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We report a new accelerated diffusion phenomenon that is produced by aone-dimensional ran- dom walk in which the flight probability to one of the twodirections (i.e., bias) oscillates dynam- ically in periodic, quasiperiodic,and chaotic manners. The probability oscillation dynamics can be physicallyobserved in nanoscale photoexcitation transfer in a quantum-dot network, wherethe existence probability of an exciton at the bottom energy level of a quantumdot fluctuates dif- ferently with a parameter setting. We evaluate the ensembleaverage of the time-averaged mean square displacement (ETMSD) of the timeseries obtained from the quantum-dot network model that generates variousoscillatory behaviors because the ETMSD exhibits characteristic changesdepending on the fluctuating bias; in the case of normal diffusion, theasymptotic behavior of the ETMSD is proportional to the time (i.e., a lineargrowth function), whereas it grows nonlinearly with an exponent greater than 1in the case of superdiffusion. We find that the diffusion can be acceleratedsignificantly when the fluctuating bias is characterized as weak chaos owing tothe transient nonstationarity of its biases, in which the spectrum containshigh power at low frequen- cies. By introducing a simplified model of ourrandom walk, which exhibits superdiffusion as well as normal diffusion, weexplain the mechanism of the accelerated diffusion by analyzing the mean squaredisplacement.

Accelerated diffusion by chaotic fluctuation in probability in photoexcitation transfer system