Exact asymptotics for non-radiative migration-accelerated energy transfer in one-dimensional systems

TL;DR

This paper derives exact long-time asymptotics for non-radiative energy transfer in one-dimensional systems, extending a non-perturbative approach to analyze energy transfer dynamics between diffusive donors and acceptors.

Contribution

It provides a novel exact analysis of energy transfer asymptotics in one-dimensional systems using a non-perturbative method originally developed for diffusion-controlled reactions.

Findings

Exact long-time asymptotics of donor decay function derived

Extension of Bray and Blythe's approach to energy transfer systems

Results applicable to long-range transfer in one-dimensional media

Abstract

We study direct energy transfer by multipolar or exchange interactions between diffusive excited donor and diffusive unexcited acceptors. Extending over the case of long-range transfer of an excitation energy a non-perturbative approach by Bray and Blythe [Phys. Rev. Lett. 89, 150601 (2002)], originally developed for contact diffusion-controlled reactions, we determine exactly long-time asymptotics of the donor decay function in one-dimensional systems.