Nonlinear diocotron mode

Journal Article · Tue Jul 01 04:00:00 EDT 1986 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.865557· OSTI ID:5727493

Prasad, S A; Malmberg, J H

A perturbation procedure for the construction of a nonlinear diocotron mode of an infinite length cylindrical pure electron plasma column is presented. The plasma is modeled as a cold fluid executing E x B drift in a strong axial magnetic field. The mode has no axial variation and depends on theta (azimuthal angle) and t (time) through the combination theta-..cap omega..t. Thus the potential and the density are stationary in the frame rotating with angular frequency ..cap omega... In this frame, the potential satisfies the relation del/sup 2/phi = F(phi) where F is a function of phi only. This equation is solved perturbatively to determine a nonlinear mode supported by a cylindrically symmetric equilibrium density profile. The properties of the mode depend only on the offset of the plasma column from the axis of the bounding conducting cylinder and the frequency of the mode is larger than the value predicted by linear theory by an amount roughly proportional to the square of the offset.

• Research Organization: University of California at Los Angeles, Los Angeles, California 90024
• DOE Contract Number: AM03-76SF00010
• OSTI ID: 5727493
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 29:7; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

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700107* -- Fusion Energy-- Plasma Research-- Instabilities
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CYLINDRICAL CONFIGURATION
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ELECTRONS
ELEMENTARY PARTICLES
FERMIONS
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LEPTONS
MAGNETIC FIELDS
NONLINEAR PROBLEMS
PERTURBATION THEORY
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PLASMA INSTABILITY
PLASMA MICROINSTABILITIES
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SIMULATION