Cooperative quenching kinetics: Computer simulation and analytical solution

The ensemble averaged donor fluorescence decay due to cooperative energy transfer from a donor ion to two-particle acceptors for different dimensions d, concentrations c, and multipolarity S corresponds to the asymptotic law I(t) ∼ exp[−(Wt)d/2S−d] at the long-time stage. The cooperative quenching rate depends on the acceptor particle concentration as W ∼ c2S/d.