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

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

1998-09-14

arxiv.org/abs/cond-mat/9809197v1

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1103/PhysRevE.58.R5209

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

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