# Cosmic Ray (Stochastic) Acceleration from a Background Plasma

## TL;DR

This paper reviews stochastic acceleration processes in the Galaxy, focusing on particle number estimation, spectral generation conditions, and their role in high-energy electron production and cosmic ray distribution in the Galactic halo and disk.

## Contribution

It provides a concise review of stochastic acceleration mechanisms, analyzing their potential to explain high-energy phenomena and cosmic ray distributions in the Galaxy.

## Key findings

- Stochastic acceleration can produce power-law nonthermal spectra under certain conditions.
- It may explain high-energy electron emissions from the Fermi bubbles.
- The mechanism's role in cosmic ray distribution in the Galactic disk is discussed.

## Abstract

We give a short review of processes of stochastic acceleration in the Galaxy. We discuss: how to estimate correctly the number of accelerated particles, and at which condition the stochastic mechanism is able to generate power-law nonthermal spectra. We present an analysis of stochastic acceleration in the Galactic halo and discuss whether this mechanism can be responsible for production of high energy electrons there, which emit gamma-ray and microwave emission from the giant Fermi bubbles. Lastly, we discuss whether the effects of stochastic acceleration can explain the CR distribution in the Galactic disk (CR gradient).