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Multiple external field effects on diffusion-limited reversible reactions for a geminate pair with no interparticle
1Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom.
The Journal of Chemical Physics
|September 3, 2015
Summary
External fields influence the reaction kinetics of geminate particle pairs. Binding probabilities shift along the combined field directions, offering insights into diffusion-controlled reversible reactions.
Area of Science:
- Physical Chemistry
- Chemical Kinetics
- Theoretical Chemistry
Background:
- Investigating geminate particle pair kinetics is crucial for understanding diffusion-limited reactions.
- External fields can significantly alter particle behavior and reaction pathways.
Purpose of the Study:
- To analyze the kinetics of geminate particle pairs under diffusion-limited reversible reactions.
- To determine the influence of external fields (electric, gravitational) on reaction probabilities.
Main Methods:
- Continuum theory and diffusion equations were employed.
- Analytical solutions using Green functions were derived.
- Local and overall binding probabilities were calculated.
Main Results:
- External fields were shown to control geminate particle pair kinetics.
- Binding probabilities were found to depend on initial particle distance, orientation, and field direction.
- At long times, binding probabilities shift along the vector sum of applied fields.
Conclusions:
- External fields provide a mechanism to direct reaction outcomes.
- The study offers a theoretical framework for predicting reaction behavior in applied fields.
- Understanding field-particle interactions is key for controlling chemical processes.
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