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Global equilibria and steady states of discrete networks, according to classical thermodynamics

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1031)

Abstract

Local and global equilibrium states of composite thermodynamic systems are discussed from a phenomenological "Gibbsian" point of view with special emphasis on the principle of minimum entropy production, starting from a system of linear differential equations modelling the evolution of such systems from local to global equilibrium or steady states caused by diffusion.

Keywords

  • Entropy Production
  • Thermodynamic System
  • Classical Thermodynamic
  • Global Equilibrium
  • Cotangent Space

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. J. W. Gibbs, Graphical Methods in the Termodynamics of Fluids. Transaction of the Connecticut Academy II (1873) 3/9–342 Coll.

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  3. H. B. Callen, Thermodynamics, an introduction to the physical theories of equilibrium thermostatics and irreversible thermodynamics. John Wiley, New York, 1960.

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  4. A. S. Wightman, Convexity and the notion of equilibrium state in thermodynamics and statistical mechanics. Introduction to: R. B. Israel: Convexity in the theory of lattice gases, Princeton University Press, Princeton, N. J., 1979.

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© 1983 Springer-Verlag

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Dress, A. (1983). Global equilibria and steady states of discrete networks, according to classical thermodynamics. In: Blanchard, P., Streit, L. (eds) Dynamics and Processes. Lecture Notes in Mathematics, vol 1031. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072110

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  • DOI: https://doi.org/10.1007/BFb0072110

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12705-5

  • Online ISBN: 978-3-540-38691-9

  • eBook Packages: Springer Book Archive