Collisional effect on the Weibel instability with the bi-Maxwellian distribution function

摘要

In this paper, the Coulomb collision effect of electron-ion is investigated based on the equilibrium bi-Maxwellian anisotropic distribution function in dense and unmagnetized plasma. An analytical expression is derived for the real frequency and the growth rate of the Weibel instability for two limiting cases | ξ = ω ′ k | | θ | | | ? 1 and | ξ | ? 1. In the limit | ξ | ? 1, the quantity η that is due to a collisional term will appear in the growth and condition of the rate of the Weibel instability, which leads to a constraining condition of the growth rate. When η increases, the growth rate will increase and the wave instability will be distant from its own damping mode.