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Advances in High Energy Physics
Volume 2015, Article ID 428013, 6 pages
http://dx.doi.org/10.1155/2015/428013
Research Article

The Study of Thermal Conditions on Weibel Instability

Physics Department, University of Mazandaran, P.O. Box 47415-416, Babolsar, Iran

Received 28 June 2015; Revised 22 August 2015; Accepted 26 August 2015

Academic Editor: Ming Liu

Copyright © 2015 M. Mahdavi and H. Khanzadeh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

Weibel electromagnetic instability has been studied analytically in relativistic plasma with high parallel temperature, where and while the collision effects of electron-ion scattering have also been considered. According to these conditions, an analytical expression is derived for the growth rate of the Weibel instability for a limiting case of , where is the sum of the wave frequency of instability and the collision frequency of electrons with background ions. The results show that in the limiting condition there is an unusual situation of the Weibel instability so that , while in the classic Weibel instability . The obtained results show that the growth rate of the Weibel instability will be decreased due to an increase in the number of collisions and a decrease in the anisotropic temperature by the increasing of plasma density, while the increase of the parameter leads to the increase of the Weibel instability growth rate.