On the spectrum of high-energy cosmic rays produced by supernova remnants in the presence of strong cosmic-ray streaming instability and wave dissipation

Abstract

The cosmic-ray streaming instability creates strong magnetohydrodynamic turbulence in the precursor of a SN shock. The level of turbulence determines the maximum energy of cosmic-ray particles accelerated by the diffusive shock acceleration mechanism. The present consideration continues our work Ptuskin & Zirakashvili (2003). It is assumed that the Kolmogorov type nonlinear wave interactions together with the ion-neutral collisions restrict the amplitude of random magnetic field. As a result, the maximum energy of accelerated particles strongly depends on the age of a SNR. The average spectrum of cosmic rays injected in the interstellar medium over the course of adiabatic SNR evolution (the Sedov stage) is approximately $Q(p)p^2\propto p^{-2}$ at energies larger than 10-30 Gev/nucleon and with the maximum particle energy that is close to the knee position in cosmic ray spectrum observed at $\sim 4\times 10^{15}$ eV. At earlier stage of SNR evolution - the ejecta dominated stage described by the Chevalier-Nadyozhin solution, the particles are accelerated to higher energies and have rather steep power-law distribution on momentum. These results suggest that the knee may mark the transition from the ejecta-dominated to the adiabatic evolution of SNR shocks which accelerate cosmic rays.

12 pages, 2 figures, LATEX

References in corpus (2)

• Extragalactic UHE proton spectrum and prediction for iron-nuclei flux at 10^8 - 10^9 GeV
• Cosmic ray production in supernova remnants including reacceleration: the secondary to primary ratio

Cited by in corpus (144)

