Unified Thermodynamic Uncertainty Relations in Linear Response
Garrahan, Juan P
Physical Review Letters
American Physical Society
MetadataShow full item record
Macieszczak, K., Brandner, K., & Garrahan, J. P. (2018). Unified Thermodynamic Uncertainty Relations in Linear Response. Physical Review Letters, 121 (13. 130601)https://doi.org/10.1103/PhysRevLett.121.130601
Thermodynamic uncertainty relations (TURs) are recently established relations between the relative uncertainty of time-integrated currents and entropy production in nonequilibrium systems. For small perturbations away from equilibrium, linear response (LR) theory provides the natural framework to study generic nonequilibrium processes. Here, we use LR to derive TURs in a straightforward and unified way. Our approach allows us to generalize TURs to systems without local time-reversal symmetry, including, e.g., ballistic transport and periodically driven classical and quantum systems. We find that, for broken time reversal, the bounds on the relative uncertainty are controlled both by dissipation and by a parameter encoding the asymmetry of the Onsager matrix. We illustrate our results with an example from mesoscopic physics. We also extend our approach beyond linear response: for Markovian dynamics, it reveals a connection between the TUR and current fluctuation theorems.
K. B. acknowledges financial support from the Academy of Finland (Contract No. 296073) and is affiliated with the Centre of Quantum Engineering. This work was supported by EPSRC Grant No. EP/M014266/1 (J. P. G., K. M.).
External DOI: https://doi.org/10.1103/PhysRevLett.121.130601
This record's URL: https://www.repository.cam.ac.uk/handle/1810/291049