Numerical and renormalization group analysis of the phase diagram of a stochastic cubic autocatalytic reaction-diffusion system

Alberto P. Muñuzuri, Jean-Sébastien Gagnon, and Juan Pérez-Mercader
Phys. Rev. E 107, 034213 – Published 30 March 2023

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.

  • Figure
  • Figure
  • Figure
  • Figure
  • Received 8 November 2022
  • Accepted 14 March 2023

DOI:https://doi.org/10.1103/PhysRevE.107.034213

©2023 American Physical Society

Physics Subject Headings (PhySH)

Physics of Living Systems

Authors & Affiliations

Alberto P. Muñuzuri1,2,3, Jean-Sébastien Gagnon1,4, and Juan Pérez-Mercader1,5

  • 1Department of Earth and Planetary Sciences, Harvard University, Cambridge, Massachusetts 02138-1204, USA
  • 2Group of Nonlinear Physics, University of Santiago de Compostela, 15706 Santiago de Compostela, Spain
  • 3Galician Center for Mathematical Research and Technology (CITMAga), 15782 Santiago de Compostela, Spain
  • 4Department of Physics, Norwich University, Northfield, Vermont 05663, USA
  • 5Santa Fe Institute, Santa Fe, New Mexico 87501, USA

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 107, Iss. 3 — March 2023

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×