Fluctuation Theorem of Information Exchange within an Ensemble of Paths Conditioned on Correlated-Microstates

Fluctuation theorems are a class of equalities that express universal properties of the probability distribution of a fluctuating path functional such as heat, work or entropy production over an ensemble of trajectories during a non-equilibrium process with a well-defined initial distribution. Jinwo...
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Autor*in:	Lee Jinwoo [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2019

Schlagwörter:	local non-equilibrium thermodynamics fluctuation theorem mutual information entropy production local mutual information thermodynamics of information stochastic thermodynamics

Übergeordnetes Werk:	In: Entropy - MDPI AG, 2003, 21(2019), 5, p 477
Übergeordnetes Werk:	volume:21 ; year:2019 ; number:5, p 477

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/e21050477

Katalog-ID:	DOAJ030209323

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spelling	10.3390/e21050477 doi (DE-627)DOAJ030209323 (DE-599)DOAJ18b0621d9827431b987ff1e116d00ffa DE-627 ger DE-627 rakwb eng QB460-466 QC1-999 Lee Jinwoo verfasserin aut Fluctuation Theorem of Information Exchange within an Ensemble of Paths Conditioned on Correlated-Microstates 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Fluctuation theorems are a class of equalities that express universal properties of the probability distribution of a fluctuating path functional such as heat, work or entropy production over an ensemble of trajectories during a non-equilibrium process with a well-defined initial distribution. Jinwoo and Tanaka (Jinwoo, L.; Tanaka, H. <i<Sci. Rep.</i< <b<2015</b<, <i<5</i<, 7832) have shown that work fluctuation theorems hold even within an ensemble of paths to each state, making it clear that entropy and free energy of each microstate encode heat and work, respectively, within the conditioned set. Here we show that information that is characterized by the point-wise mutual information for each correlated state between two subsystems in a heat bath encodes the entropy production of the subsystems and heat bath during a coupling process. To this end, we extend the fluctuation theorem of information exchange (Sagawa, T.; Ueda, M. <i<Phys. Rev. Lett.</i< <b<2012</b<, <i<109</i<, 180602) by showing that the fluctuation theorem holds even within an ensemble of paths that reach a correlated state during dynamic co-evolution of two subsystems. local non-equilibrium thermodynamics fluctuation theorem mutual information entropy production local mutual information thermodynamics of information stochastic thermodynamics Science Q Astrophysics Physics In Entropy MDPI AG, 2003 21(2019), 5, p 477 (DE-627)316340359 (DE-600)2014734-X 10994300 nnns volume:21 year:2019 number:5, p 477 https://doi.org/10.3390/e21050477 kostenfrei https://doaj.org/article/18b0621d9827431b987ff1e116d00ffa kostenfrei https://www.mdpi.com/1099-4300/21/5/477 kostenfrei https://doaj.org/toc/1099-4300 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 21 2019 5, p 477
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allfieldsSound	10.3390/e21050477 doi (DE-627)DOAJ030209323 (DE-599)DOAJ18b0621d9827431b987ff1e116d00ffa DE-627 ger DE-627 rakwb eng QB460-466 QC1-999 Lee Jinwoo verfasserin aut Fluctuation Theorem of Information Exchange within an Ensemble of Paths Conditioned on Correlated-Microstates 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Fluctuation theorems are a class of equalities that express universal properties of the probability distribution of a fluctuating path functional such as heat, work or entropy production over an ensemble of trajectories during a non-equilibrium process with a well-defined initial distribution. Jinwoo and Tanaka (Jinwoo, L.; Tanaka, H. <i<Sci. Rep.</i< <b<2015</b<, <i<5</i<, 7832) have shown that work fluctuation theorems hold even within an ensemble of paths to each state, making it clear that entropy and free energy of each microstate encode heat and work, respectively, within the conditioned set. Here we show that information that is characterized by the point-wise mutual information for each correlated state between two subsystems in a heat bath encodes the entropy production of the subsystems and heat bath during a coupling process. To this end, we extend the fluctuation theorem of information exchange (Sagawa, T.; Ueda, M. <i<Phys. Rev. Lett.</i< <b<2012</b<, <i<109</i<, 180602) by showing that the fluctuation theorem holds even within an ensemble of paths that reach a correlated state during dynamic co-evolution of two subsystems. local non-equilibrium thermodynamics fluctuation theorem mutual information entropy production local mutual information thermodynamics of information stochastic thermodynamics Science Q Astrophysics Physics In Entropy MDPI AG, 2003 21(2019), 5, p 477 (DE-627)316340359 (DE-600)2014734-X 10994300 nnns volume:21 year:2019 number:5, p 477 https://doi.org/10.3390/e21050477 kostenfrei https://doaj.org/article/18b0621d9827431b987ff1e116d00ffa kostenfrei https://www.mdpi.com/1099-4300/21/5/477 kostenfrei https://doaj.org/toc/1099-4300 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 21 2019 5, p 477
language	English
source	In Entropy 21(2019), 5, p 477 volume:21 year:2019 number:5, p 477
