“…where n i denotes the electron density of component i, θ ‖i and θ ⊥i denote parallel and perpendicular thermal velocities with respect to the background magnetic field, respectively. Δ i and β i are dimensionless characteristic parameters to describe the depth and width of the loss cone (e.g., Ashour-Abdalla & Kennel, 1978;Gao et al, 2021;Gao, Shang, et al, 2020;Summers & Thorne, 1995;Zhou et al, 2017). The parameters Δ and β are used to represent the loss-cone feature of the electron distribution, which is different from the "loss cone angle" determined by the background magnetic field configuration.…”