  Using the reduced density matrix formalism the time dependence of the exciton
scattering in light-harvesting ring systems of purple bacteria is calculated.
In contrast to the work of Kumble and Hochstrasser (J. Chem. Phys. 109 (1998)
855) static disorder (fluctuations of the site energies) as well as dynamic
disorder (dissipation) is taken into account. For the description of
dissipation we use Redfield theory in exciton eigenstates without secular
approximation. This is shown to be equivalent to the Markovian limit of Capek's
theory in local states. Circular aggregates with 18 pigments are studied to
model the B850 ring of bacteriochlorophyls within LH2 complexes. It can be
demonstrated that the dissipation is important for the time-dependent
anisotropy of the fluorescence. Smaller values of static disorder are
sufficient to produce the same decay rates in the anisotropy in comparison with
the results by Kumble and Hochstrasser.
