title: 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 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.
authors.affiliation: Department of Earth and Planetary Sciences, Harvard University, Cambridge, Massachusetts, USA.
authors.forename: Jean-Sébastien
authors.initials: JS
authors.lastname: Gagnon
authors.affiliation: Centro de Astrobiología (CSIC-INTA), Madrid, Spain.
authors.forename: David
authors.initials: D
authors.lastname: Hochberg
authors.affiliation: Department of Earth and Planetary Sciences, Harvard University, Cambridge, Massachusetts, USA.|Santa Fe Institute, Santa Fe, New Mexico, USA.
authors.forename: Juan
authors.initials: J
authors.lastname: Pérez-Mercader
mesh_terms: D002384:Catalysis; D004058:Diffusion; D008962:Models, Theoretical; D013269:Stochastic Processes