A general solution to non-linear particle acceleration at non-relativistic shock waves

Abstract

Diffusive acceleration at collisionless shock waves remains one of the most promising acceleration mechanisms for the description of the origin of cosmic rays at all energies. A crucial ingredient to be taken into account is the reaction of accelerated particles on the shock, which in turn determines the efficiency of the process. Here we propose a semi-analytical kinetic method that allows us to calculate the shock modification induced by accelerated particles together with the efficiency for particle acceleration and the spectra of accelerated particles. The shock modification is calculated for arbitrary environment parameters (Mach number, maximum momentum, density) and for arbitrary diffusion properties of the medium. Several dependences of the diffusion coefficient on particle momentum and location are considered to assess the goodness of the method.

11 pages, 3 figures; accepted for publication in MNRAS Letters

References in corpus (9)

• On the role of injection in kinetic approaches to nonlinear particle acceleration at non-relativistic shock waves
• Acceleration Rates and Injection Efficiencies in Oblique Shocks
• Analytic solution for nonlinear shock acceleration in the Bohm limit
• Non-linear Particle Acceleration in Oblique Shocks
• Numerical Studies of Cosmic Ray Injection and Acceleration
• Non-linear shock acceleration in the presence of seed particles
• Efficiency of Nonlinear Particle Acceleration at Cosmic Structure Shocks
• Critical self-organization of astrophysical shocks
• Diffusive Shock Acceleration in Oblique MHD Shocks: Comparison with Monte Carlo Methods and Observations

Cited by in corpus (77)

