Non-perturbative renormalization group for the Kardar-Parisi-Zhang equation

Abstract

We present a simple approximation of the non-perturbative renormalization group designed for the Kardar-Parisi-Zhang equation and show that it yields the correct phase diagram, including the strong-coupling phase with reasonable scaling exponent values in physical dimensions. We find indications of a possible qualitative change of behavior around $d=4$. We discuss how our approach can be systematically improved.

4 pages, 1 figure, references added, minor changes

References in corpus (3)

• Non-perturbative fixed point in a non-equilibrium phase transition
• Numerical study of the Kardar-Parisi-Zhang equation
• Stochastic Model in the Kardar-Parisi-Zhang Universality With Minimal Finite Size Effects

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