Scaling of fluorescence Stokes shift and superradiance coherence
size in disordered molecular aggregates.
V. Chernyak,a
T. Meier,b
E. Tsiper,c
and S. Mukamela
aDepartment of Chemistry, University of Rochester, Rochester, NY 14627 bDepartment of Physics and Materials Science Center, University of Marburg, D-35032, Marburg, Germany cDepartment of Physics, SUNY at Stony Brook, Stony Brook, NY 11794.
Fluorescence line shapes and cooperative spontaneous emission in
disordered one-dimensional molecular aggregatesare calculated using
closedexpressions derived by applying the method of optimal
fluctuation. A simple scaling relation Ls ~
\sqrt{&omegas} is established between the low
temperature disorder-induced Stokes shift &omegas
and the superradiance enhancement factor Ls.
Scaling of the Stokes shift with aggregate size, and the
time-dependent Stokes shift are discussed as well. Excellent
agreement is obtained with numerical simulations.
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