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Large-scale emergent properties of an autocatalytic reaction-diffusion model subject to noise

AuthorsHochberg, David ; Lesmes, Felipe; Morán, Federico; Pérez-Mercader, Juan
Keywords[PACS] Probability theory, stochastic processes, and statistics
[PACS] Renormalization group methods
[PACS] Noise processes and phenomena
[PACS] Chemical kinetics and dynamics
Issue Date24-Dec-2003
PublisherAmerican Physical Society
CitationPhysical Review E 68(6): 066114 (2003)
AbstractThe 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.
Description10 pages, 3 figures, 2 appendices.-- PACS nrs.: 02.50.-r, 05.10.Cc, 72.70.+m, 82.20.-w.-- ArXiv pre-print available at: http://arxiv.org/abs/0902.1654
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevE.68.066114
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