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A Note on Rényi Entropy Production for Markovian Evolution
Version 1
: Received: 10 September 2024 / Approved: 10 September 2024 / Online: 11 September 2024 (17:03:41 CEST)
How to cite: Favretti, M. A Note on Rényi Entropy Production for Markovian Evolution. Preprints 2024, 2024090866. https://doi.org/10.20944/preprints202409.0866.v1 Favretti, M. A Note on Rényi Entropy Production for Markovian Evolution. Preprints 2024, 2024090866. https://doi.org/10.20944/preprints202409.0866.v1
Abstract
Entropy production in stochastic thermodynamics is defined as the average over all the possible system trajectories of a quantity (observable) which measures the divergence between a trajectory and its time-reversal. In this way a quantitative measure of the irreversible evolution of a system out of equilibrium can be given. In this note we consider a Markov system and substitute the linear average with a more general notion of average over the trajectories (Kolmogorov-Nagumo mean) which corresponds to substituting Shannon entropy with Rény entropy. We show that, unlike the linear average case, the resulting notion of entropy production depends on how the observable is defined.
Keywords
stochastic thermodynamics; Kolmogorov-Nagumo mean; Rény entropy production
Subject
Physical Sciences, Mathematical Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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