Diffusion-reaction approach to electronic relaxation in solution: Exact time domain solution for Dirac delta function sink model
Chemical Physics
2020-04-28 v1 Statistical Mechanics
Abstract
We propose an analytical method for finding the time domain solution for the problem of electronic relaxation of a molecule in solution. The relaxation process is modeled by the decay of a diffusing probability distribution through an absorbing sink. In our model, the diffusive motion is modeled using the Smoluchowski equation for harmonic potential and the sink is represented by a Dirac Delta function of arbitrary strength and position. This has been an unsolved problem for a long time and is of immense importance as a model for understanding non-radiative electronic relaxation of a molecule in solution. Our solution can be used to understand various reaction-diffusion problems.
Cite
@article{arxiv.2004.12800,
title = {Diffusion-reaction approach to electronic relaxation in solution: Exact time domain solution for Dirac delta function sink model},
author = {Saravanan Rajendran and Aniruddha Chakraborty},
journal= {arXiv preprint arXiv:2004.12800},
year = {2020}
}