The Study of Thermal Conditions on Weibel Instability

Abstract EN

Weibel electromagnetic instability has been studied analytically in relativistic plasma with high parallel temperature, where | α = ( m c 2 / T ∥ ) ( 1 + p ^ ⊥ 2 / m 2 c 2 ) 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 ′ / c k ) | ≪ 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 / m 2 c 2 ) 1 / 2 leads to the increase of the Weibel instability growth rate.