Skip to main content
SpringerLink
Log in

La ThéOrie de L'Information et la MéCanique Statistique Classique des SystèMes en éQuilibre

  • Chapter
Dinamica dei gas rarefatti

Part of the book series: C.I.M.E. Summer Schools ((CIME,volume 33))

  • 501 Accesses

Abstract

Le but de ces lecons est modeste; elles ne prétendent aucunement attirer votre attention par leur nouveautéet leur originalité elles se proposent seulement de vous montrer, aussi simplement que possible, comment les progrès du Calcul des Probabilités et spécialement d'un de ses nouveaux chapitres, la Théorie de l'lnformation, permettent d'unifier et de clarifier l'exposé de la Mécanique Statistique classique, tout en lui donnant, - au moins aux yeux du Mathématicien, - un peu de la rigueur qui lui fait parfois défaut.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliographie

  1. B. P. ADHIKARI, D. D. JOSHI Distance, discrimination et résumé exhaustif. Pub.Inst.Statistique Un. Paris - 5, 1956, p. 57–74.

    MATH  MathSciNet  Google Scholar 

  2. A. BLANC-LAPlERRE, P. CASAL, A. TORTRAT Méthodes mathématiques de la Mécanique Statistique. Paris, 1959.

    Google Scholar 

  3. L. BRILLOUIN Science and information Theory, 2 nd ed. New York, 1962.

    MATH  Google Scholar 

  4. E. B. DYNKIN Necessary and sufficient Statistics for a family of probability distributions. Selected Transl.in Math. Statistics and Probability. I. M. S. - A. M. S. I - 1961, p. 23–40.

    Google Scholar 

  5. Sir Ronald FISHER Theory of Statistical estimation. Proc. Cambrige Philosophical Soc. 22 – 1925, p. 700–725.

    Article  MATH  Google Scholar 

  6. J. W. GIBBS Elementary Principles in Statistical Mechanics. New York, 1902.

    MATH  Google Scholar 

  7. Principes é1émentaires de Mécanique Statistique. Paris - Hermann, 1926.

    Google Scholar 

  8. H. GRAD On Kinetic Theory of Rarefied Gases. Comm. Pure and Applied Math. 2; 1949, p. 331.

    Article  MATH  MathSciNet  Google Scholar 

  9. H. GRAD Statistical Mechanics of Dynamical Systems with Integrals other than Energy. Jour. Physical Chem,56, 1963, p. 1939.

    Google Scholar 

  10. H. GRAD Statistical Mechanics, Thermodynamics and Fluid Dynamics of Systems with an arbitrary number of Integrals. Comm. Pure and Applied Math. 5, 1952, p.455.

    Article  MATH  MathSciNet  Google Scholar 

  11. H. GRAD Kinetic Theory of Gases. Handbuch der Physics XII,p.205 Berlin 1958

    Google Scholar 

  12. H. GRAD The many faces of Entropy. Comm. Pure and Applied Math. 15, 1962, p. 325.

    MathSciNet  Google Scholar 

  13. R. JANCEL Les fondements de la Mécanique Statistique Classique, et Quantique. Paris, 1963.

    MATH  Google Scholar 

  14. E. T. JAYNES Information Theory and Statistical Mechanics. Phys. Rev. 106, 1957, p. 620,107, p. 171.

    Article  MathSciNet  Google Scholar 

  15. D. D. JOSHl L'information en Statistique Mathématique et dans la thédes communications. Pub. Inst. Statistique Un. Paris, 8 - 1959, p. 83–161.

    Google Scholar 

  16. J KAMPE DE FERIET Statistical Mechanics of continuous Média.Proc.Symp.Applied.Math. 13 - 1962, p. 165–198.

    MathSciNet  Google Scholar 

  17. J. KAMPÉ DE FÉRIET Les intégrales aléatoires des équations aux dérivées partielles et la Mécanique Statistique des milieux continus. Atti 2 Reunione Math. expression latine Firenze - 1961 - p. 152–166.

    Google Scholar 

  18. J. KAMPÉ DE FÉRIET Information theory and Statistical Mechanics. Bangalore,1963.

    Google Scholar 

  19. A. I. KHINCHIN Mathematical Foundations of Statistical Mechanics. New York, 1949.

    MATH  Google Scholar 

  20. S. KULLBACK Information Theory and Statistics. New York, 1959.

    MATH  Google Scholar 

  21. R. KURTH Axiomatics of Classical Statistical Mechanics. New York, 1960.

    MATH  Google Scholar 

  22. B. MANDELBROT An outline of a purely phenomenological Theory of Statistical Thermodynamics. I.R.E. Trans. Information Theory I.T. - 2, 1956, p. 190.

    Article  Google Scholar 

  23. B. MANDELBROT The role of Sufficiency and of Estimation in Thermodynamics. Ann. Math. Statistics, 33, 1962,p. 1021.

    Article  MATH  MathSciNet  Google Scholar 

  24. W. NOLL Die Herleitung der Grundgleichungen der Thermomechanik der Kontinua aus der Statistichen Mechanik. J. Rat, Mechanics.Analyses - 4 - 1955 - p. 627–646.

    MATH  MathSciNet  Google Scholar 

  25. H. POIN CARÉ Les Mdthodes Nouvelles de la M6ca-nique Celeste. I - Paris, Gauthier-Villars, 1892.

    Google Scholar 

  26. CI. SHANNON, W. WEAVER The Mathematical Theory of Communication. Univ. Illinois Press, 1949.

    MATH  Google Scholar 

  27. M. TRIBUS The Maximum Entropy Estimate in Reliability. In : Recent Developments in. Information and Decision Processes, New York, 1962.

    Google Scholar 

  28. M. TRIBUS, R.B. EVANS The Probability Foundations of Thermodynamics. Appl. Mech.Rev. 16, 1963, p.765

    Google Scholar 

  29. C. TRUESDELL Ergodic Theory in Classical Statistical Mechanics. in: Ergodic Theories, Proceed. Int. School of Pysics,course 14, Varenna - New York, 1961.

    Google Scholar 

  30. N. WIENER The Homogeneous chaos. American Journ. of. Mathematics - 49 - 1938, p. 897–936.

    Article  MathSciNet  Google Scholar 

  31. N. WIENER Cybernetics. Paris, Hermann, 1948.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Université - Lille, Lille, 59000, France

    Joseph Kampé de FéRiet

Authors
  1. Joseph Kampé de FéRiet
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

C. Ferrari

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

de FéRiet, J.K. (2011). La ThéOrie de L'Information et la MéCanique Statistique Classique des SystèMes en éQuilibre. In: Ferrari, C. (eds) Dinamica dei gas rarefatti. C.I.M.E. Summer Schools, vol 33. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11024-5_3

Download citation

Publish with us

Policies and ethics

Search

Navigation