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On the nature of theories of irreversible processes

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Abstract

The purpose of the present article is to give an elementary discussion of the nature of the theories used to describe the observed irreversible processes in gases to the equilibrium state, with special regard to the explicit mathematical time-reversal invariance or non-invariance of the theories.

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References

  • Bogoliubov, N. N. (1946).Fiziologicheskii Zhurnal SSSR im. I. M. Sechenova,10, 265. Monograph translated inStudies in Statistical Mechanics. Edited by de Boer and Uhlenbeck (1962), Interscience.

    Google Scholar 

  • Boltzmann, L. (1872).Sitzungsberichte der Akademie der Wissenschaften in Wien,66, 275.

    Google Scholar 

  • Boltzmann, L. (1875).Sitzungsberichte der Akademie der Wissenschaften in Wien,72, 427.

    Google Scholar 

  • Boltzmann, L. (1876).Sitzungsberichte der Akademie der Wissenschaften in Wien,74, 503.

    Google Scholar 

  • Born, M. and Green, H. S. (1946).Proceedings of the Royal Society (London),A188, 10.

    Google Scholar 

  • Born, M. and Green, H. S. (1947).Proceedings of the Royal Society (London),A189, 103;A190, 455;A191, 168.

    Google Scholar 

  • Chandrasekhar, S. (1943).Reviews of Modern Physics,15, 1.

    Google Scholar 

  • Fokker, A. D. (1914).Annalen der Physik,43, 812.

    Google Scholar 

  • ter Haar, D. (1954).Elements of Statistical Mechanics. Rhinehart & Co.

  • ter Haar, D. (1955).Reviews of Modern Physics,27, 289.

    Google Scholar 

  • Kirkwood, J. G. (1946).Journal of Chemical Physics,14, 180.

    Google Scholar 

  • Kirkwood, J. G. (1947).Journal of Chemical Physics,15, 72.

    Google Scholar 

  • Liouville, J. (1838).Journal de mathématiques pures et appliquées,3, 348. See also, Whittaker, E. T. (1927).Analytical Dynamics. Cambridge University Press.

    Google Scholar 

  • Loschmidt, J. (1876).Sitzungsberichte der Akademie der Wissenschaften in Wien,73, 139.

    Google Scholar 

  • Loschmidt, J. (1877).Sitzungsberichte der Akademie der Wissenschaften in Wien,75, 67.

    Google Scholar 

  • Onsager, L. (1931).Physical Review,37, 405.

    Google Scholar 

  • Onsager, L. (1931).Physical Review,38, 2865. See also Casimir, H. B. G. (1945).Reviews of Modern Physics,17, 343, for a proof of the reciprocity relations on the principle of microscopic reversibility.

    Google Scholar 

  • Planck, M. (1917).Sitzungsberichte der Preussischen Akademie der Wissenschaften zu Berlin,5, 324.

    Google Scholar 

  • Poincaré, H. (1890).Acta mathematica, Stockholm,13, 67.

    Google Scholar 

  • Tolman, R. C. (1935).Principles of Statistical Mechanics. Oxford University Press.

  • Wu, T. Y. (1966).Kinetic Equations of Gases and Plasmas. Addison-Wesley.

  • Yvon, J. (1935).La Theore Statistique des Fluids et d'Equation d'Etat. Paris.

  • Zermelo, E. (1896).Annalen der Physik,57, 485.

    Google Scholar 

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Wu, TY. On the nature of theories of irreversible processes. Int J Theor Phys 2, 325–343 (1969). https://doi.org/10.1007/BF00670700

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  • DOI: https://doi.org/10.1007/BF00670700

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