Cooperative quenching kinetics: Computer simulation and analytical solution

The cooperative energy transfer from a donor ion to two-particle acceptors is recently experimentally observed in many optically pumped rare-earth doped crystals and may appear in excitation quenching processes, as well as in down-conversion and sensitization energy transfer. eoretical study and computer simulation of cooperative three-body interaction for an ensemble of particles with different dimensions d, concentrations c, and multipolarity S have shown that donor fluorescence decay due to cooperative quenching corresponds to the asymptotic law I(t) ∼ exp[−(Wt)d/2S−d] at the long-time stage. The power dependence of the cooperative quenching rate on the acceptor particle concentration was deduced to be W ∼ c2S/d.