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Three-point fluorescence lifetime correlation functions are computed for the fluorescence resonance energy transfer (FRET) and electron transfer (ET) quenching mechanisms in a single donor−acceptor system of which the distance X undergoes anomalous diffusion in a harmonic potential with short-time variance scaling as ∼tα. The three-point joint probability distribution of X and its moments are calculated by solving the fractional Fokker−Planck equation (FFPE). For α = 1, the process is stationary and the two- and three-point joint probability distribution is centered around the time-dependent average donor−acceptor separation, 〈X(t)〉. For α < 1, the distribution slows down, becomes nonstationary, and remains centered at initial separation X(0) even for times exceeding the bath correlation time scale.

Multipoint Fluorescence Quenching-Time Statistics for Single Molecules with Anomalous Diffusion