title: Kardar-Parisi-Zhang equation with spatially correlated noise: a unified picture from nonperturbative renormalization group.
abstract: We investigate the scaling regimes of the Kardar-Parisi-Zhang (KPZ) equation in the presence of spatially correlated noise with power-law decay D(p) ∼ p(-2ρ) in Fourier space, using a nonperturbative renormalization group approach. We determine the full phase diagram of the system as a function of ρ and the dimension d. In addition to the weak-coupling part of the diagram, which agrees with the results from Europhys. Lett. 47, 14 (1999) and Eur. Phys. J. B 9, 491 (1999), we find the two fixed points describing the short-range- (SR) and long-range- (LR) dominated strong-coupling phases. In contrast with a suggestion in the references cited above, we show that, for all values of ρ, there exists a unique strong-coupling SR fixed point that can be continuously followed as a function of d. We show in particular that the existence and the behavior of the LR fixed point do not provide any hint for 4 being the upper critical dimension of the KPZ equation with SR noise.
authors.affiliation: International Institute of Physics, UFRN, Av. Odilon Gomes de Lima 1722, 59078-400 Natal, Brazil.
authors.forename: Thomas
authors.initials: T
authors.lastname: Kloss
authors.affiliation: LPMMC, CNRS UMR 5493, Université Joseph Fourier Grenoble, Boîte Postale 166, 38042 Grenoble, France.
authors.forename: Léonie
authors.initials: L
authors.lastname: Canet
authors.affiliation: Sorbonne Universités, UPMC Univ. Paris 06, UMR 7600, LPTMC, F-75005 Paris, France and CNRS, UMR 7600, LPTMC, F-75005 Paris, France.
authors.forename: Bertrand
authors.initials: B
authors.lastname: Delamotte
authors.affiliation: Sorbonne Universités, UPMC Univ. Paris 06, UMR 7600, LPTMC, F-75005 Paris, France and CNRS, UMR 7600, LPTMC, F-75005 Paris, France and Instituto de Física, Facultad de Ingeniería, Universidad de la República, J.H.y Reissig 565, 11000 Montevideo, Uruguay.
authors.forename: Nicolás
authors.initials: N
authors.lastname: Wschebor
mesh_terms: D000465:Algorithms; D003102:Colloids / Q000737:chemistry*; D003198:Computer Simulation; D008956:Models, Chemical; D015233:Models, Statistical; D013269:Stochastic Processes
chemical_list: D003102:Colloids