The Study of Thermal Conditions on Weibel Instability
Weibel electromagnetic instability has been studied analytically in relativistic plasma with high parallel temperature, where |α=(mc2/T∥)(1+p^⊥2/m2c2)1/2|≪1 and while the collision effects of electron-ion scattering have also been considered. According to these conditions, an analytical expression i...
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| Format: | Article |
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Wiley
2015-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/428013 |
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| author | M. Mahdavi H. Khanzadeh |
| author_facet | M. Mahdavi H. Khanzadeh |
| author_sort | M. Mahdavi |
| collection | DOAJ |
| description | Weibel electromagnetic instability has been studied analytically in relativistic plasma with high parallel temperature, where |α=(mc2/T∥)(1+p^⊥2/m2c2)1/2|≪1 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 |ζ=α/2(ω′/ck)|≪1, where ω′ 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 α≪1 there is an unusual situation of the Weibel instability so that T∥≫T⊥, while in the classic Weibel instability T∥≪T⊥. 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 γ^⊥=(1+p^⊥2/m2c2)1/2 leads to the increase of the Weibel instability growth rate. |
| format | Article |
| id | doaj-art-580516573df447f4a37b8974908d3888 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
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| series | Advances in High Energy Physics |
| spelling | doaj-art-580516573df447f4a37b8974908d38882025-02-03T05:59:33ZengWileyAdvances in High Energy Physics1687-73571687-73652015-01-01201510.1155/2015/428013428013The Study of Thermal Conditions on Weibel InstabilityM. Mahdavi0H. Khanzadeh1Physics Department, University of Mazandaran, P.O. Box 47415-416, Babolsar, IranPhysics Department, University of Mazandaran, P.O. Box 47415-416, Babolsar, IranWeibel electromagnetic instability has been studied analytically in relativistic plasma with high parallel temperature, where |α=(mc2/T∥)(1+p^⊥2/m2c2)1/2|≪1 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 |ζ=α/2(ω′/ck)|≪1, where ω′ 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 α≪1 there is an unusual situation of the Weibel instability so that T∥≫T⊥, while in the classic Weibel instability T∥≪T⊥. 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 γ^⊥=(1+p^⊥2/m2c2)1/2 leads to the increase of the Weibel instability growth rate.http://dx.doi.org/10.1155/2015/428013 |
| spellingShingle | M. Mahdavi H. Khanzadeh The Study of Thermal Conditions on Weibel Instability Advances in High Energy Physics |
| title | The Study of Thermal Conditions on Weibel Instability |
| title_full | The Study of Thermal Conditions on Weibel Instability |
| title_fullStr | The Study of Thermal Conditions on Weibel Instability |
| title_full_unstemmed | The Study of Thermal Conditions on Weibel Instability |
| title_short | The Study of Thermal Conditions on Weibel Instability |
| title_sort | study of thermal conditions on weibel instability |
| url | http://dx.doi.org/10.1155/2015/428013 |
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