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Principle of Entropy Maximization for Nonequilibrium Steady States

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Thermal Nonequilibrium Phenomena in Fluid Mixtures

Part of the book series: Lecture Notes in Physics ((LNP,volume 584))

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Abstract

The goal of this contribution is to find out to what extent the principle of entropy maximization, which serves as a basis for the equilibrium thermodynamics, may be generalized onto non-equilibrium steady states. We prove a theorem that, in the system of thermodynamic coordinates, where entropy has a maximum in a steady state with regard to some thermodynamic variables, the matrix of the Onsager phenomenological coefficients becomes diagonal. The theorem requires consistent rules of the coordinate transformations in the non-equilibrium thermodynamics. Such rules are formulated. The results make it possible, in some cases, to reduce the number of unknown transport coefficients in thermodynamic description of the transport processes.

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Shapiro, A.A., Stenby, E.H. (2002). Principle of Entropy Maximization for Nonequilibrium Steady States. In: Köhler, W., Wiegand, S. (eds) Thermal Nonequilibrium Phenomena in Fluid Mixtures. Lecture Notes in Physics, vol 584. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45791-7_4

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  • DOI: https://doi.org/10.1007/3-540-45791-7_4

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  • Print ISBN: 978-3-540-43231-9

  • Online ISBN: 978-3-540-45791-6

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