|
|
|
|
A. V. Barzykin, and M. Tachiya
[Phys. Rev. Lett., Vol.73, No.25, pp.3479-3482, 1994]
Luminescence quenching in micellar clusters is studied as a random walk problem, including competition between hopping and reaction. An exact expression for the survival probability of immobile excited probes is derived using the generating function formalism. The asymptotics for regular and fractal structures and for finite clusters are analyzed. The leading term of the decay is independent of the quenching rate for infinite clusters below two dimensions. Finite clusters show dynamic scaling and behave as individual micelles at long times.