Particle Energy Diffusion in Linear Magnetohydrodynamic Waves
arXiv:1904.08579 · doi:10.3847/1538-4357/ab1b13
Abstract
In high-energy astronomical phenomena, the stochastic particle acceleration by turbulences is one of the promising processes to generate non-thermal particles. In this paper, we investigate the energy-diffusion efficiency of relativistic particles in a temporally evolving wave ensemble that consists of a single mode (Alfvén, fast or slow) of linear magnetohydrodynamic waves. In addition to the gyroresonance with waves, the transit-time damping (TTD) also contributes to the energy-diffusion for fast and slow-mode waves. While the resonance condition with the TTD has been considered to be fulfilled by a very small fraction of particles, our simulations show that a significant fraction of particles are in the TTD resonance owing to the resonance broadening by the mirror force, which non-resonantly diffuses the pitch angle of particles. When the cutoff scale in the turbulence spectrum is smaller than the Larmor radius of a particle, the gyroresonance is the main acceleration mechanism for all the three wave modes. For the fast-mode, the coexistence of the gyroresonance and TTD resonance leads to anomalous energy-diffusion. For a particle with its Larmor radius smaller than the cutoff scale, the gyroresonance is negligible, and the TTD becomes the dominant mechanism to diffuse its energy. The energy-diffusion by the TTD-only resonance with fast-mode waves agrees with the hard-sphere-like acceleration suggested in some high-energy astronomical phenomena.
12 pages, 8 figures, accepted for publication in ApJ
References in corpus (12)
- Relativistic Jets Shine through Shocks or Magnetic Reconnection?
- Cosmic Ray Propagation: Nonlinear Diffusion Parallel and Perpendicular to Mean Magnetic Field
- Prompt GRB emission from gradual energy dissipation
- On the Momentum Diffusion of Radiating Ultrarelativistic Electrons in a Turbulent Magnetic Field
- Time-Dependent Stochastic Particle Acceleration in Astrophysical Plasmas: Exact Solutions Including Momentum-Dependent Escape
- Slow Heating Model of Gamma-Ray Burst: Photon Spectrum and Delayed Emission
- Adiabatic non-resonant acceleration in magnetic turbulence and hard spectra of gamma-ray bursts
- Ultrahigh-Energy Cosmic Ray Production by Turbulence in Gamma-Ray Burst Jets and Cosmogenic Neutrinos
- Stochastic Electron Acceleration in Shell-Type Supernova Remnants II
- Synchrotron Self-Compton Emission by Relativistic Electrons under Stochastic Acceleration: Application to Mrk 421 and Mrk 501
- General properties of the radiation spectra from relativistic electrons moving in a Langmuir turbulence
- Particle acceleration in superluminal strong waves