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

Abstract

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.

13 pages, 2 figures

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• Effects of spatial and temporal noise on a cubic-autocatalytic reaction-diffusion model
• Clues on chemical mechanisms from renormalizability: The example of a noisy cubic autocatalytic model
• Selection and control of pathways by using externally adjustable noise on a stochastic cubic autocatalytic chemical system
• Effects of intrinsic noise on a cubic autocatalytic reaction diffusion system
• Renormalization of stochastic differential equations with multiplicative noise using effective potential methods