Barrierless Electronic Relaxation in Solution: An analytically solvable model with arbitrary coupling

TL;DR

This paper extends an analytical model for electronic relaxation in solution to include delocalized coupling, providing new solutions for the average and long-term rate constants in such systems.

Contribution

It introduces an analytical approach to handle delocalized coupling in electronic relaxation, expanding previous models that assumed localized coupling.

Findings

Derived expressions for average and long-term rate constants with delocalized coupling

Extended the analytical model to more general coupling scenarios

Provided insights into how delocalized coupling affects relaxation dynamics

Abstract

In our recent publication, we have proposed an analytical method for solving the problem of electronic relaxation in solution, modeled by a particle undergoing diffusive motion under the influence of two arbitrary potentials and the coupling between the two potentials was assumed to be localized at one point. In this paper we have extended our work to deal with the case of delocalized coupling between two potentials. The average and long term rate constant for delocalized coupling is presented.