Quantum diffusion: A simple, exactly solvable model

Wim Magnus and Kwinten Nelissen

Physica A: Statistical Mechanics and its Applications, 2015, vol. 417, issue C, 96-101

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.

Keywords: Quantum evolution; Irreversibility; Quantum diffusion; Power-law decay (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:417:y:2015:i:c:p:96-101

DOI: 10.1016/j.physa.2014.09.041

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