Acceleration in a Periodic Magnetic Field

TL;DR

This paper demonstrates that particle acceleration in a periodically varying magnetic field can be modeled as momentum space diffusion, linking the diffusion coefficient to the turbulence spectrum.

Contribution

It establishes a theoretical connection between particle acceleration via Alfven magnetic pumping and momentum diffusion, relating the diffusion coefficient to turbulence spectrum.

Findings

Acceleration reduces to momentum diffusion process.

Diffusion coefficient is connected to turbulence spectrum.

Provides a theoretical framework for magnetic pumping effects.

Abstract

It is shown that acceleration of particles in a homogeneous magnetic field that varies periodically with time (Alfven magnetic pumping) reduces to a diffusion of the particles in momentum space; a connection is established between the diffusion coefficient and the turbulence spectrum (k-wave number).