Stability of a cylindrical plasma in the presence of a monotonic field—II

  • S. Narasimha Murthy


The stability of an incompressible inviscid, perfectly conducting cylindrical plasma against azimuthal disturbances in the presence of a monotonic decreasing magnetic field having a constant pitch is discussed by using energy principle. The results obtained by this principle are compared form = 1 mode (which is a dangerous mode in which there is a lateral shift of the entire column) with that obtained by normal mode analysis. It is found thatm = 1 mode is always unstable. Further, an axial line current, external axial field and the surface tension tend to stabilisem ≠ modes.


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  1. 1.
    Chandrasekhar, S. and FermiAstro. Physik. Journal, 1953,118, 116.CrossRefMathSciNetGoogle Scholar
  2. 2.
    Kruskai, M. D., Johnson, J. L., Gottlie, M. B. and Goldman, L. M.Phys. Fluids, 1958,1, (5), 421.CrossRefMathSciNetGoogle Scholar
  3. 3.
    Newcomb, W. A...Anna. Phys., 1960,10, 232.MATHCrossRefGoogle Scholar
  4. 4.
    Tayler, R. J...Proc. Roy. Soc. (Lond.), 1957,70 B, 1049.Google Scholar
  5. 5.
    Narasimha Murthy, S. and Bhat, P. K. .. Under print inI.I.Sc. Journal, 1969.Google Scholar
  6. 6.
    Lundquist, S...Phys. Rev., 1951,83, 307.MATHCrossRefMathSciNetGoogle Scholar
  7. 7.
    Schuurman, W., Bobeldijk, C. and Devries, R. F.Plasma Physics, 1969,11, 495.CrossRefGoogle Scholar

Copyright information

© Indian Academy of Sciences 1970

Authors and Affiliations

  • S. Narasimha Murthy
    • 1
  1. 1.Department of Applied MathematicsIndian Institute of ScienceBangalore-12India

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