Recent fluorescence decay experiments on an ensemble of chromophores,
each tethered to a large DNA molecule, show a biexponential relaxation
in time. Experiments on individual molecules also show biexponential
relaxation, but with a wide distribution of the relative weights of th
e two components. This indicates that on the time scale of the single-
molecule experiments, the molecules are jumping between two possible s
tates. We show that a stochastic two-state jump model can provide a qu
antitative description of these experiments. Recent similar experiment
s on single tRNA molecules are also analyzed with the model. (C) 1998
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