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  • Deterministic thermostats, theories of nonequilibrium systems and parallels with the ergodic condition

    Author(s)
    Jepps, Owen G
    Rondoni, Lamberto
    Griffith University Author(s)
    Jepps, Owen
    Year published
    2010
    Metadata
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    Abstract
    Deterministic 'thermostats' are mathematical tools used to model nonequilibrium steady states of fluids. The resulting dynamical systems correctly represent the transport properties of these fluids and are easily simulated on modern computers. More recently, the connection between such thermostats and entropy production has been exploited in the development of nonequilibrium fluid theories. The purpose and limitations of deterministic thermostats are discussed in the context of irreversible thermodynamics and the development of theories of nonequilibrium phenomena. We draw parallels between the development of such nonequilibrium ...
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    Deterministic 'thermostats' are mathematical tools used to model nonequilibrium steady states of fluids. The resulting dynamical systems correctly represent the transport properties of these fluids and are easily simulated on modern computers. More recently, the connection between such thermostats and entropy production has been exploited in the development of nonequilibrium fluid theories. The purpose and limitations of deterministic thermostats are discussed in the context of irreversible thermodynamics and the development of theories of nonequilibrium phenomena. We draw parallels between the development of such nonequilibrium theories and the development of notions of ergodicity in equilibrium theories.
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    Journal Title
    Journal of Physics A: Mathematical and Theoretical
    Volume
    43
    Issue
    13
    DOI
    https://doi.org/10.1088/1751-8113/43/13/133001
    Subject
    Mathematical sciences
    Physical sciences
    Other physical sciences not elsewhere classified
    Publication URI
    http://hdl.handle.net/10072/37237
    Collection
    • Journal articles

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