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  • Fluctuation Theorems and the Foundations of Statistical Mechanics

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    76639_1.pdf (44.46Kb)
    Author(s)
    Evans, Denis J.
    Bernhardt, Debra
    Reid, James
    Williams, Stephen R.
    Griffith University Author(s)
    Bernhardt, Debra J.
    Reid, James C.
    Year published
    2010
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    Abstract
    In 1993 Evans, Cohen and Morriss described the first Fluctuation Theorem1. Fluctuation theorems describe the statistics of time averages of a generalized entropy production, namely the dissipation function. Close to equilibrium the average dissipation function is the average purely irreversible entropy production. However far from equilibrium where the entropy production cannot be defined, the dissipation function remains a precisely defined mathematical quantity. In words, the time average dissipation function Ωt , is the irreversible work performed on a system divided by the ambient thermodynamic temperature. Because ...
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    In 1993 Evans, Cohen and Morriss described the first Fluctuation Theorem1. Fluctuation theorems describe the statistics of time averages of a generalized entropy production, namely the dissipation function. Close to equilibrium the average dissipation function is the average purely irreversible entropy production. However far from equilibrium where the entropy production cannot be defined, the dissipation function remains a precisely defined mathematical quantity. In words, the time average dissipation function Ωt , is the irreversible work performed on a system divided by the ambient thermodynamic temperature. Because the microscopic equations of motion (either classical or quantum mechanical) are always time reversal symmetric, the dissipation function like the entropy production may be positive or negative.
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    Journal Title
    World Journal of Engineering
    Volume
    2010
    Issue
    Suppl. 2
    Publisher URI
    http://www.multi-science.co.uk/wje.htm
    Copyright Statement
    © 2010 Multi-Science Publishing Co. Ltd. The attached file is reproduced here in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
    Subject
    Thermodynamics and Statistical Physics
    Civil Engineering
    Electrical and Electronic Engineering
    Materials Engineering
    Publication URI
    http://hdl.handle.net/10072/56151
    Collection
    • Journal articles

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