Plasma and Fusion Research

Volume 3, 046 (2008)

Regular Articles


Experimental Parameters of Fine Particle Plasmas Explicitly Expressed by Dimensionless Characteristic Parameters
Hiroo TOTSUJI
Graduate School of Natural Science and Technology and Faculty of Engineering,Okayama University, Okayama 700-8530, Japan
(Received 15 May 2008 / Accepted 21 June 2008 / Published 20 August 2008)

Abstract

Experimental parameters of fine particle plasmas, densities and temperatures of components and the fine particle size, are explicitly expressed in terms of dimensionless characteristic parameters, such as Coulomb coupling and strength of screening, and typical examples are given. Though characteristic parameters are readily obtained from experimental parameters, the reverse is not trivial and it is shown that the charge neutrality condition limits the characteristic parameters realized by fine particle plasmas within the domain (a/λ)2 /(Γ/A) ≥ 3. Here, a and λ are the mean distance between fine particles and the screening length, respectively, Γ = (Qe)2 /akBTp is the Coulomb coupling of fine particles, and A = (neTe + niTi)/npTp is the ratio of the ideal gas pressures of ambient plasma (of ions and electrons) and fine particles.


Keywords

fine particle (dusty) plasma, dimensionless characteristic parameter, Yukawa one-component plasma (OCP) model, Coulomb coupling

DOI: 10.1585/pfr.3.046


References

  • [1] For example, M.O. Robbins, K. Kremer and G.S. Grest, J. Chem. Phys. 88, 3286 (1988) and References therein.
  • [2] S. Hamaguchi and R.T. Farouki, J. Chem. Phys. 101, 9876 (1994).
  • [3] Y. Rosenfeld, Phys. Rev. E49, 4425 (1994).
  • [4] H. Totsuji, C. Totsuji, T. Ogawa and K. Tsuruta, Phys. Rev. E 71, 045401(R)(2005); H. Totsuji, T. Ogawa, C. Totsuji and K. Tsuruta, Phys. Rev. E 72, 036406 (2005).
  • [5] M. Nambu, S.V. Vladimirov and P.K. Shukla, Phys. Lett. A 230, 40 (1995).
  • [6] F. Melandso and J. Goree, Phys. Rev. E 52, 5312 (1995).
  • [7] G. Lapenta, Phys. Rev. E 66, 026409 (2002).
  • [8] U. Konopka, L. Ratke and H.M. Thomas, Phys. Rev. Lett. 79, 1269 (1997).
  • [9] U. Konopka, G.E. Morfill and L. Ratke, Phys. Rev. Lett. 84, 891 (2000).
  • [10] R. Kompaneets, U. Konopka, A. Ivlev, V. Tsytovich and G. Morfill, Phys. Plasmas 14, 052108 (2007).
  • [11] For example, S. Zhadanov, S. Nunomura, D. Samsonov and G. Morfill, Phys. Rev. E 68, 035401(R)(2003).
  • [12] For example, V.E. Fortov, A.V. Ivlev, S.A. Khrapak, A.G. Khrapak and G.E. Morfill, Phys. Reports 421, 1 (2005).
  • [13] O. Arp, D. Block, A. Piel and A. Melzer, Phys. Rev. Lett. 93, 165004 (2004).
  • [14] For example, V.N. Tsytovich, Y.K. Khodatev and R. Bingham, Commun. Plasma Phys. Control. Fusion 17, 249 (1996).
  • [15] J.E. Daugherty, R.K. Porteous, M.D. Kilgore and D.B. Graves, J. Appl. Phys. 72, 3934 (1992).
  • [16] B. Deryagin and L. Landau, Acta Phys.-chim. USSR 14, 633 (1941).
  • [17] E.J.W. Verwey and J. Th. G. Overbeek, Theory of the Stability of Lyophobic Colloids (Elsevier, New York, 1948).
  • [18] For example, J.E. Allen, Phys. Scripta 45, 497 (1992); J. Goree, Plasma Sources Sci. Tech. 3, 400 (1994).
  • [19] O. Havnes C.K. Goertz, G.E. Morfill, E. Grun and W. Ip, J. Geophys. Res. 92, 2281 (1987).
  • [20] H. Totsuji, J. Phys. A: Math. Gen. 39, 4565 (2006).
  • [21] H. Totsuji, Non-Neutral Plasma Physics VI, Workshop on Non-Neutral Plasmas 2006, eds. M. Drewsen, U. Uggerhøj and H. Knudsen, AIP Conference Proceedings 862, (American Institute of Physics, New York, 2006) p.248.
  • [22] H. Totsuji, Phys. Plasmas 15, 072111 (2008).
  • [23] M. Lampe, R. Goswami, Z. Sternovsky, S. Robertson, V. Gavrishchaka, G. Ganguli, G. Joyce, Phys. Plasmas 10, 1500(2003); V.E. Fortov, A.V. Ivlev, S.A. Khrapak, A.G. Khrapak, G.E. Morfill, Physics Report 421, 1 (2005) Section 3 and References therein.

This paper may be cited as follows:

Hiroo TOTSUJI, Plasma Fusion Res. 3, 046 (2008).