HARMONIC AND ANHARMONIC OSCILLATIONS OF A CYLINDRICAL PLASMA IN THE PRESENCE OF A UNIFORM AXIAL MAGNETIC FIELD AND A STEADY AXIAL CURRENT

Journal Article · Tue Oct 01 04:00:00 EDT 1963 · Proc. Indian Acad. Sci. Sect. A

OSTI ID:4122067

Devanathan, C; Uberio, C

The harmonic and anharmonic oscilla ons of cylindrical plasma were investigated by means of Lagrangian formalism. In order to study the harmonic oscillations, the equations are linearized and the resulting equation for the displacement was numerically solved. For situations presert in thermonuclear reactors, the presence of axial magnetic field is found necessary to make the periods of oscillation 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 were drawn for the amplitudes of relative variations in density and magnetic field and of the time-varying part of anharmonic oscillation. (auth)

• Research Organization: Indian Inst. of Science, Bangalore, India
• NSA Number: NSA-18-006353
• OSTI ID: 4122067
• Journal Information: Proc. Indian Acad. Sci. Sect. A, Journal Name: Proc. Indian Acad. Sci. Sect. A Vol. Vol: 58
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

CONFIGURATION
CURRENTS
CYLINDERS
EQUATIONS
INTERACTIONS
MAGNETIC FIELDS
NUMERICALS
OSCILLATIONS
PHYSICS
PLASMA
REACTORS
THERMONUCLEAR REACTIONS