Theory of nonlinear particle acceleration at shocks and self-generation of the magnetic field

TL;DR

This paper advances the theory of particle acceleration at shock fronts by incorporating the effects of particle reactions and magnetic field self-generation, providing detailed profiles and implications for cosmic rays and supernova remnants.

Contribution

It introduces a comprehensive theoretical framework that models particle spectra, velocity, magnetic, and temperature profiles considering dynamical reactions and streaming instability effects.

Findings

Particle spectra can be calculated throughout the shock precursor and downstream regions.

The model links magnetic field amplification to streaming instability.

Implications for cosmic ray origins and supernova remnant phenomenology are discussed.

Abstract

We present some recent developments in the theory of particle acceleration at shock fronts in the presence of dynamical reaction of the accelerated particles and self-generation of magnetic field due to streaming instability. The spectra of accelerated particles, the velocity, magnetic field and temperature profiles can be calculated in this approach anywhere in the precursor and in the downstream region. The implications for the origin of cosmic rays and for the phenomenology of supernova remnants will be discussed.