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Thermodynamical Foundations of Closed Discrete Non-Equilibrium Systems

  • Wolfgang Muschik EMAIL logo

Abstract

Some tools of Non-Equilibrium Thermodynamics of closed discrete systems are considered: the non-equilibrium state space, the non-equilibrium entropy as a state function and its connection with the entropy production, Clausius’ inequality, equilibrium and accompanying processes. Why can the thermostatic temperature be used successfully in thermal engineering even in cases of non-equilibrium?

References

[1] W. Muschik, Discrete systems in thermal physics and engineering: A glance from non-equilibrium thermodynamics, Contin. Mech. Thermodyn. https://doi.org/10.1007/s00161-021-01037-9.10.1007/s00161-021-01037-9Search in Google Scholar

[2] W. Schottky, Thermodynamik, Erster Teil § 1, Springer, Berlin, 1929.10.1007/978-3-642-88482-5_1Search in Google Scholar

[3] S. Kjelstrup, D. Bedeaux, E. Johannessen and J. Gross, Non-Equilibrium Thermodynamics for Engineers, Sect. 2, World Scientific, Singapore, 2017.10.1142/10286Search in Google Scholar

[4] W. Muschik, Aspects of Non-Equilibrium Thermodynamics, Sect. 1.2, World Scientific, Singapore, 1990.10.1515/jnet.1990.15.2.127Search in Google Scholar

[5] W. Muschik, Internal variables in non-equilibrium thermodynamics, J. Non-Equilib. Thermodyn. 15 (1990), 127–137.10.1007/978-3-642-84332-7_2Search in Google Scholar

[6] G. A. Maugin and W. Muschik, Thermodynamics with internal variables, J. Non-Equilib. Thermodyn. 19 (1994), no. 217–249, 250–289.10.1142/9789812796271_0004Search in Google Scholar

[7] W. Muschik, Second law and non-equilibrium entropy of Schottky systems – Doubts and verification, Entropy 20 (2018), 740, 1–15, DOI: 10.3390/c20100740.Search in Google Scholar

[8] W. Muschik, Empirical foundation and axiomatic treatment of non-equilibrium temperature, Arch. Ration. Mech. Anal. 66 (1977), 379–401.10.1007/BF00248902Search in Google Scholar

[9] W. Muschik and G. Brunk, A concept of non-equilibrum temperature, Int. J. Eng. Sci. 15 (1977), 377–389.10.1016/0020-7225(77)90047-7Search in Google Scholar

[10] W. Muschik, Contact quantities and non-equilibriun entropy of discrete systems, J. Non-Equilib. Thermodyn. 34 (2009), 75–92.10.1515/JNETDY.2009.005Search in Google Scholar

[11] G. Brunk and W. Muschik, Temperatur und irreversibilität in der rationalen mechanik, Z. Angew. Math. Mech. 55 (1975), T102–T105.Search in Google Scholar

[12] W. Muschik, Contact temperature as an internal variable of discrete systems in non-equilibrium, in: H. Altenbach, J. Pouget, M. Rousseau, B. Collet and T. Michelitsch, (eds.), Generalized Models and Non-classical Approaches in Complex Materials 1, Springer Nature (2018), 605–618.Search in Google Scholar

[13] J. Kestin, A Course in Thermodynamics, Vol. I, Sect. 13.6, Hemisphere Pub. Corp., Washington/London, 1979.Search in Google Scholar

[14] C. Papenfuß, Continuum Thermodynamics and Constitutive Theory, Sect. 4.2, Springer Nature Switzerland, 2020.10.1007/978-3-030-43989-7Search in Google Scholar

[15] W. Muschik, Fundamentals of Non-Equilibrium Thermodynamics, in: W. Muschik (ed.), Non-Equilibrium Thermodynamics with Application to Solids, CISM Courses and Lectures, 336, Springer, Wien (1993), 1–63.10.1007/978-3-7091-4321-6Search in Google Scholar

[16] J. Kestin, A Course in Thermodynamics, Vol. I, Sect. 9.11, Hemisphere Pub. Corp., Washington/London, 1979.Search in Google Scholar

[17] J. U. Keller, Ein beitrag zur thermodynamik fluider systeme, Physica 53 (1971), 602–620.10.1016/0031-8914(71)90117-0Search in Google Scholar

Received: 2021-09-28
Revised: 2022-01-12
Accepted: 2022-02-17
Published Online: 2022-04-05
Published in Print: 2022-04-30

© 2022 Walter de Gruyter GmbH, Berlin/Boston

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