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 1/d for large d. This implies the absence of a finite upper critical dimension.
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