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.
KeywordsThermodynamic Equilibrium Thermodynamic Stability Relative Entropy Exponential Family Thermodynamic Variable
Unable to display preview. Download preview PDF.
- 2.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 Google Scholar
- 3.Gibbs, J.W.: Scientific papers, Vol. I. Thermodynamics. Longmans, Green, and Co., London, New York and Bombay (1906) Google Scholar
- 5.Jaynes, E.: Papers on probability, statistics and statistical physics, ed. R.D. Rosenkrantz. Kluwer (1989) Google Scholar
- 7.Uffink, J.: Boltzmann’s work in statistical physics. In: Stanford Encyclopedia of Philosophy. http://plato.stanford.edu/entries/statphys-Boltzmann/ (2004) Google Scholar