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Anomalous diffusion of a quantum particle in the field of a nonthermal vibration

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Marlow,  Frank
Research Group Marlow, Max-Planck-Institut für Kohlenforschung, Max Planck Society;
Sektion Physik, Humboldt-Universität zu Berlin, Bereich 04, German Democratic Republic;
Zentralinstitut für physikalische Chemie Analytisches Zentrum/UKS, Akademie der Wissenschaften der DDR, Rudower Chaussee 5, 1199, DDR-Berlin, German Democratic Republic ;

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Citation

Marlow, F. (1989). Anomalous diffusion of a quantum particle in the field of a nonthermal vibration. Zeitschrift für Physik B, 75(1), 137-140. doi:10.1007/BF01313577.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0024-2458-E
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.