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Externally Driven Macroscopic Systems: Dynamics Versus Thermodynamics

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Abstract

Experience collected in mesoscopic dynamic modeling of externally driven systems indicates absence of potentials that could play role of equilibrium or nonequilibrium thermodynamic potentials yet their thermodynamics-like modeling is often found to provide a good description, good understanding, and predictions that agree with results of experimental observations. This apparent contradiction is explained by noting that the dynamic and the thermodynamics-like investigations on a given mesoscopic level of description are not directly related. Their relation is indirect. They both represent two aspects of dynamic modeling on a more microscopic level of description. The thermodynamic analysis arises in the investigation of the way the more microscopic dynamics reduces to the mesoscopic dynamics (reducing dynamics) and the mesoscopic dynamic analysis in the investigation of the result of the reduction (reduced dynamics).

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Acknowledgements

This research was partially supported by the Natural Sciences and Engineering Research Council of Canada. Funding was provided by Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada (06504 CRSNG, 462034-2014 CRSNG).

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  1. École Polytechnique de Montréal, C.P. 6079 suc. Centre-ville, Montréal, QC, H3C 3A7, Canada

    Miroslav Grmela

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  1. Miroslav Grmela
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Correspondence to Miroslav Grmela.

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Grmela, M. Externally Driven Macroscopic Systems: Dynamics Versus Thermodynamics. J Stat Phys 166, 282–316 (2017). https://doi.org/10.1007/s10955-016-1694-6

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  • DOI: https://doi.org/10.1007/s10955-016-1694-6

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