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The probabilistic-informational opacity functional, Jaynes's principle, and distances to equilibrium of an evolving system

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Abstract

A new probabilistic-informational concept, earlier constructed by Mugur-Schächter, is further developed. Associated with Jaynes's principle, this concept permits one to define a measure for the distance between the state of a system evolving under stable constraints and the equilibrium with these constraints. An illustration is given for a gas evolving in a thermostated box. It appears that the free energy of the gas estimates the distance to equilibrium, the estimation being defined in abstract informational-probabilistic terms.

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References

  1. F. Schächter, “A Markov-information representation of evolution,”Found. Phys.,17, 183 (1987).

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  2. M. Mugur-Schächter,Ann. Inst. H. Poincaré 36, 33 (1980);Kybernetes 11 (1982); “Analyse de Systèmes,” to be published;Phys. Lett., submitted.

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  3. E. T. Jaynes,Papers on Probability, Stabilistics and Statistical Physics, R. D. Rosenkrantz, ed. (Reidel, Dordrecht, 1983).

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  4. M. Tribus,J. Appl. Mech., March 1961.

  5. C. Truesdell,Rational Thermodynamics (McGraw-Hill, New York, 1969).

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  6. R. J. Tykodi,Thermodynamics of Steady States (Macmillan, New York, 1967).

    Google Scholar 

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Schächter, F. The probabilistic-informational opacity functional, Jaynes's principle, and distances to equilibrium of an evolving system. Found Phys 17, 383–396 (1987). https://doi.org/10.1007/BF00733375

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  • DOI: https://doi.org/10.1007/BF00733375

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