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callnumber-first	Q - Science
author	Lee Jinwoo
spellingShingle	Lee Jinwoo misc QB460-466 misc QC1-999 misc local non-equilibrium thermodynamics misc fluctuation theorem misc mutual information misc entropy production misc local mutual information misc thermodynamics of information misc stochastic thermodynamics misc Science misc Q misc Astrophysics misc Physics Fluctuation Theorem of Information Exchange within an Ensemble of Paths Conditioned on Correlated-Microstates
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topic_title	QB460-466 QC1-999 Fluctuation Theorem of Information Exchange within an Ensemble of Paths Conditioned on Correlated-Microstates local non-equilibrium thermodynamics fluctuation theorem mutual information entropy production local mutual information thermodynamics of information stochastic thermodynamics
topic	misc QB460-466 misc QC1-999 misc local non-equilibrium thermodynamics misc fluctuation theorem misc mutual information misc entropy production misc local mutual information misc thermodynamics of information misc stochastic thermodynamics misc Science misc Q misc Astrophysics misc Physics
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title	Fluctuation Theorem of Information Exchange within an Ensemble of Paths Conditioned on Correlated-Microstates
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title_sort	fluctuation theorem of information exchange within an ensemble of paths conditioned on correlated-microstates
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title_auth	Fluctuation Theorem of Information Exchange within an Ensemble of Paths Conditioned on Correlated-Microstates
abstract	Fluctuation theorems are a class of equalities that express universal properties of the probability distribution of a fluctuating path functional such as heat, work or entropy production over an ensemble of trajectories during a non-equilibrium process with a well-defined initial distribution. Jinwoo and Tanaka (Jinwoo, L.; Tanaka, H. <i<Sci. Rep.</i< <b<2015</b<, <i<5</i<, 7832) have shown that work fluctuation theorems hold even within an ensemble of paths to each state, making it clear that entropy and free energy of each microstate encode heat and work, respectively, within the conditioned set. Here we show that information that is characterized by the point-wise mutual information for each correlated state between two subsystems in a heat bath encodes the entropy production of the subsystems and heat bath during a coupling process. To this end, we extend the fluctuation theorem of information exchange (Sagawa, T.; Ueda, M. <i<Phys. Rev. Lett.</i< <b<2012</b<, <i<109</i<, 180602) by showing that the fluctuation theorem holds even within an ensemble of paths that reach a correlated state during dynamic co-evolution of two subsystems.
abstractGer	Fluctuation theorems are a class of equalities that express universal properties of the probability distribution of a fluctuating path functional such as heat, work or entropy production over an ensemble of trajectories during a non-equilibrium process with a well-defined initial distribution. Jinwoo and Tanaka (Jinwoo, L.; Tanaka, H. <i<Sci. Rep.</i< <b<2015</b<, <i<5</i<, 7832) have shown that work fluctuation theorems hold even within an ensemble of paths to each state, making it clear that entropy and free energy of each microstate encode heat and work, respectively, within the conditioned set. Here we show that information that is characterized by the point-wise mutual information for each correlated state between two subsystems in a heat bath encodes the entropy production of the subsystems and heat bath during a coupling process. To this end, we extend the fluctuation theorem of information exchange (Sagawa, T.; Ueda, M. <i<Phys. Rev. Lett.</i< <b<2012</b<, <i<109</i<, 180602) by showing that the fluctuation theorem holds even within an ensemble of paths that reach a correlated state during dynamic co-evolution of two subsystems.
abstract_unstemmed	Fluctuation theorems are a class of equalities that express universal properties of the probability distribution of a fluctuating path functional such as heat, work or entropy production over an ensemble of trajectories during a non-equilibrium process with a well-defined initial distribution. Jinwoo and Tanaka (Jinwoo, L.; Tanaka, H. <i<Sci. Rep.</i< <b<2015</b<, <i<5</i<, 7832) have shown that work fluctuation theorems hold even within an ensemble of paths to each state, making it clear that entropy and free energy of each microstate encode heat and work, respectively, within the conditioned set. Here we show that information that is characterized by the point-wise mutual information for each correlated state between two subsystems in a heat bath encodes the entropy production of the subsystems and heat bath during a coupling process. To this end, we extend the fluctuation theorem of information exchange (Sagawa, T.; Ueda, M. <i<Phys. Rev. Lett.</i< <b<2012</b<, <i<109</i<, 180602) by showing that the fluctuation theorem holds even within an ensemble of paths that reach a correlated state during dynamic co-evolution of two subsystems.
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Fluctuation Theorem of Information Exchange within an Ensemble of Paths Conditioned on Correlated-Microstates

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