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.
Similar content being viewed by others
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.
Boltzmann, L. (1872).Sitzungsberichte der Akademie der Wissenschaften in Wien,66, 275.
Boltzmann, L. (1875).Sitzungsberichte der Akademie der Wissenschaften in Wien,72, 427.
Boltzmann, L. (1876).Sitzungsberichte der Akademie der Wissenschaften in Wien,74, 503.
Born, M. and Green, H. S. (1946).Proceedings of the Royal Society (London),A188, 10.
Born, M. and Green, H. S. (1947).Proceedings of the Royal Society (London),A189, 103;A190, 455;A191, 168.
Chandrasekhar, S. (1943).Reviews of Modern Physics,15, 1.
Fokker, A. D. (1914).Annalen der Physik,43, 812.
ter Haar, D. (1954).Elements of Statistical Mechanics. Rhinehart & Co.
ter Haar, D. (1955).Reviews of Modern Physics,27, 289.
Kirkwood, J. G. (1946).Journal of Chemical Physics,14, 180.
Kirkwood, J. G. (1947).Journal of Chemical Physics,15, 72.
Liouville, J. (1838).Journal de mathématiques pures et appliquées,3, 348. See also, Whittaker, E. T. (1927).Analytical Dynamics. Cambridge University Press.
Loschmidt, J. (1876).Sitzungsberichte der Akademie der Wissenschaften in Wien,73, 139.
Loschmidt, J. (1877).Sitzungsberichte der Akademie der Wissenschaften in Wien,75, 67.
Onsager, L. (1931).Physical Review,37, 405.
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.
Planck, M. (1917).Sitzungsberichte der Preussischen Akademie der Wissenschaften zu Berlin,5, 324.
Poincaré, H. (1890).Acta mathematica, Stockholm,13, 67.
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.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Wu, TY. On the nature of theories of irreversible processes. Int J Theor Phys 2, 325–343 (1969). https://doi.org/10.1007/BF00670700
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00670700