Hysteretic thermodynamic uncertainty relation for systems with broken time-reversal symmetry

Karel Proesmans; Jordan M. Horowitz

doi:10.1088/1742-5468/ab14da

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arXiv · 1902.07008

Hysteretic thermodynamic uncertainty relation for systems with broken time-reversal symmetry

Karel Proesmans·Jordan M. Horowitz

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Abstract

The thermodynamic uncertainty relation gives a lower bound on the amount of dissipation in a mesoscopic system. By considering the fluctuations in the hysteresis of the current -- the sum of the currents in the time-forward and time-reversed processes -- we extend this relation to systems with broken time-reversal symmetry, either due to the presence of odd state variables, odd driving field or due to explicit time-dependent driving that is time-reversal asymmetric. We illustrate our predictions on a dilute, weakly-interacting gas driven out of equilibrium by the slow compression of a piston and on a ballistic multi-terminal conductor with an external magnetic field.

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Karel Proesmans, Jordan M. Horowitz. 2019-03-27. Hysteretic thermodynamic uncertainty relation for systems with broken time-reversal symmetry. https://doi.org/10.1088/1742-5468%2Fab14da

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