EXACTLY SOLVABLE MODELS IN THE THEORY OF IRREVERSIBLE REACTIONS IN LIQUIDS

Citation
Aa. Kipriyanov et al., EXACTLY SOLVABLE MODELS IN THE THEORY OF IRREVERSIBLE REACTIONS IN LIQUIDS, Physica. A, 205(4), 1994, pp. 585-622
Citations number
43
Categorie Soggetti
Physics
Journal title
ISSN journal
03784371
Volume
205
Issue
4
Year of publication
1994
Pages
585 - 622
Database
ISI
SICI code
0378-4371(1994)205:4<585:ESMITT>2.0.ZU;2-4
Abstract
Exact kinetic equations defining the A + B --> B reaction in liquid so lutions are obtained on the basis of a many-particle approach and the notion of point-reacting particles with remote reactivity. For any ini tial correlations in the system of reactants, the calculation of many- particle kinetics is shown to reduce to the calculation of survival pr obability of one particle A in the ensemble of particles B. In the con text of the most general model the exact equations in the thermodynami c limit are obtained. The equations define the process which develops from two classes of initial correlations: those of the same type corre sponding to the reactions in the bulk, and polytypic correlations corr esponding to the reactions in non-isolated geminate pairs.