The Characteristics of Cosmic Rays in a Fractal Medium

S Doostmohammadi,S J Fatemi

doi:10.5402/2012/673250

Abstract

We consider the galactic propagation of cosmic rays with energies below the knee of the cosmic ray spectrum (at GeV). Lagutin and his colleagues suggested that propagation in a fractal medium would be an appropriate model for such particles and pointed out that a different diffusion equation to that usually assumed is then required. We present results of calculations using a diffusion equation appropriate to an inhomogeneous medium. These results are encouraging and can fit properties of the energy density of cosmic rays using the supernova model of Erlykin and Wolfendale. The containment time of cosmic rays, in such a modeling of propagation in a fractal medium, is discussed.

Highlights

Research Article The Characteristics of Cosmic Rays in a Fractal MediumFaculty of Physics, Shahid Bahonar University of Kerman, Kerman 76169-14111, Iran. Copyright q 2012 S
It has long been considered that the supernova remnants SNRs are responsible for galactic cosmic rays 1, 2
They totally release about 1051 erg as their explosion energy which makes them as very likely candidates in the galaxy, capable of delivering the requisite cosmic ray CR power 1041 erg/s to the interstellar medium 3

Summary

Research Article The Characteristics of Cosmic Rays in a Fractal Medium

Faculty of Physics, Shahid Bahonar University of Kerman, Kerman 76169-14111, Iran. Copyright q 2012 S. We consider the galactic propagation of cosmic rays with energies below the knee of the cosmic ray spectrum at 3 × 106 GeV. Lagutin and his colleagues suggested that propagation in a fractal medium would be an appropriate model for such particles and pointed out that a different diffusion equation to that usually assumed is required. We present results of calculations using a diffusion equation appropriate to an inhomogeneous medium These results are encouraging and can fit properties of the energy density of cosmic rays using the supernova model of Erlykin and Wolfendale. The containment time of cosmic rays, in such a modeling of propagation in a fractal medium, is discussed

Introduction

Conclusions