Exact asymptotics for non-radiative migration-accelerated energy   transfer in one-dimensional systems
  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. 
G.Oshanin (1), M.Tachiya (2) ((1) LPTMC, University of Paris 6,   France, (2)AIST, Tsukuba, Japan)