Harmonic and anharmonic oscillations of a cylindrical plasma in the presence of a uniform axial magnetic field and a steady axial current

Devanathan, C and Uberoi, C (1963) Harmonic and anharmonic oscillations of a cylindrical plasma in the presence of a uniform axial magnetic field and a steady axial current. In: Proceedings of the Indian Academy of Sciences - Section A, 58 (4). pp. 244-256.

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Abstract

In the present note we have studied the harmonic and anharmonic oscillations of cylindrical plasma using Lagrangian formalism. In order to study the harmonic oscillations, the equations are linearized and the resulting equation for the displacement has been numerically solved. For situations present in thermonuclear reactors, the presence of axial magnetic field is found necessary to make the periods of oscillation to become comparable with the time required for the thermonuclear reactions to set in. A detailed analysis of the anharmonic oscillations reveals that the significant interaction is between the first and the second mode. The fundamental period of anharmonic oscillation is more than the corresponding period of harmonic oscillations by 9·2%. Graphs have been drawn for the amplitudes of relative variations in density and magnetic field and of the time-varying part of anharmonic oscillation.

Item Type:	Journal Article
Publication:	Proceedings of the Indian Academy of Sciences - Section A
Publisher:	Indian Academy of Sciences
Additional Information:	Copyright of this article belongs to Indian Academy of Sciences.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	02 Jun 2010 09:20
Last Modified:	19 Sep 2010 06:08
URI:	http://eprints.iisc.ac.in/id/eprint/28185

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