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

Authors:Hochberg, 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 Date:24-Dec-2003
Publisher:American Physical Society
Citation:Physical Review E 68(6): 066114 (2003)
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.
Description:10 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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