skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Electrostatic normal modes in nonneutral plasmas

Journal Article · · AIP Conference Proceedings
DOI:https://doi.org/10.1063/1.47907· OSTI ID:21153816
 [1]
  1. Enigmatix, Inc., P.O. Box 11834, Washington DC 20008 (United States)

A fluid description is employed to derive the dispersion relation for modes near the cyclotron frequency {omega} in a nonuniform cylindrical nonneutral plasma of radius R with finite temperature confined by a uniform magnetic field B=B0ez. In contrast to the theory of Gould and LaPointe, the model includes the diamagnetic drift but omits finite-Larmor-radius effects. The eigenfrequencies for high-frequency electrostatic modes with wavevectors satisfying k {center_dot} B=0 (Bernstein modes) are found in the form {omega}=-{omega}+{delta}{omega}. Solutions are obtained and compared with experiment and the theory of Gould and LaPointe. The present theory predicts that at a given temperature modes with m > or approx.1 propagate only when the density is less than a critical value that increases with m, and that {delta}{omega} normalized by the diocotron frequency depends only on the ratio of the Debye length to the plasma radius and hence is independent of B and the particle mass.

OSTI ID:
21153816
Journal Information:
AIP Conference Proceedings, Vol. 331, Issue 1; Conference: Non-neutral plasma physics II: Berkeley workshop on non-neutral plasmas in traps, Berkeley, CA (United States), 17-20 Jul 1994; Other Information: DOI: 10.1063/1.47907; (c) 1995 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
Country of Publication:
United States
Language:
English