Nonequilibrium work statistics of an Aharonov-Bohm flux

Details Nonequilibrium work statistics of an Aharonov-Bohm flux Nonequilibrium work statistics of an Aharonov-Bohm flux

2011-06-27

arxiv.org/abs/1106.5385v1

Phys. Rev. E 84, 011138 (2011)

Physics

Condensed Matter

Statistical Mechanics

13 pages, 4 figures. Accepted by Phys. Rev. E

Scientific paper

10.1103/PhysRevE.84.011138

We investigate the statistics of work performed on a noninteracting electron gas confined into a ring as a threaded magnetic field is turned on. For an electron gas initially prepared in a grand canonical state it is demonstrated that the Jarzynski equality continues to hold in this case, with the free energy replaced by the grand potential. The work distribution displays a marked dependence on the temperature. While in the classical (high temperature) regime, the work probability density function follows a Gaussian distribution and the free energy difference entering the Jarzynski equality is null, the free energy difference is finite in the quantum regime, and the work probability distribution function becomes multimodal. We point out the dependence of the work statistics on the number of electrons composing the system.

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