Fluctuation asymptotics of hopping quenching in disordered systems

Fluctuation kinetics of the hopping fluorescence quenching in disordered solid solutions: A theoretical model and experimental evidence

“…Dipole-dipole character of excitation migration is also confirmed by the form of experimental kinetics in completely substituted sample [Tb(pyca) 3 [15]. Then we obtain the solution in the time scale by the inverse Laplace transformation numerically using the Stehfest algorithm [28].…”

“…So in this work we investigate and explain these data using the results of the theoretical work published in Ref. [15]. We examined the limiting case of static fluorescence quenching, which occurs by direct energy transfer from initially excited donors to acceptors, as well as the migration accelerated quenching when 100% of donor sites are occupied.…”

“…Returning to the fluctuation stage it should be noted that approaching of the kinetics N(t) to the asymptotic form (8) proceeds by a rather slow law [15]:…”

“…[15]. It is shown there that from the very beginning the quenching develops in a static way: N(t)EN 0 (t).…”

“…[15] as fluctuation kinetics. Though the possibility of such a non-exponential asymptotic at t-N has been predicted in paper [5] the interpretation of the experiment is based, as a rule, on a binary theory containing the first two kinetic stages: the initial interval t 5t s of a static stage where the kinetics of the Förster type occurs, and the subsequent migration accelerated stage Eq.…”