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Diffusion-influenced reaction rates for active "sphere-prolate spheroid" pairs and Janus dimers
Sergey D Traytak1, Denis S Grebenkov2
1Semenov Institute of Chemical Physics of the Russian Academy of Sciences, 4 Kosygina St., 117977 Moscow, Russia.
The Journal of Chemical Physics
|January 15, 2018
Summary
This study introduces a generalized method for solving diffusion problems and applies it to analyze diffusive competition between two active particles, revealing key factors influencing reaction rates.
Area of Science:
- Physical Chemistry
- Chemical Physics
- Mathematical Modeling
Background:
- Diffusion-influenced reactions are crucial in chemical processes.
- Solving diffusion problems in complex geometries remains challenging.
- Understanding particle interactions is key to reaction kinetics.
Purpose of the Study:
- To introduce a generalized method for solving diffusion problems in non-conventional domains.
- To provide an exact solution for diffusive competition between two active particles.
- To analyze the influence of particle characteristics on reaction rates.
Main Methods:
- Generalized method of separation of variables.
- Exact analytical solution for axially symmetric diffusion problems.
- Investigated diffusion in arrays of a prolate spheroid and a sphere.
Main Results:
- The study presents a novel method for diffusion problem-solving.
- An exact solution for diffusive competition between two active particles was derived.
- Reaction rates were found to depend significantly on particle size, shape, surface reactivity, and separation distance.
Conclusions:
- The generalized method is effective for complex diffusion problems.
- Particle geometry and surface properties critically affect diffusion-influenced reaction rates.
- This work provides a framework for analyzing multi-particle diffusion systems.
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