High dimensional behavior of the Kardar-Parisi-Zhang growth dynamics

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 $α$ decays not faster than $α\sim 1/d$ for large $d$. This implies the absence of a finite upper critical dimension.

RevTeX, 4 pages, 2 figures. To appear in Phys. Rev. E