Strong-coupling phases of the anisotropic Kardar-Parisi-Zhang equation

Abstract

We study the anisotropic Kardar-Parisi-Zhang equation using nonperturbative renormalization group methods. In contrast to a previous analysis in the weak-coupling regime we find the strong coupling fixed point corresponding to the isotropic rough phase to be always locally stable and unaffected by the anisotropy even at non-integer dimensions. Apart from the well-known weak coupling and the now well established isotropic strong coupling behavior, we find an anisotropic strong coupling fixed point for nonlinear couplings of opposite signs at non-integer dimensions.

18 pages, 7 figures, enlarged figures + minor changes, final version

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• Dynamic criticality far-from-equilibrium: one-loop flow of Burgers-Kardar-Parisi-Zhang systems with broken Galilean invariance
• Kardar-Parisi-Zhang universality class in ($d+1$)-dimensions
• Surface growth on treelike lattices and the upper critical dimension of the KPZ class
• Numerical Integration of the KPZ and Related Equations on Networks: The Case of the Cayley Tree
• The non-perturbative sides of the Kardar-Parisi-Zhang equation