Astrophysical chaotic gun effect

TL;DR

This paper introduces a kinetic model for the chaotic gun effect, an electromagnetic acceleration process, deriving its spectral properties and applying it to estimate parameters of astrophysical sources like Mkn 501.

Contribution

It develops a kinetic equation for the chaotic gun effect and links the spectral index of emission to particle distribution, providing a new framework for high-energy astrophysical acceleration.

Findings

Derives the power spectrum of synchrotron emission showing a power law form.

Identifies a spectral break at a threshold frequency where chaotic acceleration becomes efficient.

Estimates magnetic field strength and source parameters based on the chaotic gun effect.

Abstract

We propose a kinetic equation for a special kind of acceleration: chaotic gun effect. Then we infer a distribution function which can depict the instability condition. With this distribution function we derive the power spectrum of the synchrotron emission and we prove the power law form of the power spectrum. We show that the spectral index of the emission spectrum is related to the spectral index of the number of the charged particles in the beam. Our numeric simulations show that the spectrum has a break at a frequency threshold where the chaotic acceleration becomes efficient. Assuming this threshold to the set on of the efficient chaotic gun effect we estimate the magnetic strength .Our paper advocates an electromagnetic process able to accelerate charged particles to high energies starting from low energies. Assuming the high-energy particles spectra of Mkn 501 to be produced by the synchrotron emission during chaotic gun effect we estimate some parameters of the source.