A Lower Bound on Work Extraction Probability Prescribed by Nonequilibrium Work Relation

A Lower Bound on Work Extraction Probability Prescribed by Nonequilibrium Work Relation

In nonequilibrium processes, work extraction from a system is subject to random fluctuations associated with the statistical distribution prescribed by its environment. The probability of extracting work above a given arbitrary threshold can be a measure of restriction imposed by experimental circum...

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Main Author: Takuya Yamano
Format: Article
Language:English
Published: MDPI AG 2017-11-01
Series:Proceedings
Subjects:
work extraction probability
nonequilibrium work relation
free energy difference
Online Access:https://www.mdpi.com/2504-3900/2/4/162
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spelling doaj-a4c3eb8ddf8147aca3c7242d6524b1e92020-11-24T23:43:18ZengMDPI AGProceedings2504-39002017-11-012416210.3390/ecea-4-05015ecea-4-05015A Lower Bound on Work Extraction Probability Prescribed by Nonequilibrium Work RelationTakuya Yamano0Department of Mathematics and Physics, Faculty of Science, Kanagawa University, 2946, 6-233 Tsuchiya, Hiratsuka, Kanagawa 259-1293, JapanIn nonequilibrium processes, work extraction from a system is subject to random fluctuations associated with the statistical distribution prescribed by its environment. The probability of extracting work above a given arbitrary threshold can be a measure of restriction imposed by experimental circumstances. We present a lower bound for the probability when the work value lies in a finite range. For the case of fixed maximum work, the lower bound gets larger as the free energy difference between initial and final states becomes larger. We point out also that an upper bound previously reported in the literature is a direct consequence of the well-known second mean value theorem for definite integrals.https://www.mdpi.com/2504-3900/2/4/162work extraction probabilitynonequilibrium work relationfree energy difference
collection DOAJ
language English
format Article
sources DOAJ
author Takuya Yamano
spellingShingle Takuya Yamano
A Lower Bound on Work Extraction Probability Prescribed by Nonequilibrium Work Relation
Proceedings
work extraction probability
nonequilibrium work relation
free energy difference
author_facet Takuya Yamano
author_sort Takuya Yamano
title A Lower Bound on Work Extraction Probability Prescribed by Nonequilibrium Work Relation
title_short A Lower Bound on Work Extraction Probability Prescribed by Nonequilibrium Work Relation
title_full A Lower Bound on Work Extraction Probability Prescribed by Nonequilibrium Work Relation
title_fullStr A Lower Bound on Work Extraction Probability Prescribed by Nonequilibrium Work Relation
title_full_unstemmed A Lower Bound on Work Extraction Probability Prescribed by Nonequilibrium Work Relation
title_sort lower bound on work extraction probability prescribed by nonequilibrium work relation
publisher MDPI AG
series Proceedings
issn 2504-3900
publishDate 2017-11-01
description In nonequilibrium processes, work extraction from a system is subject to random fluctuations associated with the statistical distribution prescribed by its environment. The probability of extracting work above a given arbitrary threshold can be a measure of restriction imposed by experimental circumstances. We present a lower bound for the probability when the work value lies in a finite range. For the case of fixed maximum work, the lower bound gets larger as the free energy difference between initial and final states becomes larger. We point out also that an upper bound previously reported in the literature is a direct consequence of the well-known second mean value theorem for definite integrals.
topic work extraction probability
nonequilibrium work relation
free energy difference
url https://www.mdpi.com/2504-3900/2/4/162
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