Small-scale properties of a stochastic cubic-autocatalytic reaction-diffusion model.
Department of Earth and Planetary Sciences, Harvard University, Cambridge, Massachusetts, USA.
Centro de Astrobiología (CSIC-INTA), Madrid, Spain.
Santa Fe Institute, Santa Fe, New Mexico, USA.
- Published Article
Physical Review E
American Physical Society
- Publication Date
Oct 01, 2015
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.
Report this publication
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine.
This record was last updated on 06/09/2018 and may not reflect the most current and accurate biomedical/scientific data available from NLM.
The corresponding record at NLM can be accessed at https://www.ncbi.nlm.nih.gov/pubmed/26565175