Hostname: page-component-78c5997874-lj6df Total loading time: 0 Render date: 2024-11-20T05:34:49.508Z Has data issue: false hasContentIssue false
  • English
  • Français

Nonlinear dynamics of the filamentation of the resistive instability of a current-carrying plasma

Published online by Cambridge University Press:  01 June 2008

A. R. NIKNAM  and
B. SHOKRI
A. R. NIKNAM
Affiliation:
Physics department and Laser-Plasma Research Institute of Shahid Beheshti University, Evin, 1983963113 Tehran, Iran
B. SHOKRI
Affiliation:
Physics department and Laser-Plasma Research Institute of Shahid Beheshti University, Evin, 1983963113 Tehran, Iran Institute for Studies in Theoretical Physics and Mathematics, 19395-1795 Tehran, Iran ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

The filamentation of the resistive instability in a weakly ionized quasi-neutral current-carrying plasma in the diffusion frequency region in the nonlinear regime is investigated. By using the magnetohydrodynamics equations and Ampere's law and assuming that the plasma is non-isothermal and inhomogeneous, the evolution of the magnetic field diffusion into the plasma is described by the Lienard nonlinear differential equation. Furthermore, it is shown that the departure of the profiles of the magnetic field and electron density variation from a sinusoidal shape in the nonlinear regime and a transverse filamentation and density steepening can occur in the static limit. Also, it is shown that the shape of the transverse filamentation can vary in this regime depending on the gradient of the magnetic field.

Type
Papers
Information
Journal of Plasma Physics , Volume 74 , Issue 3 , June 2008 , pp. 319 - 326
Copyright
Copyright © Cambridge University Press 2007

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1]Krall, N. A. and Trivelpiece, A. W. 1973 Principles of Plasma Physics. New York: McGraw-Hill.CrossRefGoogle Scholar
[2]Barrault, M. R. and Craig, A. D. 1972 J. Phys. D: Appl. Phys. 5, 525.CrossRefGoogle Scholar
[3]Kingsep, A. S., Rudakov, L. I. and Chukbar, K. V. 1982 Sov. Phys. Dokl. 27, 140.Google Scholar
[4]Kingsep, A. S., Mokhov, Yu. V. and Chukbar, K. V. 1984 Sov. J. Plasma Phys. 10, 140.Google Scholar
[5]Zaburdaev, V. Yu. 2000 Plasma Phys. Rep. 26, 462.Google Scholar
[6]Smolyakov, A. I. and Khabibrakhmanov, I. 1998 Phys. Rev. Lett. 81, 4871.CrossRefGoogle Scholar
[7]Tuszewski, M. 1996 Phys. Rev. Lett. 77, 1286.CrossRefGoogle Scholar
[8]Cohen, R. H. and Rognlien, T. D. 1996 Phys. Plasmas 3, 1839.Google Scholar
[9]Peter, W., Ron, A. and Rostoker, N. 1983 Phys. Fluids 26, 2276.Google Scholar
[10]Mehlhorn, T. A. 1997 IEEE Trans. Plasma Sci. 25, 1336.Google Scholar
[11]Phillips, K. J. H. 2000 Plasma Phys. Control. Fusion 42, 113.Google Scholar
[12]Gordeev, A. V., Kingsep, A. S. and Rudakov, L. I. 1994 Phys. Rep. 243, 215.CrossRefGoogle Scholar
[13]Cloutier, P. A. 1984 J. Geophys. Res. 89, 2401.Google Scholar
[14]Arad, R., Tsigutkin, K. and Maron, Y. 2003 Phys. Plamas 10, 112.CrossRefGoogle Scholar
[15]Smolyakov, A., Godyak, V. and Duffy, A. 2000 Phys. Plamas 7, 4755.Google Scholar
[16]Mendel, C. W. and Goldstein, S. A. 1977 J. Appl. Phys. 48, 1004.CrossRefGoogle Scholar
[17]Ottinger, P. F., Goldstein, S. A. and Meger, R. A. 1984 J. Appl. Phys. 56, 774.CrossRefGoogle Scholar
[18]Chuvatin, A. and Etlicher, B. 1995 Phys. Rev. Lett. 74, 2965.Google Scholar
[19]Weingatern, A., Arad, R., Maron, Y. and Fruchtman, A. 2001 Phys. Rev. Lett. 87, 115004-1.Google Scholar
[20]Arad, R., Tsigutkin, K., Maron, Y. and Fruchtman, A. 2004 Phys. Plamas 11, 4515.Google Scholar
[21]Shpitalnik, R., Weingatern, A., Gomberoff, K., Krasik, Ya. and Maron, Y. 1998 Phys. Plamas 5, 792.CrossRefGoogle Scholar
[22]Weibel, E. 1959 Phys. Rev. lett. 2, 83.CrossRefGoogle Scholar
[23]Shokri, B., Khorashadi, S. M. and Dastmalchi, M. 2002 Phys. Plamas 9, 3355.CrossRefGoogle Scholar
[24]Shokri, B. and Jazi, B. 2002 Phys. Lett. A 300, 432.Google Scholar
[25]Shokri, B. and Khorashadizadeh, S. M. 2004 Phys. Lett. A 320, 417.Google Scholar
[26]Alexandrov, A. F., Bogdankevich, L. S. and Rukhadze, A. A. 1984 Principles of Plasma Electrodynamic. New York: Springer.CrossRefGoogle Scholar
[27]Raizer, Yu. P. 1991 Gas Discharge Physics. New York: Springer.CrossRefGoogle Scholar
[28]Polyanin, A. and Zaitsev, V. F. 2003 Handbook of Exact Solutions for Ordinary Differential Equations: Boca Raton, FL: Chapman-Hall/CRC.Google Scholar