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Integral fluctuation relations for entropy production at stopping times
https://oist.repo.nii.ac.jp/records/1450
https://oist.repo.nii.ac.jp/records/1450553bab48-1c45-46ee-afda-963eb4bc03e1
名前 / ファイル | ライセンス | アクション |
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martingale21 (1.8 MB)
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International(https://creativecommons.org/licenses/by-nc-nd/4.0/)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2020-05-02 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Integral fluctuation relations for entropy production at stopping times | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
著者(英) |
Neri, Izaak
× Neri, Izaak× Roldán, Édgar× Pigolotti, Simone× Jülicher, Frank |
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書誌情報 |
en : Journal of Statistical Mechanics: Theory and Experiment 巻 2019, 号 10, p. 104006, 発行日 2019-10-16 |
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抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | A stopping time T is the first time when a trajectory of a stochastic process satisfies a specific criterion. In this paper, we use martingale theory to derive the integral fluctuation relation < e(-Stot(T))> = 1 for the stochastic entropy production S-tot in a stationary physical system at stochastic stopping times T. This fluctuation relation implies the law < S-tot(T)> >= 0, which states that it is not possible to reduce entropy on average, even by stopping a stochastic process at a stopping time, and which we call the second law of thermodynamics at stopping times. This law bounds the average amount of heat and work a system can extract from its environment when stopped at a random time. Furthermore, the integral fluctuation relation implies that certain fluctuations of entropy production are universal or are bounded by universal functions. These universal properties descend from the integral fluctuation relation by selecting appropriate stopping times: for example, when T is a first-passage time for entropy production, then we obtain a bound on the statistics of negative records of entropy production. We illustrate these results on simple models of nonequilibrium systems described by Langevin equations and reveal two interesting phenomena. First, we demonstrate that isothermal mesoscopic systems can extract on average heat from their environment when stopped at a cleverly chosen moment and that the second law at stopping times bounds the average extracted heat. Second, we demonstrate that the efficiency at stopping times of an autonomous stochastic heat engine, such as Feymann's ratchet, can be larger than the Carnot efficiency and that the second law of thermodynamics at stopping times bounds its efficiency at stopping times. | |||||
出版者 | ||||||
出版者 | IOP Publishing | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1742-5468 | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1088/1742-5468/ab40a0 | |||||
権利 | ||||||
権利情報 | © 2019 IOP Publishing Ltd and SISSA Medialab srl | |||||
権利 | ||||||
権利情報 | This is the Accepted Manuscript version of an article accepted for publication in Journal of Statistical Mechanics: Theory and Experiment. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1742-5468/ab40a0. | |||||
情報源 | ||||||
関連名称 | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://iopscience.iop.org/article/10.1088/1742-5468/ab40a0 | |||||
著者版フラグ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa |