Detailed Fluctuation Theorems: A Unifying Perspective
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-08-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/20/9/635 |
| _version_ | 1798039662663565312 |
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| author | Riccardo Rao Massimiliano Esposito |
| author_facet | Riccardo Rao Massimiliano Esposito |
| author_sort | Riccardo Rao |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T21:56:56Z |
| format | Article |
| id | doaj.art-906137ba50c24494a4f6298464b47e04 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T21:56:56Z |
| publishDate | 2018-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-906137ba50c24494a4f6298464b47e042022-12-22T04:01:04ZengMDPI AGEntropy1099-43002018-08-0120963510.3390/e20090635e20090635Detailed Fluctuation Theorems: A Unifying PerspectiveRiccardo Rao0Massimiliano Esposito1Complex Systems and Statistical Mechanics, Physics and Materials Science Research Unit, University of Luxembourg, L-1511 Luxembourg, LuxembourgComplex Systems and Statistical Mechanics, Physics and Materials Science Research Unit, University of Luxembourg, L-1511 Luxembourg, LuxembourgWe 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.http://www.mdpi.com/1099-4300/20/9/635stochastic thermodynamicsfluctuation theoremMarkov jump processentropy productiongraph theoryconservation laws |
| spellingShingle | Riccardo Rao Massimiliano Esposito Detailed Fluctuation Theorems: A Unifying Perspective Entropy stochastic thermodynamics fluctuation theorem Markov jump process entropy production graph theory conservation laws |
| title | Detailed Fluctuation Theorems: A Unifying Perspective |
| title_full | Detailed Fluctuation Theorems: A Unifying Perspective |
| title_fullStr | Detailed Fluctuation Theorems: A Unifying Perspective |
| title_full_unstemmed | Detailed Fluctuation Theorems: A Unifying Perspective |
| title_short | Detailed Fluctuation Theorems: A Unifying Perspective |
| title_sort | detailed fluctuation theorems a unifying perspective |
| topic | stochastic thermodynamics fluctuation theorem Markov jump process entropy production graph theory conservation laws |
| url | http://www.mdpi.com/1099-4300/20/9/635 |
| work_keys_str_mv | AT riccardorao detailedfluctuationtheoremsaunifyingperspective AT massimilianoesposito detailedfluctuationtheoremsaunifyingperspective |