• Simulations of Ion Acceleration at Non-relativistic Shocks. I. Acceleration Efficiency
• The H.E.S.S. Galactic plane survey
• Broad-band nonthermal emission from molecular clouds illuminated by cosmic rays from nearby supernova remnants
• Cosmic ray acceleration and escape from supernova remnants
• The 1st Fermi Lat Supernova Remnant Catalog
• Observation of Supernova Remnant IC443 with the Fermi Large Area Telescope
• The origin of Galactic cosmic rays: challenges to the standard paradigm
• Observational signatures of particle acceleration in supernova remnants
• Spectrum of Galactic Cosmic Rays Accelerated in Supernova Remnants
• Gamma rays from molecular clouds illuminated by cosmic rays escaping from interacting supernova remnants
• High-energy antiprotons from old supernova remnants
• Study of Nonthermal Emission from SNR RX J1713.7-3946 with Suzaku
• Diffusive Shock Acceleration with Magnetic Amplification by Non-resonant Streaming Instability in SNRs
• Spectrum of cosmic rays, produced in supernova remnants
• A dip in the UHECR spectrum and the transition from galactic to extragalactic cosmic rays
• Analytic Solution for Self-regulated Collective Escape of Cosmic Rays from their Acceleration Sites
• Escape-limited Model of Cosmic-ray Acceleration Revisited
• Searching for galactic cosmic ray pevatrons with multi-TeV gamma rays and neutrinos
• Dynamical Feedback of Self-generated Magnetic Fields in Cosmic Ray Modified Shocks
• Nonlinear Diffusive Shock Acceleration with Magnetic Field Amplification
• The contribution of supernova remnants to the galactic cosmic ray spectrum
• Escaping the accelerator; how, when and in what numbers do cosmic rays get out of supernova remnants?
• Nonthermal particles and photons in starburst regions and superbubbles
• Spectra of Cosmic Ray Protons and Helium Produced in Supernova Remnants
• On the escape of particles from cosmic ray modified shocks
• Non-linear diffusion of cosmic rays escaping from supernova remnants - I. The effect of neutrals
• Cosmic ray acceleration in young supernova remnants
• Fermi-LAT Discovery of GeV Gamma-ray Emission from the Vicinity of SNR W44
• On the cosmic ray spectrum from type II Supernovae expanding in their red giant presupernova wind
• Diffusive Shock Acceleration at Cosmological Shock Waves
• Nearby supernova remnants and the cosmic-ray spectral hardening at high energies
• Core-collapse model of broadband emission from SNR RX J1713.7-3946 with thermal X-rays and Gamma-rays from escaping cosmic rays
• The low rate of Galactic pevatrons
• Spectrum and Anisotropy of Cosmic Rays at TeV-PeV-energies and Contribution of Nearby Sources
• Cosmic ray production in supernovae
• Population study of Galactic supernova remnants at very high $\gamma$-ray energies with H.E.S.S.
• Turbulence and particle acceleration in collisionless supernovae remnant shocks: I-Anisotropic spectra solutions
• Numerical simulations of diffusive shock acceleration in SNRs
• Escape of cosmic-ray electrons from supernova remnants
• Exploring particle escape in supernova remnants through gamma rays
• Non-linear diffusive acceleration of heavy nuclei in supernova remnant shocks
• Gamma-ray emission of accelerated particles escaping a supernova remnant in a molecular cloud
• Detailed Investigation of the Gamma-Ray Emission in the Vicinity of SNR W28 with FERMI-LAT
• Escape model for Galactic cosmic rays and an early extragalactic transition
• Particle Spectra from Acceleration at Forward and Reverse Shocks of Young Type Ia Supernova Remnants
• On the origin and composition of Galactic cosmic rays
• Non-linear diffusion of cosmic rays escaping from supernova remnants - II. Hot ionized media
• Cosmic Rays: Recent Progress and some Current Questions
• Particle acceleration by supernova shocks and spallogenic nucleosynthesis of light elements
• Signatures of the transition from galactic to extragalactic cosmic rays
• Internal dynamics and particle acceleration in Tycho's SNR
• Explaining the Spectra of Cosmic Ray Groups above the Knee by Escape from the Galaxy
• Acceleration of cosmic rays and gamma-ray emission from supernova remnants in the Galaxy
• Gamma rays as probes of cosmic-ray propagation and interactions in galaxies
• Time-Dependent Escape of Cosmic Rays from Supernova Remnants, and their Interaction with Dense Media
• Cosmic-ray acceleration and escape from post-adiabatic Supernova remnants
• Turbulence and particle acceleration in collisionless supernovae remnant shocks: II- Cosmic-ray transport
• Cosmic ray protons and electrons from supernova remnants
• The supernova remnant W49B as seen with H.E.S.S. and Fermi-LAT
• Cosmic Ray streaming from SNRs and gamma ray emission from nearby molecular clouds
• Revisiting the hardening of the cosmic-ray energy spectrum at TeV energies
• Understanding hadronic gamma-ray emission from supernova remnants
• The Fermi Bubbles as a Scaled-up Version of Supernova Remnants
• Cosmic Ray Acceleration by Supernova Shocks
• Nonlinear shock acceleration beyond the Bohm limit
• A young SNR illuminating nearby Molecular Clouds with cosmic rays
• 3 to 12 millimetre studies of dense gas towards the western rim of supernova remnant RX J1713.7-3946
• Preheating of the Universe by cosmic rays from primordial supernovae at the beginning of cosmic reionization
• Slow Diffusion of Cosmic-Rays around a Supernova Remnant
• The Transition from Young to Middle-aged Supernova Remnants: Thermal and Nonthermal Aspects of SNR N132D
• Effects of Leakage Neutral Particles on Shocks
• Theory of cosmic ray and gamma-ray production in the supernova remnant RX J0852.0-4622
• Modeling the gamma-ray emission produced by runaway cosmic rays in the environment of RX J1713.7-3946
• Leaked GeV CRs from a broken shell: Explaining 9 years Fermi-LAT data of SNR W28
• H.E.S.S. detection of TeV emission from the interaction region between the supernova remnant G349.7+0.2 and a molecular cloud
• Antimatter production in supernova remnants
• In-situ acceleration of subrelativistic electrons in the Coma halo and the halo's influence on the Sunyaev-Zeldovich effect
• Cosmic-ray generated bubbles around their sources
• X-Ray Emission from the PeVatron-candidate Supernova Remnant G106.3+2.7
• Nonthermal Radiation from Supernova Remnants: Effects of Magnetic Field Amplification and Particle Escape
• Detection of very-high-energy gamma-ray emission from the vicinity of PSR B1706-44 and G343.1-2.3 with H.E.S.S
• Prospects for CTA observations of the young SNR RX J1713.7-3946
• Spectral softening in core-collapse supernova remnant expanding inside wind-blown bubble
• Time Evolution of Gamma Rays from Supernova Remnants
• Expected gamma-ray emission of supernova remnant SN 1987A
• On ultra-high energy cosmic rays: origin in AGN jets and transport in expanding Universe
• Diffusive shock acceleration with magnetic field amplification and Alfvenic drift
• Building up the spectrum of cosmic-rays in star-forming regions
• On the search for Galactic supernova remnant PeVatrons with current TeV instruments
• Supernova remnants in the very-high-energy gamma-ray domain: the role of the Cherenkov telescope array
• Synchrotron X-ray diagnostics of cutoff shape of nonthermal electron spectrum at young supernova remnants
• Kinetic approaches to particle acceleration at cosmic ray modified shocks
• Observational constraints on the maximum energies of accelerated particles in supernova remnants: low maximum energies and a large variety
• Sensitivity of the Cherenkov Telescope Array to TeV photon emission from the Large Magellanic Cloud
• Discovery of recombining plasma from the faintest GeV SNR HB 21 and a possible scenario of the cosmic ray escaping from SNR shocks
• Cosmic rays and molecular clouds
• On the point source approximation of nearby cosmic-ray sources
• Prospects for a survey of the Galactic plane with the Cherenkov Telescope Array
• Interaction between Molecular Clouds and MeV-TeV Cosmic-ray Protons Escaped from Supernova Remnants
• Cosmic-ray electrons released by supernova remnants
• Effect of acceleration and escape of energetic particles on spectral steepening at shocks
• Hadronic versus leptonic origin of gamma-ray emission from supernova remnants
• Modeling of Cosmic-Ray Production and Transport and Estimation of Gamma-Ray and Neutrino Emissions in Starburst Galaxies
• Fast Particle Acceleration at Perpendicular Shocks with Uniform Upstream Magnetic Field and Strong Downstream Turbulence
• B/C ratio and the PAMELA positron excess
• Study of the GeV to TeV morphology of the $\gamma$-Cygni SNR (G78.2+2.1) with MAGIC and Fermi-LAT
• Detection of gamma rays around SNR HB9 and its implication to the diffusive shock-acceleration history
• On The {\it Fermi} -Lat Surplus of the Diffuse Galactic Gamma-Ray Emission
• Non-linear acceleration at supernova remnant shocks and the hardening in the cosmic ray spectrum
• Multiwavelength studies of G298.6$-$0.0: An old GeV supernova remnant interacting with molecular clouds
• Nearby sources in the transition region between Galactic and Extragalactic cosmic rays
• A possible correlation between the high energy electron spectrum and the cosmic-ray secondary-to-primary ratios
• Microquasar jet-cocoon systems as PeVatrons
• Origin of Spectral Hardening of Secondary Cosmic-Ray Nuclei
• Astrophysics in 2005
• Is the SNR HESS J1731-347 colliding with molecular clouds?
• Cosmic Ray transport in turbulent magnetic field
• Gamma rays and neutrinos from RX J1713.7-3946 in a lepto-hadronic scenario
• Direct Measurements, Acceleration and Propagation of Cosmic Rays
• Escape of cosmic rays from perpendicular shocks in the circumstellar magnetic field
• High-(Energy)-Lights -- The Very High Energy Gamma-Ray Sky
• Gamma-Ray Emission from Supernova Remnants and Surrounding Molecular Clouds
• The population of Galactic supernova remnants in the TeV range
• High energy gamma-ray detection of supernova remnants in the Large Magellanic Cloud
• Spatially decomposed $\gamma$-ray features surrounding SNR Kes 79 & PSR J1853+0056
• Cosmic ray protons in the energy range $10^{16}-10^{18.5}$ eV: stochastic gyroresonant acceleration in hypernova shocks?
• HESS J1858+020: A GeV-TeV source possibly powered by CRs from SNR G35.6-0.4
• The Gamma-Ray Emission from the Supernova Remnant RX J1713.7-3946 Interacting with Two-phase Medium
• The environment of TeV halo progenitors
• Time-dependent escape of cosmic rays from supernova remnants potentially at the origin of the very-high-energy cosmic-ray gradient of the Galactic center
• Probing maximum energy of cosmic rays in SNR through gamma rays and neutrinos from the molecular clouds around SNR W28
• On the cosmic ray spectrum from type II Supernovae
• On the Evolution of the Maximum Energy of Accelerated Particles in Young Supernova Remnants
• Explaining the extended GeV gamma-ray emission adjacent to HESS J1825-137
• Modelling the Gamma-Ray Morphology of HESS J1804-216 from Two Supernova Remnants in a Hadronic Scenario
• Antimatter spectra from a time-dependent modeling of supernova remnants
• RICAP-07: Summary comments
• Runaway stars and the Galactic supernova remnant landscape: non-thermal emission and observational evidence
• The population of Galactic supernova remnants in the TeV range
• Can a single supernova remnant account for the gamma-ray emission of G106.3+2.7?
• Escape of cosmic rays from perpendicular shocks in the interstellar magnetic field
• Theory of nonlinear particle acceleration at shocks and self-generation of the magnetic field
• Identifying the nature of high energy Astroparticles
• Examining a hadronic $\gamma$-ray scenario for the radiative shell & molecular clouds of the old GeV supernova remnant G298.6$-$0.0