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

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.

arXiv comment10 pages, 6 figures

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• Complex Patterns in a Simple System
• Applications of Field-Theoretic Renormalization Group Methods to Reaction-Diffusion Problems
• Large scale emergent properties of an autocatalytic reaction-diffusion model subject to noise
• Small-scale properties of a stochastic cubic-autocatalytic reaction-diffusion model
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Cited by in corpus (4)

• Dynamic modulation of external conditions can transform chemistry into logic gates
• Clues on chemical mechanisms from renormalizability: The example of a noisy cubic autocatalytic model
• Selection and control of pathways by using externally adjustable noise on a stochastic cubic autocatalytic chemical system
• Renormalization of stochastic differential equations with multiplicative noise using effective potential methods