Analytics

"Non-Linear Saturation of Weibel Instability with Temperature Effects"

We present a comprehensive analytical study of the non-linear saturation of Weibel instability within the non-relativistic regime, focusing on the impact of varying plasma species temperatures. We investigate two distinct scenarios: one where ions are treated as a stationary background, and another where both electrons and ions actively contribute to the saturation process. Our analysis covers all possible combinations of temperature variations in a two-dimensional configuration space and two-dimensional velocity space, as well as a simplified lower-dimensional case with a single configuration space and two velocity dimensions. This research contributes to the understanding of the relationships between temperature variations and the non-linear saturation of Weibel instability, with potential applications in plasma-based technologies and astrophysical phenomena.