2014/09/30 by Thomas Kloss, Léonie Canet, Nicolás Wschebor
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Anisotropy #Condensed matter physics #Coupling (piping) #Fixed point #Isotropy #Materials science #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Nonlinear system #Physics #Quantum electrodynamics #Quantum mechanics #Renormalization #Renormalization group #Statistical physics #Theoretical and Computational Physics #cond-mat.stat-mech #hep-th
paper · pdf · doi:10.1103/physreve.90.062133
published as Phys. Rev. E 90, 062133 (2014) · 18 pages, 7 figures, enlarged figures + minor changes, final version
openalex publication_date 2014/12/22 · arxiv created 2014/12/23 · arxiv updated 2014/12/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 noninteger 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 noninteger dimensions.