Apparent Rate Constant for Diffusion-Controlled Three molecular (catalytic) reaction

Abstract

We present simple explicit estimates for the apparent reaction rate constant for three molecular reactions, which are important in catalysis. For small concentrations and $d>1$, the apparent reaction rate constant depends only on the diffusion coefficients and sizes of the particles. For small concentrations and $d\le 1$, it is also time -- dependent. For large concentrations, it gains the dependence on concentrations.

12 pages, LaTeX, Revised: missing ref. for important paper by G. Oshanin and A. Blumen was added and minor misprints corrected

References in corpus (3)

• Renormalization Group Calculation for the Reaction $kA\to \varnothing$
• Diffusion-Limited Aggregation Processes with 3-Particle Elementary Reactions
• Fast-diffusion mean-field theory for k-body reactions in one dimension

Cited by in corpus (4)

• Kinetics of diffusion-limited catalytically-activated reactions: An extension of the Wilemski-Fixman approach
• Adsorption of Reactive Particles on a Random Catalytic Chain: An Exact Solution
• Single-Species Reactions on a Random Catalytic Chain
• Influence of auto-organization and fluctuation effects on the kinetics of a monomer-monomer catalytic scheme