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Kinetics of contact processes under segregation.

Tomás Aquino1,2, Marco Dentz1

  • 1Spanish National Research Council (IDAEA-CSIC), 08034 Barcelona, Spain.

Physical Review. E
|February 20, 2020
PubMed
Summary

This study models contact process kinetics using a chemical continuous-time random walk, revealing how segregation and spatial heterogeneity influence reaction dynamics and macroscopic behavior.

Area of Science:

  • Physical Chemistry
  • Statistical Mechanics
  • Chemical Kinetics

Background:

  • Contact process kinetics depend on mass transfer, spatial heterogeneity, and segregation.
  • Understanding macroscopic behavior requires linking reaction times to statistical properties of fluctuating quantities.

Purpose of the Study:

  • To formulate the dynamics of advected agents interacting with segregated immobile components.
  • To analyze the role of spatial heterogeneity and segregation in reaction kinetics.

Main Methods:

  • Formulation of advected agent dynamics using a chemical continuous-time random walk model.
  • Analysis of inter-reaction times via first-passage times and a reactant restart procedure.

Main Results:

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  • Segregation introduces memory effects into the system dynamics.
  • Concentration fluctuations play a more significant role in large-scale dynamics due to segregation.

    • Conclusions:

    • The continuous-time random walk model effectively captures the influence of spatial factors on contact process kinetics.
    • Understanding memory effects and concentration fluctuations is crucial for predicting macroscopic behaviors in heterogeneous systems.