Kinetic approaches to particle acceleration at cosmic ray modified shocks

Abstract

Kinetic approaches provide an effective description of the process of particle acceleration at shock fronts and allow to take into account the dynamical reaction of the accelerated particles as well as the amplification of the turbulent magnetic field as due to streaming instability. The latter does in turn affect the maximum achievable momentum and thereby the acceleration process itself, in a chain of causality which is typical of non-linear systems. Here we provide a technical description of two of these kinetic approaches and show that they basically lead to the same conclusions. In particular we discuss the effects of shock modification on the spectral shape of the accelerated particles, on the maximum momentum, on the thermodynamic properties of the background fluid and on the escaping and advected fluxes of accelerated particles.

22 pages, 7 figures, accepted for publication in MNRAS

References in corpus (21)

• High-energy particle acceleration in the shell of a supernova remnant
• Magnetic Field Amplification in Tycho and other Shell-type Supernova Remnants
• Primary particle acceleration above 100 TeV in the shell-type Supernova Remnant RX J1713.7-3946 with deep H.E.S.S. observations
• A detailed spectral and morphological study of the gamma-ray supernova remnant RX J1713.7-3946 with H.E.S.S
• On the spectrum of high-energy cosmic rays produced by supernova remnants in the presence of strong cosmic-ray streaming instability and wave dissipation
• H.E.S.S. observations of the supernova remnant RX J0852.0-4622: shell-type morphology and spectrum of a widely extended VHE gamma-ray source
• On the role of injection in kinetic approaches to nonlinear particle acceleration at non-relativistic shock waves
• HESS Observations and VLT Spectroscopy of PG 1553+113
• Detection of TeV gamma-ray Emission from the Shell-Type Supernova Remnant RX J0852.0-4622 with H.E.S.S
• Non linear particle acceleration at non-relativistic shock waves in the presence of self-generated turbulence
• A semi-analytical approach to non-linear shock acceleration
• Analytic solution for nonlinear shock acceleration in the Bohm limit
• Searching for galactic cosmic ray pevatrons with multi-TeV gamma rays and neutrinos
• A general solution to non-linear particle acceleration at non-relativistic shock waves
• Non-linear Particle Acceleration in Oblique Shocks
• Particle Acceleration in Supernova Remnants and the Production of Thermal and Nonthermal Radiation
• The maximum momentum of particles accelerated at cosmic ray modified shocks
• Non-linear shock acceleration in the presence of seed particles
• Numerical Studies of Diffusive Shock Acceleration at Spherical Shocks
• Critical self-organization of astrophysical shocks
• Cosmic ray diffusion near the Bohm limit in the Cassiopeia A supernova remnant

Cited by in corpus (11)

• PKS 1502+106: a new and distant gamma-ray blazar in outburst discovered by the Fermi Large Area Telescope
• Simulating the gamma-ray emission from galaxy clusters: a universal cosmic ray spectrum and spatial distribution
• Fundamentals of collisionless shocks for astrophysical application, 2. Relativistic shocks
• Steady-State Solutions in Nonlinear Diffusive Shock Acceleration
• The multi-band nonthermal emission from the supernova remnant RX J1713.7-3946
• Multiband Nonthermal Radiative Properties of HESS J1813-178
• On the Nonthermal Emission from the Supernova Remnant W51C
• Nonlinear particle reacceleration by multiple shocks
• Stability of Cosmic Ray Modified Shocks: Two-Fluid Approach
• Regions of suppressed diffusion around supernova remnants?
• On the stability of shocks with particle pressure