Katarzyna Macieszczak
Unified Thermodynamic Uncertainty Relations in Linear Response
Macieszczak, Katarzyna; Brandner, Kay; Garrahan, Juan P.
Authors
KAY BRANDNER KAY.BRANDNER@NOTTINGHAM.AC.UK
Assistant Professor
JUAN GARRAHAN JUAN.GARRAHAN@NOTTINGHAM.AC.UK
Professor of Physics
Abstract
Thermodynamic uncertainty relations (TURs) are recently established relations between the relative uncertainty of time-integrated currents and entropy production in non-equilibrium systems. For small perturbations away from equilibrium, linear response (LR) theory provides the natural framework to study generic non-equilibrium 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 for example 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.
Citation
Macieszczak, K., Brandner, K., & Garrahan, J. P. (2018). Unified Thermodynamic Uncertainty Relations in Linear Response. Physical Review Letters, 121(13), https://doi.org/10.1103/physrevlett.121.130601
Journal Article Type | Article |
---|---|
Acceptance Date | Sep 3, 2018 |
Online Publication Date | Sep 24, 2018 |
Publication Date | Sep 28, 2018 |
Deposit Date | Sep 5, 2018 |
Publicly Available Date | Sep 5, 2018 |
Journal | Physical Review Letters |
Print ISSN | 0031-9007 |
Electronic ISSN | 1079-7114 |
Publisher | American Physical Society |
Peer Reviewed | Peer Reviewed |
Volume | 121 |
Issue | 13 |
Article Number | 130601 |
DOI | https://doi.org/10.1103/physrevlett.121.130601 |
Public URL | https://nottingham-repository.worktribe.com/output/1060418 |
Publisher URL | https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.121.130601 |
Files
Unified thermodynamic uncertainty relations in linear response
(468 Kb)
PDF
You might also like
Stochastic strong zero modes and their dynamical manifestations
(2023)
Journal Article
Optimal Sampling of Dynamical Large Deviations in Two Dimensions via Tensor Networks
(2023)
Journal Article
Concentration Inequalities for Output Statistics of Quantum Markov Processes
(2023)
Journal Article
Generalized continuous Maxwell demons
(2023)
Journal Article
Anderson and many-body localization in the presence of spatially correlated classical noise
(2022)
Journal Article
Downloadable Citations
About Repository@Nottingham
Administrator e-mail: digital-library-support@nottingham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search