International Journal of Theoretical Physics

, Volume 34, Issue 4, pp 615–624 | Cite as

Subordination and Bayes' theorem in the thermodynamics of composite systems

  • B. H. Lavenda


A completely new derivation of the probability distribution in energy of a small component of a composite system, which was previously derived from the composition law of the structure function and Boltzmann's principle, is given by the method of subordination in which the conjugate, intensive parameter is randomized and is shown to possess a Bayes distribution. The derivation allows an extension of the class of structure functions to include strictly stable laws which possess domains of attraction like the normal law.


Probability Distribution Field Theory Elementary Particle Quantum Field Theory Structure Function 
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  1. Feller, W. (1971).An Introduction to Probability Theory and Its Applications, Vol. II, 2nd ed., Wiley, New York, §X.7.Google Scholar
  2. Gibbs, J. W. (1902).Elementary Principles in Statistical Mechanics, Yale University Press, New Haven, p. 120, formula (384).Google Scholar
  3. Jeffreys, H. (1961).Theory of Probability, 3rd ed., Clarendon Press, Oxford, p. 119.Google Scholar
  4. Khinchin, A. I. (1949).Mathematical Foundations of Statistical Mechanics, Dover, New York, pp. 71–75.Google Scholar
  5. Lavenda, B. H. (1991).Statistical Physics: A Probabilistic Approach, Wiley-Interscience, New York, pp. 182–185.Google Scholar
  6. Lavenda, B. H. (1995). Limitations of Boltzmann's principle,International Journal of Theoretical Physics,34, 605.Google Scholar
  7. Lavenda, B. H., and Florio, A. (1992a).Foundations of Physics Letters,5, 457.Google Scholar
  8. Lavenda, B. H., and Florio, A. (1992b).International Journal of Theoretical Physics,31, 1455.Google Scholar

Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • B. H. Lavenda
    • 1
  1. 1.Università degli StudiCamerinoItaly

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