Skip to main content
SpringerLink
Log in

On the influence of dissipative effects on instabilities of differentially-rotating plasmas

  • Statistical, Nonlinear, and Soft Matter Physics
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

The stability of differentially-rotating cylindrical plasmas in the axial homogeneous magnetic field is studied in the framework of one-fluid dissipative magnetohydrodynamics. The dispersion relation of small-scale axisymmetric perturbations, taking into account the effects of the plasma thermal stratification, its resistivity and its viscosity, is derived. In the limiting cases of negligible resistivity and of negligible viscosity, the criteria of plasma stability are obtained. It is shown that in the case of small viscosity, the azimuthal flow of resistive plasma in the axial magnetic field is unstable due to the buoyancy effect if both the plasma pressure and its entropy either increase or decrease in the radial direction.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. S. A. Balbus and J. F. Hawley, Rev. Mod. Phys. 70, 1 (1998).

    Article  ADS  Google Scholar 

  2. S. A. Balbus, Annu. Rev. Astron. Astrophys. 41, 555 (2003).

    Article  ADS  Google Scholar 

  3. A. B. Mikhailovskii, J. G. Lominadze, A. P. Churikov, and V. D. Pustovitov, Fiz. Plazmy (Moscow) 35(4), 307 (2009) [Plasma Phys. Rep. 35 (4), 273 (2009)].

    Google Scholar 

  4. E. P. Velikhov, Zh. Éksp. Teor. Fiz. 36, 1398 (1959) [Sov. Phys. JETP 9, 995 (1959)].

    Google Scholar 

  5. S. A. Balbus and J. F. Hawley, Astrophys. J. 376, 214 (1991).

    Article  ADS  Google Scholar 

  6. H. Ji, J. Goodman, and A. Kageyama, Mon. Not. R. Astron. Soc. 325, L1 (2001).

    Article  ADS  Google Scholar 

  7. K. Noguchi, V. I. Pariev, S. A. Colgate, H. F. Beckley, and J. Nordhaus, Astrophys. J. 575, 1151 (2002).

    Article  ADS  Google Scholar 

  8. G. Rüdiger and Y. Zhang, Astron. Astrophys. 378, 302 (2001).

    Article  MATH  ADS  Google Scholar 

  9. E. P. Velikhov, A. A. Ivanov, V. P. Lakhin, and K. S. Serebrennikov, Phys. Lett. A 356, 357 (2006).

    Article  MATH  ADS  Google Scholar 

  10. S. A. Balbus and J. F. Hawley, Astrophys. J. 573, 749 (2002).

    Article  ADS  Google Scholar 

  11. R. Narayan, E. Quataert, I. V. Igumenshchev, and M. A. Abramowicz, Astrophys. J. 577, 295 (2002).

    Article  ADS  Google Scholar 

  12. K. Noguchi and V. I. Pariev, AIP Conf. Proc. 692, 285 (2003).

    Article  ADS  Google Scholar 

  13. Z. Wang, J. Si, W. Liu, and H. Li, Phys. Plasmas 15, 102109 (2008).

    Article  ADS  Google Scholar 

  14. F. R. Gantmakher, Lectures in Analytical Mechanics (Nauka, Moscow, 1966; Mir, Moscow, 1975).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Russian Research Centre “Kurchatov Institute,”, Moscow, 123182, Russia

    V. P. Lakhin & V. I. Ilgisonis

Authors
  1. V. P. Lakhin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. I. Ilgisonis
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. P. Lakhin.

Additional information

Original Russian Text © V.P. Lakhin, V.I. Ilgisonis, 2010, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2010, Vol. 137, No. 4, pp. 783–788.

The article was translated by the authors.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lakhin, V.P., Ilgisonis, V.I. On the influence of dissipative effects on instabilities of differentially-rotating plasmas. J. Exp. Theor. Phys. 110, 689–693 (2010). https://doi.org/10.1134/S1063776110040151

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063776110040151

Keywords

Search

Navigation