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.
@article{arxiv.0807.3436,
title = {Exact asymptotics for non-radiative migration-accelerated energy transfer in one-dimensional systems},
author = {G. Oshanin and M. Tachiya},
journal= {arXiv preprint arXiv:0807.3436},
year = {2010}
}