Abstract
The non-Markovian features of three typical anomalous diffusing systems are studied by analytically solving the generalized Langevin equation directly driven by three kind of internal structured-noises: harmonic noise, harmonic velocity noise and harmonic acceleration noise, respectively. The time-dependent reaction rate and the transmission coefficient are calculated by using of the reactive flux method. A startling behavior of Kramers-type effective reactive flow is witnessed in the harmonic noise and harmonic acceleration noise systems.
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