Small-scale properties of a stochastic cubic-autocatalytic reaction-diffusion model

Abstract

We investigate the small-scale properties of a stochastic cubic-autocatalytic reaction-diffusion (CARD) model using renormalization techniques. We renormalize noise-induced ultraviolet divergences and obtain beta functions for the decay rate and coupling at one-loop. Assuming colored (power law) noise, our results show that the behavior of both decay rate and coupling with scale depends crucially on the noise exponent. Interpreting the CARD model as a proxy for a (very simple) living system, our results suggest that power law correlations in environmental fluctuations can both decrease or increase the growth of structures at smaller scales.

14 pages, 12 figures

References in corpus (3)

• Large scale emergent properties of an autocatalytic reaction-diffusion model subject to noise
• Mirror symmetry breaking and restoration: the role of noise and chiral bias
• Dynamic Renormalization Group and Noise Induced Transitions in a Reaction Diffusion Model

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