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

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

2009-02-10

arxiv.org/abs/0902.1654v1

Physical Review E68 (2003) 066114/1-10

Physics

Condensed Matter

Statistical Mechanics

13 pages, 2 figures

Scientific paper

10.1103/PhysRevE.68.066114

The non-equilibrium 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.

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