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Effects of spatial and temporal noise on a cubic-autocatalytic reaction-diffusion model

Jean-Sébastien Gagnon^1,*, David Hochberg^2,†, and Juan Pérez-Mercader^1,3,‡

¹Department of Earth and Planetary Sciences, Harvard University, Cambridge, Massachusetts, USA
²Centro de Astrobiología (CSIC-INTA), Madrid, Spain
³Santa Fe Institute, Santa Fe, New Mexico, USA

^*gagnon01@fas.harvard.edu
^†hochbergd@cab.inta-csic.es
^‡jperezmercader@fas.harvard.edu

Phys. Rev. E 95, 032106 – Published 3 March, 2017

DOI: https://doi.org/10.1103/PhysRevE.95.032106

Abstract

We characterize the influence that external noise, with both spatial and temporal correlations, has on the scale dependence of the reaction parameters of a cubic autocatalytic reaction diffusion (CARD) system. Interpreting the CARD model as a primitive reaction scheme for a living system, the results indicate that power-law correlations in environmental fluctuations can either decrease or increase the rates of nutrient decay and the rate of autocatalysis (replication) on small spatial and temporal scales.

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Effects of spatial and temporal noise on a cubic-autocatalytic reaction-diffusion model

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