Non-perturbative renormalization of the KPZ growth dynamics

Details Non-perturbative renormalization of the KPZ growth dynamics Non-perturbative renormalization of the KPZ growth dynamics

1998-02-26

arxiv.org/abs/cond-mat/9802284v1

Phys. Rev. Lett. 80 PAGE 4830 (1998)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures. To appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.80.3527

We introduce a non-perturbative renormalization approach which identifies stable fixed points in any dimension for the Kardar-Parisi-Zhang dynamics of rough surfaces. The usual limitations of real space methods to deal with anisotropic (self-affine) scaling are overcome with an indirect functional renormalization. The roughness exponent $\alpha$ is computed for dimensions $d=1$ to 8 and it results to be in very good agreement with the available simulations. No evidence is found for an upper critical dimension. We discuss how the present approach can be extended to other self-affine problems.

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