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Inertial dynamic effects on diffusion-influenced reactions: Approach based on the diffusive Cattaneo system.

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Inertial dynamics slow down diffusion-influenced reactions, affecting both bulk and geminate recombination rates. This inertial effect is particularly noticeable at short times and can be experimentally observed in geminate pair survival probabilities.

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Area of Science:

  • Chemical Kinetics
  • Physical Chemistry
  • Reaction Dynamics

Background:

  • Diffusion-influenced reactions are fundamental in chemical processes.
  • Previous models often neglected inertial dynamics, limiting accuracy for fast reactions.
  • Understanding inertial effects is crucial for reactions with finite reactivity.

Purpose of the Study:

  • To investigate inertial dynamic effects on diffusion-influenced reactions.
  • To analyze the impact of finite reactivity alongside inertial dynamics.
  • To derive analytical expressions for bulk and geminate recombination rates.

Main Methods:

  • Solving the linear diffusive Cattaneo system with a reaction sink term.
  • Developing analytical expressions for recombination rates.
  • Analyzing the short-time behavior of reaction kinetics.

Main Results:

  • Inertial dynamics were found to retard both bulk and geminate recombination rates at short times.
  • Explicit analytical expressions for these rates were derived.
  • A distinct inertial effect on the survival probability of geminate pairs at short times was identified.

Conclusions:

  • Inertial dynamics significantly influence reaction kinetics, especially at short timescales.
  • The findings extend previous analytical studies by including finite reactivity.
  • The predicted effects on geminate pair survival probability offer potential for experimental validation.