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

C. Castellano·A. Gabrielli·M. Marsili·M. A. Munoz·L. Pietronero
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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.

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C. Castellano, A. Gabrielli, M. Marsili, M. A. Munoz, L. Pietronero. 1998-09-14. High dimensional behavior of the Kardar-Parisi-Zhang growth dynamics. https://doi.org/10.1103/physreve.58.r5209

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