Charge distribution over dust particles configured with size distribution in a complex plasma

Regular Article
  • 60 Downloads

Abstract

A theoretical kinetic model describing the distribution of charge on the dust particles configured with generalized Kappa size distribution in a complex plasma has been developed. The formulation is based on the manifestation of uniform potential theory with an analytical solution of the master differential equation for the probability density function of dust charge; the number and energy balance of the plasma constituents are utilized in writing the kinetic equations. A parametric study to determine the steady state plasma parameters and the charge distribution corresponding to a size distribution of dust grains in the complex plasma has been made; the numerical results are presented graphically. The charge distribution is seen sensitive to the population of small grains in the particle size distribution and thus in contrast to symmetrical distribution of charge around a mean value for uniform sized grains, the charge distribution in the present case peaks around lower charge.

Graphical abstract

Keywords

Plasma Physics 

References

  1. 1.
    C. Whipple, Rep. Prog. Phys. 44, 1197 (1981) CrossRefADSGoogle Scholar
  2. 2.
    T.G. Northrop, J.R. Hill, J. Geophys. Res. 88, 01 (1983)CrossRefADSGoogle Scholar
  3. 3.
    C.K. Goertz, Rev. Geophys. 27, 271 (1989)CrossRefADSGoogle Scholar
  4. 4.
    M.R. Jana, A. Sen, P.K. Kaw, Phys. Rev. E 48, 3930 (1993) CrossRefADSGoogle Scholar
  5. 5.
    S.A. Khrapak, A.E. Nefedov, O.F. Petrov, O.S. Vaulina, Phys. Rev. E. 59, 6017 (1999) CrossRefADSGoogle Scholar
  6. 6.
    P.K. Shukla, A.A. Mamun, Introduction to Dusty Plasma Physics (Institute of Physics, Bristol, 2002)Google Scholar
  7. 7.
    S.V. Vladimirov, K. Ostrikov, A.A. Samarian, Physics and Applications of Complex Plasmas (Imperial College Press, London, 2005)Google Scholar
  8. 8.
    V.N. Tsytovich, G.E. Morfill, S.V. Vladimirov, H.M. Thomas, Elementary Physics of Complex Plasmas (Springer, Berlin, 2008)Google Scholar
  9. 9.
    S.K. Mishra, S. Misra, Phys. Plasmas. 21, 073706 (2014) CrossRefADSGoogle Scholar
  10. 10.
    M.S. Sodha, Kinetics of Complex Plasmas (Springer, India, 2014)Google Scholar
  11. 11.
    G.E. Morfill, E. Grun, T.V. Johnson, Planet. Space Sci. 28, 1087 (1980) CrossRefADSGoogle Scholar
  12. 12.
    C. Cui, J. Goree, IEEE Trans. Plasma Sci. 22, 151 (1994)CrossRefADSGoogle Scholar
  13. 13.
    M.S. Sodha, S.K. Mishra, S. Misra, S. Srivastava, Phys. Plasmas 17, 073705 (2010) CrossRefADSGoogle Scholar
  14. 14.
    N.G. Van Kampen, Stochastic Processes in Physics and Chemistry (North Holland, New York, 1990)Google Scholar
  15. 15.
    T. Matsoukas, M. Russel, J. Appl. Phys. 77, 4285 (1995) CrossRefADSGoogle Scholar
  16. 16.
    T. Matsoukas, M. Russel, M. Smith, J. Vac. Sci. Tech. A 14, 624 (1996)CrossRefADSGoogle Scholar
  17. 17.
    S.K. Mishra, S. Misra, M.S. Sodha, Phys. Plasmas 18, 103708 (2011) CrossRefADSGoogle Scholar
  18. 18.
    M.S. Sodha, S.K. Mishra, S. Misra, Phys. Scr. 83, 015502 (2011) CrossRefADSGoogle Scholar
  19. 19.
    S.K. Mishra, S. Misra, Phys. Plasmas 22, 023705 (2015) CrossRefADSGoogle Scholar
  20. 20.
    B.T. Draine, B. Sutin, Astrophys. J. 320, 803 (1987) CrossRefADSGoogle Scholar
  21. 21.
    J.S. Mathis, W. Rumpl, K.H. Nordsieck, Astrophys. J. 217, 425 (1977) CrossRefADSGoogle Scholar
  22. 22.
    N.F. Cramer, F. Verheest, S.V. Vladimirov, Phys. Plasmas 9, 4845 (2002)CrossRefADSGoogle Scholar
  23. 23.
    M.A. Raadu, IEEE Trans. Plasma Sci. 29, 182 (2001)CrossRefADSGoogle Scholar
  24. 24.
    M. Shafiq, Ph.D thesis Space and Plasma Physics, School of Electrical Engineering, Royal Institute of Technology, Stockholm (2006) Google Scholar
  25. 25.
    O. Havnes, T.K. Aanesen, F. Melandso, J. Geophys. Res. 95, 6581 (1990) CrossRefADSGoogle Scholar
  26. 26.
    H. Houpis, E.C. Whipple, J. Geophys. Res. 92, 12057 (1987) CrossRefADSGoogle Scholar
  27. 27.
    L. Bringol-Barge, T.W. Hyde, Adv. Space Res. 29, 1277 (2002) CrossRefADSGoogle Scholar
  28. 28.
    L. Bringol-Barge, T.W. Hyde, Adv. Space Res. 29, 1283 (2002) CrossRefADSGoogle Scholar
  29. 29.
    L. Bringol-Barge, T.W. Hyde, Adv. Space Res. 29, 1289 (2002) CrossRefADSGoogle Scholar
  30. 30.
    M.S. Sodha, S. Misra, S.K. Mishra, Phys. Plasmas 17, 113705 (2010) CrossRefADSGoogle Scholar
  31. 31.
    M.S. Sodha, S.K. Mishra, S. Misra, IEEE Trans. Plasma Sci. 39, 1141 (2011) CrossRefADSGoogle Scholar
  32. 32.
    M.S. Sodha, S.K. Mishra, S. Misra, J. Appl. Phys. 109, 013303 (2011) CrossRefADSGoogle Scholar
  33. 33.
    S. Misra, S.K. Mishra, M.S. Sodha, Mon. Not. Roy. Astron. Soc. 423, 176 (2012) CrossRefADSGoogle Scholar
  34. 34.
    S. Misra, S.K. Mishra, Mon. Not. Roy. Astron. Soc. 432, 2985 (2013) CrossRefADSGoogle Scholar
  35. 35.
    S.K. Mishra, M.S. Sodha, S. Srivastava, Astrophys. Space Sci. 344, 193 (2013) CrossRefADSGoogle Scholar
  36. 36.
    A.V. Gurevich, Nonlinear Phenomena in the Ionosphere (Springer, New York, 1978)Google Scholar
  37. 37.
    S.J. Bauer, Physics of Planetary Ionospheres (Springer, New York, 1973)Google Scholar
  38. 38.
    O. Havnes, T. Aslaksen, A. Brattli, Phys. Scr. T 89, 133 (2001)CrossRefADSGoogle Scholar
  39. 39.
    M.S. Sodha, S. Misra, S.K. Mishra, A. Dixit, Phys. Plasmas 18, 083708 (2010) CrossRefADSGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Centre of Energy Studies, Indian Institute of TechnologyNew DelhiIndia
  2. 2.Institute for Plasma Research (IPR)GandhinagarIndia
  3. 3.ELI-ALPSSzegedHungary

Personalised recommendations