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Article

Detailed Fluctuation Theorems: A Unifying Perspective

1
Complex Systems and Statistical Mechanics, Physics and Materials Science Research Unit, University of Luxembourg, L-1511 Luxembourg, Luxembourg
2
Kavli Institute for Theoretical Physics, University of California, Santa Barbara, 93106 CA, USA
*
Author to whom correspondence should be addressed.
Entropy 2018, 20(9), 635; https://doi.org/10.3390/e20090635
Received: 24 July 2018 / Revised: 15 August 2018 / Accepted: 15 August 2018 / Published: 24 August 2018
(This article belongs to the Special Issue Recent Developments in Dissipative Phenomena)
We present a general method to identify an arbitrary number of fluctuating quantities which satisfy a detailed fluctuation theorem for all times within the framework of time-inhomogeneous Markovian jump processes. In doing so, we provide a unified perspective on many fluctuation theorems derived in the literature. By complementing the stochastic dynamics with a thermodynamic structure (i.e., using stochastic thermodynamics), we also express these fluctuating quantities in terms of physical observables. View Full-Text
Keywords: stochastic thermodynamics; fluctuation theorem; Markov jump process; entropy production; graph theory; conservation laws stochastic thermodynamics; fluctuation theorem; Markov jump process; entropy production; graph theory; conservation laws
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MDPI and ACS Style

Rao, R.; Esposito, M. Detailed Fluctuation Theorems: A Unifying Perspective. Entropy 2018, 20, 635. https://doi.org/10.3390/e20090635

AMA Style

Rao R, Esposito M. Detailed Fluctuation Theorems: A Unifying Perspective. Entropy. 2018; 20(9):635. https://doi.org/10.3390/e20090635

Chicago/Turabian Style

Rao, Riccardo, and Massimiliano Esposito. 2018. "Detailed Fluctuation Theorems: A Unifying Perspective" Entropy 20, no. 9: 635. https://doi.org/10.3390/e20090635

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