Large-scale emergent properties of an autocatalytic reaction-diffusion model subject to noise.
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.
Hochberg
David
D
Centro de Astrobiología, CSIC-INTA, Carretera Ajalvir Km. 4, 28850 Torrejón de Ardoz, Madrid, Spain. hochberg@laeff.esa.es
Lesmes
Felipe
F
Morán
Federico
F
Pérez-Mercader
Juan
J