Abstract
The annihilation of incoherent excitons in a quasi-one-dimensional (Q1D) crystal containing impurities (which form traps or reflecting barriers) is studied. The distribution function and the survival probability of an annihilating pair of quasi-particles diffusing in a chain with absorbing or reflecting ends are obtained. These results are used to calculate the kinetic curves of the delayed fluorescence (DF) caused by triplet-triplet annihilation in Q1D crystals containing impurities whose concentration is much higher than the concentration of triplet excitons. It is shown that at long times the kinetics of DF is described by the exponential dependence exp( -const t 1/3) which differs qualitatively from that predicted for pure Q1D crystals, where a power law of DF decay α t -3/2 is expected.
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