Abstract
The maximum entropy principle is an important property of the exponential family. But the models of this family actually satisfy a stronger condition which is called the variational principle, and which expresses that the free energy of an equilibrium state is minimal. The definition of relative entropy is given. Thermodynamic stability is shortly discussed.
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References
Callen, H.: Thermodynamics and an Introduction to Thermostatistics, 2nd edn. Wiley, New York (1985)
Gibbs, J.W.: On the equilibrium of heterogeneous substances. Transactions of the Connecticut Academy, III. pp. 108–248, Oct., 1875–May, 1876, and 343–524, May, 1877–July, 1878
Gibbs, J.W.: Scientific papers, Vol. I. Thermodynamics. Longmans, Green, and Co., London, New York and Bombay (1906)
Jaynes, E.: Information theory and statistical mechanics. Phys. Rev. 106, 620–630 (1957)
Jaynes, E.: Papers on probability, statistics and statistical physics, ed. R.D. Rosenkrantz. Kluwer (1989)
Müller, I.: A History of Thermodynamics. Springer-Verlag, Berlin Heidelberg (2007)
Uffink, J.: Boltzmann’s work in statistical physics. In: Stanford Encyclopedia of Philosophy. http://plato.stanford.edu/entries/statphys-Boltzmann/ (2004)
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Naudts, J. (2011). Thermodynamic Equilibrium. In: Generalised Thermostatistics. Springer, London. https://doi.org/10.1007/978-0-85729-355-8_3
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DOI: https://doi.org/10.1007/978-0-85729-355-8_3
Publisher Name: Springer, London
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