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

Authors
  • Gagnon, Jean-Sébastien1
  • Hochberg, David2
  • Pérez-Mercader, Juan1, 3
  • 1 Department of Earth and Planetary Sciences, Harvard University, Cambridge, Massachusetts, USA.
  • 2 Centro de Astrobiología (CSIC-INTA), Madrid, Spain. , (Spain)
  • 3 Santa Fe Institute, Santa Fe, New Mexico, USA. , (Mexico)
Type
Published Article
Journal
Physical Review E
Publisher
American Physical Society
Publication Date
Oct 01, 2015
Volume
92
Issue
4
Pages
42114–42114
Identifiers
DOI: 10.1103/PhysRevE.92.042114
PMID: 26565175
Source
Medline
License
Unknown

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.

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