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

作者信息

Hochberg David, Lesmes Felipe, Morán Federico, Pérez-Mercader Juan

机构信息

Centro de Astrobiología, CSIC-INTA, Carretera Ajalvir Km. 4, 28850 Torrejón de Ardoz, Madrid, Spain.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Dec;68(6 Pt 2):066114. doi: 10.1103/PhysRevE.68.066114. Epub 2003 Dec 24.

DOI:10.1103/PhysRevE.68.066114
PMID:14754276
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.

摘要

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