• The Origin of Galactic Cosmic Rays
• The Astrophysics of Ultrahigh Energy Cosmic Rays
• Particle Acceleration in Relativistic Magnetized Collisionless Electron-Ion Shocks
• Strong evidences of hadron acceleration in Tycho's Supernova Remnant
• Radio signature of cosmological structure formation shocks
• Recent Advances in Understanding Particle Acceleration Processes in Solar Flares
• Non linear particle acceleration at non-relativistic shock waves in the presence of self-generated turbulence
• The origin of galactic cosmic rays
• Particle acceleration in winds of star clusters
• Nonlinear Diffusive Shock Acceleration with Magnetic Field Amplification
• Dynamical Feedback of Self-generated Magnetic Fields in Cosmic Ray Modified Shocks
• Gamma ray emission from SNR RX J1713.7-3946 and the origin of galactic cosmic rays
• The contribution of supernova remnants to the galactic cosmic ray spectrum
• Magnetohydrodynamic-Particle-in-Cell Method for Coupling Cosmic Rays with a Thermal Plasma: Application to Non-relativistic Shocks
• Cosmic-ray acceleration in supernova remnants: non-linear theory revised
• Particle Acceleration in Supernova Remnants and the Production of Thermal and Nonthermal Radiation
• Nonthermal particles and photons in starburst regions and superbubbles
• On the escape of particles from cosmic ray modified shocks
• Ion acceleration in non-relativistic astrophysical shocks
• The maximum momentum of particles accelerated at cosmic ray modified shocks
• Transition from galactic to extragalactic cosmic rays
• Collisionless shocks in a partially ionized medium: I. Neutral return flux and its effects on acceleration of test particles
• Dynamical effects of self-generated magnetic fields in cosmic ray modified shocks
• The Hunt for Pevatrons: The Case of Supernova Remnants
• Spatial structure of X-ray filaments in SN 1006
• Self-Similar Evolution of Cosmic-Ray Modified Shocks: The Cosmic-Ray Spectrum
• Kinetic Simulations of Cosmic-Ray-Modified Shocks I: Hydrodynamics
• Non-linear diffusive acceleration of heavy nuclei in supernova remnant shocks
• A Generalized Model of Nonlinear Diffusive Shock Acceleration Coupled to an Evolving Supernova Remnant
• Gamma-ray emission of accelerated particles escaping a supernova remnant in a molecular cloud
• The Role of Diffusive Shock Acceleration on Non-Equilibrium Ionization in Supernova Remnants
• First Predicted Cosmic Ray Spectra, Primary-to-Secondary Ratios, and Ionization Rates from MHD Galaxy Formation Simulations
• Comparison of Different Methods for Nonlinear Diffusive Shock Acceleration
• Modelling injection and feedback of Cosmic Rays in grid-based cosmological simulations: effects on cluster outskirts
• Non-linear model of particle acceleration at colliding shock flows
• Signatures of the transition from galactic to extragalactic cosmic rays
• Steady-State Solutions in Nonlinear Diffusive Shock Acceleration
• Collisionless shocks in a partially ionized medium: III. Efficient cosmic ray acceleration
• On the Spectrum of Electrons Accelerated in Supernova Remnants
• Time-dependent particle acceleration in supernova remnants in different environments
• Steep Cosmic Ray Spectra with Revised Diffusive Shock Acceleration
• Gamma-ray spectrum of RX J1713.7-3946 in the Fermi era and future detection of neutrinos
• Evidence for multiple shocks from the $\gamma$-ray emission of RS Ophiuchi
• X-ray Emission from Transient Jet Model in Black Hole Binaries
• 3-D Model of Broadband Emission from Supernova Remnants Undergoing Non-linear Diffusive Shock Acceleration
• Evolution and observational signatures of the cosmic ray electron spectrum in SN 1006
• Simulations of cosmic rays in large-scale structures: numerical and physical effects
• Particle acceleration and non-thermal emission in colliding-wind binary systems
• The Impact of Efficient Particle Acceleration on the Evolution of Supernova Remnants in the Sedov-Taylor Phase
• Cosmic Ray acceleration and Balmer emission from SNR 0509-67.5
• Diffuse Galactic Gamma Rays at intermediate and high latitudes. I. Constraints on the ISM properties
• Proton acceleration in colliding stellar wind binaries
• Gamma Rays and Neutrinos from SNR RX J1713.7-3946
• Non-linear diffusive shock acceleration: A recipe for injection of electrons
• Detectability of southern gamma-ray sources beyond 100 TeV with ALPAQUITA, the prototype experiment of ALPACA
• Kinetic approaches to particle acceleration at cosmic ray modified shocks
• Cosmic Ray acceleration and Balmer emission from RCW 86 (G315.4-2.3)
• New high-frequency radio observations of the Cygnus Loop supernova remnant with the Italian radio telescopes
• Pitch-Angle Diffusion and Bohm-type Approximations in Diffusive Shock Acceleration
• Hadronic versus leptonic origin of gamma-ray emission from supernova remnants
• The role of ionization in the shock acceleration theory
• Radio polarization maps of shell-type SNRs II. Sedov models with evolution of turbulent magnetic field
• New estimation of the nuclear de-excitation line emission from the supernova remnant Cassiopeia A
• Particle acceleration in interstellar shocks
• Particle acceleration at shock waves: particle spectrum as a function of the equation of state of the shocked plasma
• Using optical lines to study particle acceleration at supernova remnants
• Diffusive acceleration in relativistic shocks: particle feedback
• Particle acceleration around SNR shocks
• SLAMS-Propelled Electron Acceleration at High-Mach Number Astrophysical Shocks
• The origin of ultra high energy cosmic rays
• Individual particle approach to the diffusive shock acceleration. Effect of the non-uniform flow velocity downstream of the shock
• Constraining the low-energy cosmic ray flux in the central molecular zone from MeV nuclear deexcitation line observations
• On the stability of shocks with particle pressure
• Very High Energy Gamma Rays from Ultra Fast Outflows
• Non-linear Diffusive Shock Acceleration of Cosmic Rays -- Quasi-thermal and Non-thermal Particle Distributions
• Open questions with ultra-high energy cosmic rays
• Can a single supernova remnant account for the gamma-ray emission of G106.3+2.7?