Journal of Chemical Physics, Vol.115, No.1, 410-421, 2001
A lifetime distribution study on the incoherent excitation transfer in systems with static disorder: Multiparticle approximations
The topic of this work is to discuss the nonexponential relaxation behavior of electronic excitations caused by static disorder in terms of the lifetime distribution chi(tau) associated with the direct electronic transfer process. Special emphasis is given to the correlation of chi(tau) with the underlying spatial distribution functions. A multiparticle approximation is proposed which can be applied to randomly distributed donor-acceptor systems interacting in Delta -dimensional spaces via some arbitrary coupling mechanism. The method yields the distribution of lifetimes in terms of a hierarchy of integral representations of orders m=1,2,3,... corresponding to the interaction of a donor with m surrounding acceptors. For the multipolar case, the first approximation orders are elaborated and discussed in terms of the moments of the next neighbors distance distribution functions.