Parallel and perpendicular diffusion coefficients of energetic charged particles with adiabatic focusing

Abstract

It is very important to understand stochastic diffusion of energetic charged particles in non-uniform background magnetic field in plasmas of astrophysics and fusion devices. Using different methods considering along-field adiabatic focusing effect, various authors derived parallel diffusion coefficient ${\kappa }_{\parallel }$ and its correction $T$ to ${\kappa }_{\parallel 0}$, where ${\kappa }_{\parallel 0}$ is the parallel diffusion coefficient without adiabatic focusing effect. In this paper, using the improved perturbation method developed by He \& Schlickeiser and iteration process, we obtain a new correction $T^{\prime }$ to ${\kappa }_{\parallel 0}$. Furthermore, by employing the isotropic pitch-angle scattering model $D_{\mu \mu }=D(1-{\mu }^2)$, we find that $T^{\prime }$ has the different sign as that of $T$. In this paper the spatial perpendicular diffusion coefficient ${\kappa }_{\perp }$ with the adiabatic focusing effect is also obtained.

References in corpus (4)

• Analytical description of stochastic field-line wandering in magnetic turbulence
• Pitch-angle scattering of energetic particles with adiabatic focusing
• Perpendicular diffusion coefficient of cosmic rays in the presence of weak adiabatic focusing
• Magnetic field line random walk in two-dimensional dynamical turbulence

Cited by in corpus (4)

• A Primer on Focused Solar Energetic Particle Transport: Basic physics and recent modelling results
• 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
• Study of momentum diffusion with the effect of adiabatic focusing