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Journal of Statistical Physics

, Volume 9, Issue 3, pp 221–234 | Cite as

Asymptotic magnetic behavior of gas transport properties

  • L. Monchick
Articles

Abstract

The nonvanishing elements of the viscosity and thermal conductivity tensors of polyatomic gases fall into two classes: those that change sign with a rotation about the magnetic field line and those that do not. It is shown that the boundedness of the linearized Waldmann-Snider collision operator and its properties under symmetry transformations imply that for linear Zeeman splitting the first class vanishes at zero and infinite field as ¦B ¦ and ¦B ¦−1 and that the second class approaches its asymptotes as ¦B ¦2 and ¦B ¦−2.

Key words

Kinetic theory transport properties Senftleben-Beenakker effect asymptotic properties 

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References

  1. 1.
    J. J. M. Beenakker and F. R. McCourt,Ann. Rev. Phys. Chem. 21:47 (1970).Google Scholar
  2. 2.
    L. Waldmann,Z. Naturforsch. 129:660 (1957);13a:609 (1958).Google Scholar
  3. 3.
    R. F. Snider,J. Chem. Phys. 32:1051 (1960).Google Scholar
  4. 4.
    F. R. McCourt and R. F. Snider,J. Chem. Phys. 43:2276 (1965);46:2387 (1967);47:4117 (1967).Google Scholar
  5. 5.
    A. C. Levi and F. R. McCourt,Physica 38:415 (1968).Google Scholar
  6. 6.
    S. Hess and L. Waldmann,Z. Naturforsch. 21a:1529 (1966).Google Scholar
  7. 7.
    R. A. J. Keijser, K. D. van den Hout, and H. F. P. Knaap,Phys. Letters 42A:109 (1972).Google Scholar
  8. 8.
    H. Hulsman, F. G. van Kuik, K. W. Walstra, H. F. P. Knaap, and J. J. M. Beenakker,Physica 57:501 (1972); V. D. Borman, B. I. Nikolaev, and V. I. Troyan,Soviet Phys.- JETP Letters 9:134 (1969).Google Scholar
  9. 9.
    F. R. McCourt, H. F. P. Knaap, and H. MoraalPhysica 43:485 (1969); H. Moraal, F. R. McCourt, and H. F. P. Knaap,Physica 45:455 (1969).Google Scholar
  10. 10.
    S. Hess and L. Waldmann,Z. Naturforsch. 23a:1893 (1968).Google Scholar
  11. 11.
    S. Hess,Phys. Letters 30A:239 (1969).Google Scholar
  12. 12.
    T. Kato,Perturbation Theory for Linear Operators, Springer-Verlag, New York (1966).Google Scholar
  13. 13.
    S. Hess,Z. Naturforsch. 22a:1871 (1967).Google Scholar
  14. 14.
    R. F. Snider and B. C. Sanctuary,J. Chem. Phys. 55:1555 (1971).Google Scholar
  15. 15.
    J. E. Moyal,Proc. Camb. Phil. Soc. 45:99 (1949).Google Scholar
  16. 16.
    L. Monchick,J. Chem. Phys. 55:1759 (1971).Google Scholar
  17. 17.
    R. Schatten,Norm Ideals of Completely Continuous Operators, Springer-Verlag, New York (1970).Google Scholar
  18. 18.
    S. R. DeGroot and P. Mazur,Non-Equilibrium Thermodynamics, North-Holland, Amsterdam (1962), Chapter XI, §1, Chapter XII, §2.Google Scholar
  19. 19.
    A. C. Levi, F. R. McCourt, and A. Tip,Physica 39:165 (1968).Google Scholar
  20. 20.
    J. R. Eschbach and M. W. P. Strandberg,Phys. Rev. 85:24 (1952).Google Scholar
  21. 21.
    N. I. Akhiezer and I. M. Glazman,Theory of Linear Operators in Hilbert Space, Ungar, New York (1961).Google Scholar
  22. 22.
    M. W. Thomas and R. F. Snider,J. Stat. Phys. 2:61 (1970).Google Scholar
  23. 23.
    R. W. Zwanzig,Lectures in Theoretical Physics III (1960), p. 106.Google Scholar
  24. 24.
    R. B. Robinson and I. B. Bernstein,Ann. Phys. 18:110 (1962).Google Scholar
  25. 25.
    L. Monchick,J. Chem. Phys. 48:5154 (1968).Google Scholar
  26. 26.
    F. Zernike and C. Van Lier,Physica 6:961 (1939).Google Scholar
  27. 27.
    A. Tip, A. C. Levi, and F. R. McCourt,Physica 40:435 (1968).Google Scholar
  28. 28.
    J. J. M. Beenakker, J. A. R. Coope, and R. F. Snider,Phys. Rev. A 4:788 (1972).Google Scholar
  29. 29.
    L. Monchick,J. Chem. Phys. 53:4367 (1970).Google Scholar
  30. 30.
    D. W. Condiff, W.-K. Lu, and J. S. Dahler,J. Chem. Phys. 42:3445 (1965).Google Scholar
  31. 31.
    J. O. Hirschfelder, C. F. Curtiss, and R. B. Bird,Molecular Theory of Gases and Liquids, Wiley, New York (1964).Google Scholar
  32. 32.
    T. G. Cowling,J. Phys. A 3:744 (1970).Google Scholar

Copyright information

© Plenum Publishing Corporation 1973

Authors and Affiliations

  • L. Monchick
    • 1
  1. 1.Applied Physics LaboratoryThe Johns Hopkins UniversitySilver Spring

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