General upper bounds on fluctuations of trajectory observables

Bakewell-Smith, George; Girotti, Federico; Guţǎ, Mǎdǎlin; Garrahan, Juan P.

Abstract

Thermodynamic uncertainty relations (TURs) are general lower bounds on the size of fluctuations of dynamical observables. They have important consequences, one being that the precision of estimation of a current is limited by the amount of entropy production. Here, we prove the existence of general upper bounds on the size of fluctuations of any linear combination of fluxes (including all time-integrated currents or dynamical activities) for continuous-time Markov chains. We obtain these general relations by means of concentration bound techniques. These "inverse TURs"are valid for all times and not only in the long time limit. We illustrate our analytical results with a simple model, and discuss wider implications of these new relations.

Citation

Bakewell-Smith, G., Girotti, F., Guţǎ, M., & Garrahan, J. P. (2023). General upper bounds on fluctuations of trajectory observables. Physical Review Letters, 131(19), Article 197101. https://doi.org/10.1103/PhysRevLett.131.197101

• Journal Article Type: Article
• Acceptance Date: Sep 21, 2023
• Online Publication Date: Nov 8, 2023
• Publication Date: Nov 10, 2023
• Deposit Date: Oct 4, 2023
• Publicly Available Date: Nov 8, 2023
• Journal: Physical Review Letters
• Print ISSN: 0031-9007
• Electronic ISSN: 1079-7114
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 131
• Issue: 19
• Article Number: 197101
• DOI: https://doi.org/10.1103/PhysRevLett.131.197101
• Keywords: Fluctuation theorems; Fluctuations & noise; Nonequilibrium & irreversible thermodynamics; Large deviation & rare event statistics; Markovian processes
• Public URL: https://nottingham-repository.worktribe.com/output/25676048
• Publisher URL: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.131.197101