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

作者信息

Gagnon Jean-Sébastien, Hochberg David, Pérez-Mercader Juan

机构信息

Department of Earth and Planetary Sciences, Harvard University, Cambridge, Massachusetts, USA.

Centro de Astrobiología (CSIC-INTA), Madrid, Spain.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Oct;92(4):042114. doi: 10.1103/PhysRevE.92.042114. Epub 2015 Oct 7.

DOI:10.1103/PhysRevE.92.042114
PMID:26565175
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 β 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.

摘要

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