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

Title: Weibel instability with non-Maxwellian distribution functions

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.2536159· OSTI ID:20974823
;  [1]
  1. Salam Chair in Physics, Department of Physics, G. C. University Lahore, Punjab 54000 (Pakistan)

The Weibel instability in an unmagnetized plasma is investigated for non-Maxwellian distribution functions. In particular, analytical expressions are derived for the real and imaginary parts of the dielectric constant for the Maxwellian, kappa ({kappa}), and (r,q) distribution functions under the conditions of {xi}={omega}/k{sub parallel}{theta}{sub parallel}>>1 and <<1. The real frequency and the growth rate of the instability now depend upon the values of the spectral indices of the distribution functions. In general, the growth rate is suppressed for small values of {kappa} and q (keeping r fixed) and for negative values of r (keeping q fixed) instability transforms into damping. In the limiting cases (i) {kappa}{yields}{infinity} and (ii) r=0, q{yields}{infinity}, the results approach to the Maxwellian situation.

OSTI ID:
20974823
Journal Information:
Physics of Plasmas, Vol. 14, Issue 2; Other Information: DOI: 10.1063/1.2536159; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
Country of Publication:
United States
Language:
English

Similar Records

Weibel instability with semirelativistic Maxwellian distribution function
Journal Article · Sun Jul 15 00:00:00 EDT 2007 · Physics of Plasmas · OSTI ID:20974823

Collisional effect on the Weibel instability with the bi-Maxwellian distribution function
Journal Article · Wed May 15 00:00:00 EDT 2013 · Physics of Plasmas · OSTI ID:20974823

On the existence of Weibel instability in a magnetized plasma. I. Parallel wave propagation
Journal Article · Thu Jan 15 00:00:00 EST 2009 · Physics of Plasmas · OSTI ID:20974823