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arXiv · 1510.00283

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

Jean-Sebastien Gagnon·David Hochberg·Juan Perez-Mercader
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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.

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Jean-Sebastien Gagnon, David Hochberg, Juan Perez-Mercader. 2015-10-01. Small-scale properties of a stochastic cubic-autocatalytic reaction-diffusion model. https://doi.org/10.1103/physreve.92.042114

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