Abstract
The renormalization group is a set of tools that can be used to incorporate the effect of fluctuations in a dynamical system as a rescaling of the system's parameters. Here, we apply the renormalization group to a pattern-forming stochastic cubic autocatalytic reaction-diffusion model and compare its predictions with numerical simulations. Our results demonstrate a good agreement within the range of validity of the theory and show that external noise can be used as a control parameter in such systems.
- Received 8 November 2022
- Accepted 14 March 2023
DOI:https://doi.org/10.1103/PhysRevE.107.034213
©2023 American Physical Society