Advertisement

Relativistic Kinetic Theory of Matter and Radiation

  • Byung Chan EuEmail author
Chapter

Abstract

The relativistic kinetic theory of irreversible processes in a system of matter presented in Chap.  1 of this volume is generalized to include radiation in this chapter.

References

  1. 1.
    B.C. Eu, K. Mao, Physica A 184, 187 (1992)Google Scholar
  2. 2.
    C.S. Wang, G. E. Uhlenbeck in Studies in Statistical Mechanics, Vol. 2, ed. by J. de Boer, G.E. Uhlenbeck (North-Holland, Amsterdam, 1964), p. 24Google Scholar
  3. 3.
    L.W. Nordholm, Proc. Roy. Soc. London A 119, 689 (1928)Google Scholar
  4. 4.
    E.A. Uehling, G.E. Uhlenbeck, Phys. Rev. 43, 552 (1932)ADSCrossRefGoogle Scholar
  5. 5.
    B.C. Eu, Nonequilibrium Statistical Mechanics (Kluwer, Dordrecht, 1998)CrossRefzbMATHGoogle Scholar
  6. 6.
    T.H. Boyer, Phys. Rev. D 19, 3635 (1979)ADSMathSciNetCrossRefGoogle Scholar
  7. 7.
    C.H. Braden et al., Phys. Rev. D 23, 1455 (1981)ADSCrossRefGoogle Scholar
  8. 8.
    U. Ben-Ya’acov, Phys. Rev. D 23, 1441 (1981)ADSMathSciNetCrossRefGoogle Scholar
  9. 9.
    M. Planck, The Theory of Heat Radiation (Dover, New York, 1959)zbMATHGoogle Scholar
  10. 10.
    A. Messiah, Quantum Mechanics (North-Holland, Amsterdam, 1966)zbMATHGoogle Scholar
  11. 11.
    M. A. Lyapounov, Probléme generale de la stabilité de mouvement, Ann. Fac. Sci. Toulouse 9, 203–474 (1907), translated from General problem of stability of motion (in Russian), Kharkov, 1893Google Scholar
  12. 12.
    L. Boltzmann, Ann. Phys. [3] 22, 291 (1884)Google Scholar
  13. 13.
    A. Sommerfeld, Thermodynamics and Statistical Mechanics (Academic, New York, 1956)zbMATHGoogle Scholar
  14. 14.
    A. Einstein, Phys. Z. 18, 121 (1917)Google Scholar
  15. 15.
    K. Mao, B.C. Eu, J. Phys. I (France) 3, 1757 (1993)CrossRefGoogle Scholar
  16. 16.
    C. Eckart, Phys. Rev. 58, 919 (1940)ADSCrossRefGoogle Scholar
  17. 17.
    B.C. Eu, J. Chem. Phys. 73, 2958 (1980); 74, 6362 (1981); Physica A 171, 285 (1991)Google Scholar
  18. 18.
    B.C. Eu, Kinetic Theory and Irreversible Thermodynamics (Wiley, New York, 1992)Google Scholar
  19. 19.
    R.C. Tolman, Phys. Rev. 11, 261 (1918)ADSCrossRefGoogle Scholar
  20. 20.
    P.T. Landsberg, Am. J. Phys. 46, 296 (1978); 60, 561 (1992)Google Scholar
  21. 21.
    D. ter Haar, H. Wergeland, Phys. Rep. 1, 31 (1971)ADSCrossRefGoogle Scholar
  22. 22.
    H. Flanders, Differential Forms (Academic, New York, 1963); D. G.B. Edelen, Applied Exterior Calculus (Wiley, New York, 1985); C. von Westenholz, Differential Forms in Mathematical Physics (North-Holland, Amsterdam, 1978)Google Scholar
  23. 23.
    B.C. Eu, M. Al-Ghoul, Chemical Thermodynamics (World Scientific, Singapore, 2010)CrossRefGoogle Scholar
  24. 24.
    S. Chapman, T.G. Cowling, The Mathematical Theory of Nonuniform Gases, 3rd edn. (Cambridge University Press, London, 1970)Google Scholar
  25. 25.
    E. Meeron, J. Chem. Phys. 27, 1238 (1957)ADSCrossRefGoogle Scholar
  26. 26.
    R. Kubo, J. Phys. Soc. Japan 17, 1100 (1962)ADSMathSciNetCrossRefGoogle Scholar
  27. 27.
    B.C. Eu, Generalized Thermodynamics (Kluwer, Dordrecht, 2002)CrossRefzbMATHGoogle Scholar
  28. 28.
    B.C. Eu, Transport Coefficients of Fluids (Springer, Heidelberg, 2006)Google Scholar
  29. 29.
    S.R. de Groot, A. van Leeuwen, ChG van Weert, Relativistic Kinetic Theory (North-Holland, Amsterdam, 1980)zbMATHGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Department of ChemistryMcGill UniversityMontrealCanada

Personalised recommendations