
TL;DR
This paper derives and confirms a transport equation describing how large-scale incompressible turbulence accelerates energetic charged particles through turbulent shear acceleration, especially relevant at small scales.
Contribution
The paper introduces an ensemble-averaged transport equation for turbulent shear acceleration and validates it with Monte Carlo simulations.
Findings
Turbulent shear acceleration is significant at small scales for Kolmogorov turbulence.
The derived transport equation accurately models particle acceleration in turbulent flows.
Monte Carlo simulations confirm the theoretical predictions.
Abstract
We consider particle acceleration by large-scale incompressible turbulence with a lengthscale larger than the particle mean free path. We derive an ensemble-averaged transport equation of energetic charged particles from an extended transport equation which contains the shear acceleration. The ensemble-averaged transport equation describes particle acceleration by incompressible turbulence (turbulent shear acceleration). We find that for Kolmogorov turbulence, the turbulent shear acceleration becomes important in small scale. Moreover, by Monte Carlo simulations, we confirm that the ensemble-averaged transport equation describes the turbulent shear acceleration.
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