Title
Quantum diffusion: A simple, exactly solvable model Quantum diffusion: A simple, exactly solvable model
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Amsterdam ,
Subject
Physics
Source (journal)
Physica: A: theoretical and statistical physics. - Amsterdam
Volume/pages
417(2015) , p. 96-101
ISSN
0378-4371
ISI
000345721800011
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
We propose a simple quantum mechanical model describing the time dependent diffusion current between two fermion reservoirs that were initially disconnected and characterized by different densities or chemical potentials. The exact, analytical solution of the model yields the transient behavior of the coupled fermion systems evolving to a final steady state, whereas the long-time behavior is determined by a power law rather than by exponential decay. Similar results are obtained for the entropy production which is proportional to the diffusion current. (C) 2014 Elsevier B.V. All rights reserved.
E-info
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https://repository.uantwerpen.be/docman/iruaauth/4a6a4f/cd5122170.pdf
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