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Large-scale emergent properties of an autocatalytic reaction-diffusion model subject to noise
David Hochberg1, Felipe Lesmes, Federico Morán
1Centro de Astrobiología, CSIC-INTA, Carretera Ajalvir Km. 4, 28850 Torrejón de Ardoz, Madrid, Spain. hochberg@laeff.esa.es
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 3, 2004
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.