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Weakly Nonlocal Non-equilibrium Thermodynamics – Variational Principles and Second Law

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Applied Wave Mathematics

Abstract

A general, uniform, rigorous and constructive thermodynamic approach to weakly nonlocal non-equilibrium thermodynamics is reviewed. A method is given to construct and restrict the evolution equations of physical theories according to the Second Law of Thermodynamics and considering weakly nonlocal constitutive state spaces. The evolution equations of internal variables, the classical irreversible thermodynamics and Korteweg fluids are treated.

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Authors and Affiliations

  1. Department of Theoretical Physics, KFKI, Research Institute of Particle and Nuclear Physics, Konkoly Thege Miklós út 29-33, 1525, Budapest, Hungary

    Péter Ván

  2. Department of Energy Engineering, Budapest University of Technology and Economics, Bertalan Lajos u. 4-6., 1111, Budapest, Hungary

    Péter Ván

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  1. Péter Ván
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  1. Tallinn University of Technology, Inst. Cybernetics, Estonian Academy of Sciences, Akadeemia Tee 21, Tallinn, 12618, Estonia

    Ewald Quak

  2. Tallinn University of Technology, Inst. Cybernetics, Estonian Academy of Sciences, Akadeemia Tee 21, Tallinn, 12618, Estonia

    Tarmo Soomere

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Ván, P. (2009). Weakly Nonlocal Non-equilibrium Thermodynamics – Variational Principles and Second Law. In: Quak, E., Soomere, T. (eds) Applied Wave Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00585-5_10

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