Nonperturbative Renormalization of the Kardar-Parisi-Zhang Growth Dynamics

C. Castellano; M. Marsili; L. Pietronero

doi:10.1103/PhysRevLett.80.3527

Nonperturbative Renormalization of the Kardar-Parisi-Zhang Growth Dynamics

C. Castellano, M. Marsili, and L. Pietronero

Phys. Rev. Lett. 80, 3527 – Published 20 April 1998

Abstract

We introduce a nonperturbative 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 $α$ is computed for dimensions $d = 1$ to 8, and the results are 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.

Received 19 December 1997

DOI:https://doi.org/10.1103/PhysRevLett.80.3527

Authors & Affiliations

C. Castellano¹, M. Marsili², and L. Pietronero^1,3

¹The “Abdus Salam” I.C.T.P., Strada Costiera 11, I-34100 Trieste, Italy
²International School for Advanced Studies (SISSA), via Beirut 2-4, I-34014 Trieste, Italy
³Dipartimento di Fisica and INFM Unit, University of Rome “La Sapienza,” I-00185 Roma, Italy