Study of spatial inhomogeneities of cosmic rays in a synthetic turbulent magnetic field

TL;DR

This paper develops a theoretical model and numerical simulations to analyze the spatial inhomogeneities of synchrotron radiation caused by relativistic electrons in turbulent magnetic fields, providing insights into cosmic ray distributions.

Contribution

It introduces a comprehensive theoretical framework and numerical approach to study synchrotron radiation spectra and spatial inhomogeneities in turbulent magnetic fields.

Findings

Complete power spectra of synchrotron radiation were calculated.

A model sky map illustrating spatial inhomogeneity was constructed.

The study enhances understanding of cosmic ray and magnetic field interactions.

Abstract

The paper presents a theoretical model describing the full power spectra of synchrotron radiation generated by relativistic electrons in a turbulent magnetic field. Using the theoretical model, numerical calculations of the complete power spectra of synchrotron radiation were performed for a turbulent field generated by the harmonic method. Additionally, a model sky map was constructed, demonstrating the structure of the spatial inhomogeneity of the synchrotron radiation power distribution as seen by an observer.