Nonequilibrium fluctuation theorems from equilibrium fluctuations

A system can be driven to nonequilibrium behavior in the presence of thermodynamic imbalances in its environment, such as temperature or chemical potential differences. In derivations of far-from-equilibrium fluctuation theorems, such imbalances are typically modeled as fixed, externally imposed the...

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Main Authors: Saar Rahav, Christopher Jarzynski
Format: Article
Language:English
Published: IOP Publishing 2013-01-01
Series:New Journal of Physics
Online Access:https://doi.org/10.1088/1367-2630/15/12/125029
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author Saar Rahav
Christopher Jarzynski
author_facet Saar Rahav
Christopher Jarzynski
author_sort Saar Rahav
collection DOAJ
description A system can be driven to nonequilibrium behavior in the presence of thermodynamic imbalances in its environment, such as temperature or chemical potential differences. In derivations of far-from-equilibrium fluctuation theorems, such imbalances are typically modeled as fixed, externally imposed thermodynamic forces. Here, we argue that fluctuation theorems can instead be understood in terms of the equilibrium dynamics of a larger supersystem, containing both the system of interest and its thermal surroundings. To this end, we consider rare fluctuations that spontaneously produce imbalances in the surroundings. In the aftermath of such fluctuations, the system of interest transiently behaves as though it were in the presence of an externally applied thermodynamic force. By applying the principle of detailed balance to these rare events, we recover the fluctuation theorem in both its transient and steady-state formulations.
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spelling doaj.art-51024fa9d5c94d438b7e1c2f159825b82023-08-08T11:02:50ZengIOP PublishingNew Journal of Physics1367-26302013-01-01151212502910.1088/1367-2630/15/12/125029Nonequilibrium fluctuation theorems from equilibrium fluctuationsSaar Rahav0Christopher Jarzynski1Schulich Faculty of Chemistry, Technion—Israel Institute of Technology , Haifa 32000, IsraelDepartment of Chemistry and Biochemistry, and Institute for Physical Science and Technology, University of Maryland , College Park, MD 20742, USAA system can be driven to nonequilibrium behavior in the presence of thermodynamic imbalances in its environment, such as temperature or chemical potential differences. In derivations of far-from-equilibrium fluctuation theorems, such imbalances are typically modeled as fixed, externally imposed thermodynamic forces. Here, we argue that fluctuation theorems can instead be understood in terms of the equilibrium dynamics of a larger supersystem, containing both the system of interest and its thermal surroundings. To this end, we consider rare fluctuations that spontaneously produce imbalances in the surroundings. In the aftermath of such fluctuations, the system of interest transiently behaves as though it were in the presence of an externally applied thermodynamic force. By applying the principle of detailed balance to these rare events, we recover the fluctuation theorem in both its transient and steady-state formulations.https://doi.org/10.1088/1367-2630/15/12/125029
spellingShingle Saar Rahav
Christopher Jarzynski
Nonequilibrium fluctuation theorems from equilibrium fluctuations
New Journal of Physics
title Nonequilibrium fluctuation theorems from equilibrium fluctuations
title_full Nonequilibrium fluctuation theorems from equilibrium fluctuations
title_fullStr Nonequilibrium fluctuation theorems from equilibrium fluctuations
title_full_unstemmed Nonequilibrium fluctuation theorems from equilibrium fluctuations
title_short Nonequilibrium fluctuation theorems from equilibrium fluctuations
title_sort nonequilibrium fluctuation theorems from equilibrium fluctuations
url https://doi.org/10.1088/1367-2630/15/12/125029
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AT christopherjarzynski nonequilibriumfluctuationtheoremsfromequilibriumfluctuations