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arXiv · 0902.1654

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

David Hochberg·Felipe Lesmes·Federico Moran·Juan Perez-Mercader
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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.

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David Hochberg, Felipe Lesmes, Federico Moran, Juan Perez-Mercader. 2009-02-10. Large scale emergent properties of an autocatalytic reaction-diffusion model subject to noise. https://doi.org/10.1103/physreve.68.066114

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