English

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

Other Condensed Matter 2017-03-08 v1

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.

Keywords

Cite

@article{arxiv.1612.02318,
  title  = {Effects of spatial and temporal noise on a cubic-autocatalytic reaction-diffusion model},
  author = {Jean-Sebastien Gagnon and David Hochberg and Juan Perez-Mercader},
  journal= {arXiv preprint arXiv:1612.02318},
  year   = {2017}
}

Comments

10 pages, 6 figures