Weibel instability in relativistically hot magnetized electron-positron plasmas

Details Weibel instability in relativistically hot magnetized electron-positron plasmas Weibel instability in relativistically hot magnetized electron-positron plasmas

Sep 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phflb...5.3369y&link_type=abstract

Physics of Fluids B (ISSN 0899-8221), vol. 5, no. 9, p. 3369-3387.

Physics

32

Electron-Positron Plasmas, High Temperature Plasmas, Magnetohydrodynamic Stability, Plasma-Electromagnetic Interaction, Weibel Instability, Particle Acceleration, Relativistic Plasmas, Shock Wave Propagation

Scientific paper

A linear stability analysis is carried out for the Weibel instability in relativistic magnetized electron-positron-pair plasmas, with the propagation direction parallel to the background magnetic field. The instability in the ultrarelativistic regime, with the typical Lorentz factor T much greater than unity, is emphasized for its relevance to astrophysical sources of synchrotron radiation. Detailed stability properties are examined, in the ultrarelativistic regime, for two model distribution functions, the water-bag distribution function, and a smooth distribution function. The dispersion relations are obtained in closed analytic forms for both distribution functions. The necessary and sufficient conditions for instability are determined when the temperature along the background magnetic field is cold (T-parallel = 0). The dispersion relations are solved numerically with T-parallel does not equal 0 over a wide range of system parameters to determine the detailed dependence of the instability on the strength of the background magnetic field and the temperature anisotropy. The present analysis shows that both a decrease in temperature anisotropy and an increase in the background magnetic field can cause a significant decrease in growth rate.

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