Abstract
Luminescene from naphthalene alloys is quenched by long-range exciton hops. These are modeled by long-range random walks on long-range percolation clusters with a range-dependent hopping time. Both linear and exponential range dependencies are simulated, over nearest to fifth nearest neighbor hops. At critical percolation thresholds the random walk properties obey the super-universality hypothesis (spectral or fraction dimension of about 4/3). However this asymptonic limit is approached at different rates for different functional forms of the hopping time (constant, r, e r, 10 r).
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