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

  title={Hysteretic thermodynamic uncertainty relation for systems with broken time-reversal symmetry},
  author={Karel Proesmans and Jordan M. Horowitz},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
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… 

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