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Trapping by clusters of traps

Makhnovskii1, Berezhkovskii, Yang

  • 1Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei, Taiwan, Republic of China and Topchiev Institute of Petrochemical Synthesis, Russian Academy of Sciences, Leninsky Prospekt 29, 117912 Moscow, Russia.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
Summary
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Trap clustering significantly alters trapping kinetics from the outset. Incorporating fluctuation effects reveals richer behaviors and increases the prevalence of stretched-exponential reaction kinetics.

Area of Science:

  • Physical Chemistry
  • Chemical Physics
  • Materials Science

Background:

  • Trapping kinetics describes the rate at which particles are captured by traps.
  • Previous work established a mean-field theory for initial-stage trapping by clusters.
  • Understanding trap clustering's impact across the entire timescale is crucial.

Purpose of the Study:

  • To investigate how trap clustering modifies trapping kinetics.
  • To incorporate fluctuation effects into existing mean-field theories.
  • To analyze the manifestation of trap clustering over the full time domain.

Main Methods:

  • Application of the optimal-fluctuation method.
  • Extension of mean-field theory to include fluctuation effects.
  • Analysis of trapping kinetics across the entire time course.

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Main Results:

  • Trap clustering significantly modifies trapping kinetics from the initial stage.
  • Fluctuation-induced kinetics exhibit more complex and diverse behaviors.
  • A substantial increase in the fraction of particles following stretched-exponential kinetics is observed.

Conclusions:

  • Trap clustering is a critical factor influencing trapping dynamics.
  • Fluctuation effects are essential for a comprehensive understanding of trapping kinetics.
  • The observed increase in stretched-exponential behavior highlights the impact of clustered traps on reaction pathways.