Proceedings of the Indian Academy of Sciences - Section A

, Volume 72, Issue 3, pp 134–143

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


  • S. Narasimha Murthy
    • Department of Applied MathematicsIndian Institute of Science

DOI: 10.1007/BF03049843

Cite this article as:
Murthy, S.N. Proc. Indian Acad. Sci. (1970) 72: 134. doi:10.1007/BF03049843


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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© Indian Academy of Sciences 1970