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Turbulent transport in reaction-diffusion systems.

A S Il'yn1,2, V A Sirota1, K P Zybin1,2

  • 1P.N. Lebedev Physical Institute of RAS, Leninskij pr. 53, 119991 Moscow, Russia.

Physical Review. E
|June 20, 2019
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Summary
This summary is machine-generated.

Turbulent advection drives exponential population growth in reaction-diffusion systems, even with density limits. This leads to faster reaction front propagation and high system intermittency.

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Area of Science:

  • Physics
  • Chemical Kinetics
  • Fluid Dynamics

Background:

  • Reaction-diffusion systems are fundamental in modeling various phenomena.
  • Turbulent advection significantly alters system dynamics.
  • Density saturation is a common feature in biological and chemical systems.

Purpose of the Study:

  • To investigate the impact of turbulent advection on reaction-diffusion systems.
  • To analyze population dynamics under density saturation.
  • To determine scaling exponents and intermittency in such systems.

Main Methods:

  • Analysis of reaction-diffusion equations with turbulent advection.
  • Focus on the viscous range of scales.
  • Calculation of exact expressions for scaling exponents.

Main Results:

  • Exponential population size increase observed, despite density saturation.
  • Exponential propagation of the reaction front.
  • Demonstration of high intermittency in the system's behavior.

Conclusions:

  • Turbulent advection can lead to counterintuitive population growth.
  • The interplay between advection and reaction kinetics is crucial.
  • The system exhibits complex dynamics characterized by intermittency.