Study of momentum diffusion with the effect of adiabatic focusing

Abstract

Momentum diffusion of the energetic charged particles is an important mechanism of the transport process in astrophysics, physics of the fusion devices, and laboratory plasmas. In addition to the uniform field momentum diffusion, we obtain the modifying term due to the focusing effect of the large-scale magnetic field. After evaluating the modifying term, we find that it is determined by the sign of the focusing characteristic length and the Fokker-Planck coefficients $D_{\mu \mu }$, $D_{\mu p}$, $D_{p\mu }$, and $D_{pp}$. It is shown that we get a new second order acceleration mechanism in this work.

Published in The Astrophysical Journal Supplement Series, 257:44 (34pp), 2021 December

References in corpus (5)

• On the Momentum Diffusion of Radiating Ultrarelativistic Electrons in a Turbulent Magnetic Field
• An Exact Solution of the Fokker-Planck Equation for Isotropic Scattering
• The role of diffusion in the transport of energetic electrons during solar flares
• Diffusion coefficient with displacement variance of energetic particles with adiabatic focusing
• The invariance of the diffusion coefficient with the iterative operations of charged particles' transport equation