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We present results of numerical simulations of the kinetics ofexciton-exciton annihilation of weakly localized one-dimensional Frenkelexcitons at low temperatures. We find that the kinetics is represented by twowell-distinguished components: a fast short-time decay and a very slowlong-time tail. The former arises from excitons that initially reside in statesbelonging to the same localization segment of the chain, while the slowcomponent is caused by excitons created on different localization segments. Weshow that the usual bi-molecular theory fails in the description of thebehavior found. We also present a qualitative analytical explanation of thenon-exponential behavior observed in both the short- and the long-time decaycomponents.Comment: Published in J. Chem. Phys. 114, 1 April (2001

Low-temperature kinetics of exciton–exciton annihilation of weakly localized one-dimensional Frenkel excitons