Astronomy and Astrophysics – Astronomy
Scientific paper
Oct 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010acasn..51..329g&link_type=abstract
Acta Astronomica Sinica, vol. 51, no. 4, p. 329-335
Astronomy and Astrophysics
Astronomy
Plasmas, Relativistic Processes, Methods: Miscellaneous
Scientific paper
In the case of relativistic regime, the dispersion equation of longitudinal oscillation for fast electron distribution is derived from the longitudinal permittivity in unmagnetized, collisionless and isotropic plasmas. The equation is analytically solved, then the long-wavelength and short-wavelength dispersion relations are obtained. Because the analytical dispersion curves are discontinuous, the dimensionless dispersion equation is numerically calculated and a full dispersion curve is obtained. Furthermore, by fitting the numerical solutions, a simple function expression of the dispersion curve is given. This is easier to use. Finally, in the case of ultra-relativistic regime, the dispersion relation of fast electron distribution is compared with that of the Maxwell distribution. It is shown that these two dispersion relations share a similar property in a certain range of wave number.
Guo Hong-Mei
Liu Si-Qi
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