title: Large-scale emergent properties of an autocatalytic reaction-diffusion model subject to noise.
abstract: The nonequilibrium dynamic fluctuations of a stochastic version of the Gray-Scott (GS) model are studied analytically in leading order in perturbation theory by means of the dynamic renormalization group. There is an attracting stable fixed point at one-loop order, and the asymptotic scaling of the correlation functions is predicted for both spatial and temporally correlated noise sources. New effective three-body reaction terms, not present in the original GS model, are induced by the combined interplay of the fluctuations and nonlinearities.
authors.affiliation: Centro de Astrobiología, CSIC-INTA, Carretera Ajalvir Km. 4, 28850 Torrejón de Ardoz, Madrid, Spain. hochberg@laeff.esa.es
authors.forename: David
authors.initials: D
authors.lastname: Hochberg
authors.forename: Felipe
authors.initials: F
authors.lastname: Lesmes
authors.forename: Federico
authors.initials: F
authors.lastname: Morán
authors.forename: Juan
authors.initials: J
authors.lastname: Pérez-Mercader