavior of the Kardar-Parisi-Zhang (KPZ) dynamics of surface growth using a recently proposed non-perturbative renormalization for self-affine surface dynamics. Within this framework, we show that the roughness exponent decays not faster than for large . This implies the absence of a finite upper critical dimension.
Keywords
Cite
@article{arxiv.cond-mat/9809197,
title = {High dimensional behavior of the Kardar-Parisi-Zhang growth dynamics},
author = {C. Castellano and A. Gabrielli and M. Marsili and M. A. Munoz and L. Pietronero},
journal= {arXiv preprint arXiv:cond-mat/9809197},
year = {2009}
}
Comments
RevTeX, 4 pages, 2 figures. To appear in Phys. Rev. E