The LH2 subunit of Rps. acidophila consists of a ring of 9 alpha beta
heterodimers to which BChl's are associated. We apply the strong excit
on coupling model in which all alpha beta BChl(2) pails are organized
in a cyclic unit cell and strongly excitonically coupled. We investiga
te the exciton energy structure with heterogeneity both in the local B
Chl850 energies and in transfer integrals. We calculate the pure coher
ent memory functions of the LH2 subunit which enter the time nonlocal
Generalized Master Equations in various regimes of the exciton transfe
r. We discuss the influence of the exciton interaction with a bath (ph
onons) on the time dependence of the memory functions and we show limi
ts of the use of the time local Pauli Master Equations. We study also
the influence of the heterogeneity in the local BChl850 energies and i
n transfer integrals on the delivery time of the exciton inside of the
LH2.