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Hyperaccurate bounds in discrete-state Markovian systems

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Author(s):
Busiello, D. M. ; Fiore, C. E.
Total Authors: 2
Document type: Journal article
Source: Journal of Physics A-Mathematical and Theoretical; v. 55, n. 48, p. 17-pg., 2022-12-02.
Abstract

Generalized empirical currents represent a vast class of thermodynamic observables of mesoscopic systems. Their fluctuations satisfy the thermodynamic uncertainty relations (TURs), as they can be bounded by the average entropy production. Here, we derive a general closed expression for the hyperaccurate current in discrete-state Markovian systems, i.e. the one with the least fluctuations, for both discrete- and continuous-time evolution. We show that its associated hyperaccurate bound is generally much tighter than the one given by the TURs, and might be crucial to providing a reliable estimation of the average entropy production. We also show that one-loop systems (rings) exhibit a hyperaccurate current only for finite times, highlighting the importance of short-time observations. Additionally, we derive two novel bounds for the efficiency of work-to-work converters, solely as a function of either the input or the output power. Finally, our theoretical results are employed to analyze a six-state model network for kinesin, and a chemical system in a thermal gradient exhibiting a dissipation-driven selection of states. (AU)

FAPESP's process: 21/03372-2 - Stochastic thermodynamics of phase transitions and periodically driven systems
Grantee:Carlos Eduardo Fiore dos Santos
Support Opportunities: Regular Research Grants