Diffusion-reaction approach to electronic relaxation in solution: Exact solution of Smoluchowski equation for parabolic potential in presence of a rectangular sink

被引：0
|
作者：
Mondal, Proma [1 ]
Chakraborty, Aniruddha [1 ]
机构：
[1] Indian Inst Technol Mandi, Sch Basic Sci, Kamand 175075, Himachal Prades, India
来源：
CHEMICAL PHYSICS | 2021年 / 548卷
关键词：
Smoluchowski; Diffusion; Reaction; Sink; DELTA-FUNCTION SINK; BARRIERLESS POTENTIALS; TORSIONAL DYNAMICS; DEPENDENT PICOSECOND; MOLECULES; LIQUIDS;
D O I：
10.1016/j.chemphys.2021.111206
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：
We give an analytical method for finding the exact solution for the problem of electronic relaxation in solution, modelled by a particle diffusing under the influence of parabolic potential in the presence of a sink of rectangular shape. The Smoluchowski equation is used to model the diffusive motion. We have derived an analytical formula for the average rate constant in closed form. Solving Smoluchowski equation analytically with a sink of arbitrary width has been an unsolved problem and is important as a realistic model for non-radiative electronic relaxation of a molecule in solution.
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页数：10
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