Generalized dispersion relation for electron Bernstein waves in a non-Maxwellian magnetized anisotropic plasma

Journal Article · Fri Oct 15 00:00:00 EDT 2010 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.3503606· OSTI ID:21421240

Deeba, F ^[1]; Ahmad, Zahoor ^[1]; Murtaza, G ^[2]

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1. National Tokamak Fusion Program, PAEC, P.O. Box 3329, Islamabad 44000 (Pakistan)
2. Salam Chair in Physics, G. C. University, Lahore 54000 (Pakistan)

A generalized dielectric constant for the electron Bernstein waves using non-Maxwellian distribution functions is derived in a collisionless, uniform magnetized plasma. Using the Neumann series expansion for the products of Bessel functions, we can derive the dispersion relations for both kappa and the generalized (r,q) distributions in a straightforward manner. The dispersion relations now become dependent upon the spectral indices {kappa} and (r,q) for the kappa and the generalized (r,q) distribution, respectively. Our results show how the non-Maxwellian dispersion curves deviate from the Maxwellian depending upon the values of the spectral indices chosen. It may be noted that the (r,q) dispersion relation is reduced to the kappa distribution for r=0 and q={kappa}+1, which, in turn, is further reducible to the Maxwellian distribution for {kappa}{yields}{infinity}.

• OSTI ID: 21421240
• Journal Information: Physics of Plasmas, Vol. 17, Issue 10; Other Information: DOI: 10.1063/1.3503606; (c) 2010 American Institute of Physics; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ANISOTROPY
BERNSTEIN MODE
BESSEL FUNCTIONS
DISPERSION RELATIONS
DISTRIBUTION FUNCTIONS
ELECTRONS
NEUMANN SERIES
PERMITTIVITY
PLASMA
PLASMA WAVES
DIELECTRIC PROPERTIES
ELECTRICAL PROPERTIES
ELEMENTARY PARTICLES
FERMIONS
FUNCTIONS
LEPTONS
OSCILLATION MODES
PHYSICAL PROPERTIES
SERIES EXPANSION