Hysteretic thermodynamic uncertainty relation for systems with broken time-reversal symmetry
Statistical Mechanics
2019-09-04 v3
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.
Keywords
Cite
@article{arxiv.1902.07008,
title = {Hysteretic thermodynamic uncertainty relation for systems with broken time-reversal symmetry},
author = {Karel Proesmans and Jordan M. Horowitz},
journal= {arXiv preprint arXiv:1902.07008},
year = {2019}
}