P. Reineker et al., EXCITON TRANSPORT IN DYNAMICALLY DISORDERED MOLECULAR AGGREGATES - INFLUENCE ON OPTICAL-LINE SHAPES, Chemical physics, 177(3), 1993, pp. 715-726
For Frenkel excitons moving on a linear trimer we investigate the infl
uence of dynamic disorder on their optical line shapes. The dynamic di
sorder models the influence of vibrational degrees of freedom and is t
aken into account by fluctuations of the local excitation energy and o
f the transfer matrix element between neighbouring molecules. The fluc
tuations are represented by dichotomic Markov processes with coloured
noise. We obtain a closed set of equations of motion for the correlati
on functions determining the optical line shape which is solved exactl
y as well as using various approximations. The line shapes are discuss
ed for various sets of the model parameters. Furthermore we show that
slower fluctuations need higher approximations in our factorization sc
heme. The limit of static fluctuations can only be covered by the full
set of equations.