Resonance Broadening and Heating of Charged Particles in Magnetohydrodynamic Turbulence

TL;DR

This study investigates how charged particles are heated and scattered by MHD turbulence, using simulations to calibrate analytical models and identify dominant processes like TTD and Fermi B interactions.

Contribution

The paper introduces calibrated analytical expressions for particle diffusion coefficients in MHD turbulence, highlighting the roles of TTD and Fermi B interactions in particle heating.

Findings

TTD resonance broadening is Gaussian in time.

Electrons are mainly heated by TTD, ions by Fermi B.

Proton heating rates match turbulent cascade rates.

Abstract

The heating, acceleration, and pitch-angle scattering of charged particles by MHD turbulence are important in a wide range of astrophysical environments, including the solar wind, accreting black holes, and galaxy clusters. We simulate the interaction of high-gyrofrequency test particles with fully dynamical simulations of subsonic MHD turbulence, focusing on the parameter regime with beta ~ 1, where beta is the ratio of gas to magnetic pressure. We use the simulation results to calibrate analytical expressions for test particle velocity-space diffusion coefficients and provide simple fits that can be used in other work. The test particle velocity diffusion in our simulations is due to a combination of two processes: interactions between particles and magnetic compressions in the turbulence (as in linear transit-time damping; TTD) and what we refer to as Fermi Type-B (FTB) interactions, in which charged particles moving on field lines may be thought of as beads spiralling around moving wires. We show that test particle heating rates are consistent with a TTD resonance which is broadened according to a decorrelation prescription that is Gaussian in time. TTD dominates the heating for v_s >> v_A (e.g. electrons), where v_s is the thermal speed of species s and v_A is the Alfven speed, while FTB dominates for v_s << v_A (e.g. minor ions). Proton heating rates for beta ~ 1 are comparable to the turbulent cascade rate. Finally, we show that velocity diffusion of collisionless, large gyrofrequency particles due to large-scale MHD turbulence does not produce a power-law distribution function.