EFFECTIVE POTENTIAL APPROXIMATION TO REACTION-DIFFUSION KINETICS IN NONHOMOGENEOUS MEDIA - MICELLAR SYSTEMS

被引：5

作者：

BARZYKIN, AV ^{[1
]}

TACHIYA, M ^{[1
]}

机构：

[1] UNIV TSUKUBA,TSUKUBA,IBARAKI 30031,JAPAN

来源：

JOURNAL OF CHEMICAL PHYSICS | 1993年 / 99卷 / 10期

关键词：

D O I：

10.1063/1.465705

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

An approximation is introduced that enables one to describe nonhomogeneous reaction-diffusion kinetics via a one-dimensional backward equation for the survival probability of a pair of particles interacting with each other through the effective potential associated with the equilibrium distance distribution in the absence of reaction. Employing the effective potential and mean reaction time approximations, the kinetics of diffusion-controlled reactions in a finite volume are analyzed, a spherical micelle being taken as a typical example of the system. A general relationship between the pseudo-first-order rate constant and the spatial arrangement of reactants is obtained. Several spatial distributions of practical importance are considered and the corresponding rate constants are calculated and compared against the existing exact analytical solutions and the results of numerical random-walk simulations.

引用

页码：7762 / 7767

页数：6

共 32 条

[1]

ALMGREN M, 1991, KINETICS CATALYSIS M, P63

[2]

ALMGREN M, 1990, CHEM PHYS, V94, P3062

[3] QUENCHING DYNAMICS AND DIFFUSION OF SMALL HYDROPHOBIC MOLECULES IN LONG RODLIKE MICELLES [J].