Differential approach to the memory-function reaction kinetics

A new formulation of the encounter theory for liquid-phase many-particle reacting systems (MPRS) is developed. This new formulation is based upon the notion of the pair distribution function and results in a set of partial differential equations equivalent to the integro-differential equations of th...

Full description

Saved in:
Bibliographic Details
Published in:Chemical physics letters 2000-02, Vol.317 (3), p.481-489
Main Authors: Frantsuzov, P.A., Igoshin, O.A., Krissinel, E.B.
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A new formulation of the encounter theory for liquid-phase many-particle reacting systems (MPRS) is developed. This new formulation is based upon the notion of the pair distribution function and results in a set of partial differential equations equivalent to the integro-differential equations of the conventional approach. The solution is greatly improved by considering pair–particle interactions. The new formulation is applicable to arbitrary MPRS and allows for a general numerical solution. Applied to the Lotka–Volterra reaction, this approach revealed damping and increasing oscillations on the concentration, which cannot be seen in the framework of phenomenological chemical kinetics.
ISSN:0009-2614
1873-4448
DOI:10.1016/S0009-2614(99)01440-2