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Radially Locked Sun-Ray Patterns in Reaction-Diffusion-Advection Systems.

S N Maharana1, L Negrojević1, A Comolli1

  • 1Université libre de Bruxelles (ULB), Nonlinear Physical Chemistry Unit, 1050 Brussels, Belgium.

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|March 1, 2026
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Summary
This summary is machine-generated.

Traveling fronts can form new "shining-star" patterns when advection locks them radially. This phenomenon, observed in chemical reactions, arises from differing diffusion rates and can be controlled by flow conditions.

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Area of Science:

  • Chemical kinetics
  • Fluid dynamics
  • Pattern formation

Background:

  • Traveling fronts are common in natural systems and prone to instabilities.
  • Diffusive and convective instabilities can cause transverse cellular deformations in fronts.
  • Radial advection can lock fronts, influencing their stability and pattern evolution.

Purpose of the Study:

  • To investigate the formation of new patterns in traveling fronts when destabilization is triggered around a radially locked front.
  • To theoretically and experimentally demonstrate the development of angularly shifting, sun-ray-like patterns.
  • To analyze the control parameters influencing these novel structures.

Main Methods:

  • Theoretical analysis using linear stability analysis.
  • Numerical simulations including nonlinear simulations.
  • Experimental investigation using the chlorite-tetrathionate reaction.

Main Results:

  • Angularly shifting sun-ray-like patterns emerge around autocatalytic fronts stabilized by radial advection.
  • These patterns originate from a diffusive instability driven by disparate diffusion rates of autocatalyst X and reactant Y.
  • The characteristics of the observed shining-star structures are tunable via flow rate (Q) and diffusion coefficient ratio (δ).

Conclusions:

  • Radial advection can stabilize traveling fronts and lead to the formation of unique spatiotemporal patterns.
  • The interplay between diffusion rates and advection is crucial for pattern selection and control.
  • The chlorite-tetrathionate reaction serves as a model system for studying these advection-driven pattern formations.