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Updated: Mar 2, 2026

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Avalanches dynamics in reaction fronts in disordered flows.

T Chevalier1, A K Dubey1, S Atis1

  • 1Laboratoire FAST, Université Paris-Sud, CNRS, Université Paris-Saclay, F-91405 Orsay, France.

Physical Review. E
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PubMed
Summary
This summary is machine-generated.

Numerical studies reveal avalanche dynamics in autocatalytic reaction fronts, characterized by power-law distributions. These findings align with the quenched-Kardar-Parisi-Zhang theory, with minor deviations explained by finite front velocity effects.

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Area of Science:

  • Complex systems
  • Chemical reaction dynamics
  • Fluid dynamics in porous media

Background:

  • Autocatalytic reaction fronts in porous media exhibit complex propagation behaviors.
  • Previous work identified three universality classes based on front shape and dynamics.
  • Adverse flow influences front propagation, leading to distinct upstream, static, or downstream regimes.

Purpose of the Study:

  • To investigate the avalanche dynamics of autocatalytic reaction fronts near a second-order transition.
  • To characterize avalanche size, duration, and lateral extension distributions.
  • To compare numerical findings with the quenched-Kardar-Parisi-Zhang (qKPZ) theory.

Main Methods:

  • Numerical simulations of autocatalytic reaction fronts in porous media.
  • Analysis of front dynamics near a second-order phase transition.
  • Statistical analysis of avalanche properties (size, duration, lateral extension).

Main Results:

  • Identified avalanche dynamics characterized by power-law distributions for avalanche size, duration, and lateral extension.
  • Exponents derived from simulations show good agreement with the qKPZ theory.
  • Observed slight discrepancies in front geometry compared to theoretical predictions.

Conclusions:

  • The avalanche dynamics of these reaction fronts are well-described by power-law distributions.
  • The qKPZ theory provides a strong theoretical framework, but finite front velocity introduces non-quasistatic corrections.
  • Finite front velocity effects are crucial for understanding geometric deviations from theoretical models.