Application of Blanc’s law at arbitrary electric field to gas density ratios

  • J. V. Jovanović
  • S. B. VrhovacEmail author
  • Z. Lj Petrović


Application of Blanc’s law for drift velocities of electrons and ions in gas mixtures at arbitrary reduced electric field strengths E/n0 was studied theoretically and by numerical examples. Corrections for Blanc’s law that include effects of inelastic collisions were derived. In addition we have derived the common mean energy procedure that was proposed by Chiflikyan in a general case both for ions and electrons. Both corrected common E/n0 and common mean energy procedures provide excellent results even for electrons at moderate E/n0 where application of Blanc’s law was regarded as impossible. In mixtures of two gases that have negative differential conductivity (NDC) even when neither of the two pure gases show NDC the Blanc’s law procedure was able to give excellent predictions.


Field Strength Excellent Result Electric Field Strength Drift Velocity Density Ratio 
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  1. 1.
    A. Blanc, J. Phys. 7, 825 (1908)Google Scholar
  2. 2.
    Z.Lj. Petrović, Aust. J. Phys. 39, 237 (1986)Google Scholar
  3. 3.
    L.G.H. Huxley, R.W. Crompton, The Diffusion and Drift of Electrons in Gases (Wiley-Interscience, New York, 1974)Google Scholar
  4. 4.
    E.W. McDaniel, Collision Phenomena in Ionized Gases (John Wiley & Sons, New York, 1964)Google Scholar
  5. 5.
    H.B. Milloy, R.E. Robson, J. Phys. B: At. Mol. Phys. 6, 1139 (1973)CrossRefGoogle Scholar
  6. 6.
    E.A. Mason, H. Hahn, Phys. Rev. A 5, 438 (1972)CrossRefGoogle Scholar
  7. 7.
    J.H. Whealton, E.A. Mason, R.E. Robson, Phys. Rev. A 9, 1017 (1974)CrossRefGoogle Scholar
  8. 8.
    Z.Lj. Petrović, Ph.D. dissertation, Australian National University, 1985, unpublishedGoogle Scholar
  9. 9.
    R.V. Chiflikyan, Phys. Plasmas 2, 3902 (1995)CrossRefGoogle Scholar
  10. 10.
    R.E. Robson, J. Chem. Phys. 85, 4486 (1986)CrossRefGoogle Scholar
  11. 11.
    S.B. Vrhovac, Z.Lj. Petrović, Phys. Rev. E 53, 4012 (1996)Google Scholar
  12. 12.
    Y. Wang, R.J. VanBrunt, Phys. Plasmas 4, 551 (1997)CrossRefGoogle Scholar
  13. 13.
    Z.Lj. Petrović, R.W. Crompton, G.N. Haddad, Aust. J. Phys. 37, 23 (1984)Google Scholar
  14. 14.
    R.E. Robson, Aust. J. Phys. 37, 35 (1984)Google Scholar
  15. 15.
    B. Shizgal, Chem. Phys. 147, 271 (1990)CrossRefGoogle Scholar
  16. 16.
    W.L. Morgan, B.M. Penetrante, Comp. Phys. Commun. 58, 127 (1990)CrossRefzbMATHGoogle Scholar
  17. 17.
    D.K. Gibson, Aust. J. Phys. 23, 683 (1970)Google Scholar
  18. 18.
    W.L. Morgan, Tech. Rep., Kinema Software, Monument, CO (1993)Google Scholar
  19. 19.
    B. Shizgal, J. Phys. B: At. Mol. Opt. Phys. 24, 2909 (1991)CrossRefGoogle Scholar
  20. 20.
    R.V. Chiflikyan, Phys. Plasmas 7, 2704 (2000)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin/Heidelberg 2004

Authors and Affiliations

  • J. V. Jovanović
    • 1
    • 2
  • S. B. Vrhovac
    • 1
    Email author
  • Z. Lj Petrović
    • 1
  1. 1.Institute of PhysicsZemun, BelgradeSerbia and Montenegro
  2. 2.Faculty of Mechanical EngineeringBelgradeSerbia and Montenegro

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