Abstract
The diffusion of quantum particles is investigated within a generalized Haken-Strobl-Reinecker model. The stochastic part in this model is assumed to be the result of a nonthermal vibration in the system. Transport is modified since the statistical properties of nonthermal vibrations differ significantly from those of thermal ones. To determine these statistical properties an equation for the characteristic functional is solved. Applying the result to a special model one obtains that the mean square displacement of quantum particle increases as the 3/2th power of time, instead of the usual first power of time.
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Marlow, F. Anomalous diffusion of a quantum particle in the field of a nonthermal vibration. Z. Physik B - Condensed Matter 75, 137–140 (1989). https://doi.org/10.1007/BF01313577
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DOI: https://doi.org/10.1007/BF01313577