Hysteretic thermodynamic uncertainty relation for systems with broken time-reversal symmetry. (24th May 2019)

• Record Type: Journal Article
• Authors: Proesmans, Karel; Horowitz, Jordan M
• Is Part Of: Journal of statistical mechanics. (2019:May)
• Publication Date: 2019-05-24
• Subjects: Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/ab14da
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: The thermodynamic uncertainty relation bounds the amount current fluctuations can be suppressed in terms of the 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 fields 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.