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We present here a semi-analytical solution of the problem of particle acceleration at non-linear shock waves with a free escape boundary at some location upstream. This solution, besides allowing us to determine the spectrum of particles…

High Energy Astrophysical Phenomena · Physics 2014-11-20 D. Caprioli , E. Amato , P. Blasi

The escape of charged particles accelerated by diffusive shock acceleration from supernova remnants is shown to be a more complex process than normally appreciated. Using a box model it is shown that the high-energy end of the spectrum can…

Astrophysics of Galaxies · Physics 2015-05-20 Luke O'C. Drury

The supernova paradigm for the origin of galactic cosmic rays has been deeply affected by the development of the non-linear theory of particle acceleration at shock waves. Here we discuss the implications of applying such theory to the…

High Energy Astrophysical Phenomena · Physics 2015-03-13 D. Caprioli , E. Amato , P. Blasi

Stationary solutions to the equations of non-linear diffusive shock acceleration play a fundamental role in the theory of cosmic-ray acceleration. Their existence usually requires that a fraction of the accelerated particles be allowed to…

Astrophysics · Physics 2011-02-11 B. Reville , J. G. Kirk , P. Duffy

The origin of cosmic rays in our Galaxy remains a subject of active debate. While supernova remnant shocks are often invoked as the sites of acceleration, it is now widely accepted that the difficulties of such sources in reaching PeV…

High Energy Astrophysical Phenomena · Physics 2021-03-24 Giovanni Morlino , Pasquale Blasi , Enrico Peretti , Pierre Cristofari

The linear theory of shock acceleration predicts the maximum particle energy to be limited only by the acceleration time and the size of the shock. We study the combined effect of acceleration nonlinearity (shock modification by accelerated…

Astrophysics · Physics 2007-05-23 M. A. Malkov , P. H. Diamond , T. W. Jones

The instability in the cosmic-ray precursor of a supernova shock moving in interstellar medium is studied. The level of magnetohydrodynamic turbulence in this region determines the maximum energy of particles accelerated by the diffusive…

Astrophysics · Physics 2011-05-23 V. S. Ptuskin , V. N. Zirakashvili

In the present paper we discuss the modifications introduced into the first-order Fermi shock acceleration process due to a finite extent of diffusive regions near the shock or due to boundary conditions leading to an increased particle…

Astrophysics · Physics 2009-10-28 M. Ostrowski , R. Schlickeiser

We investigate the escape process from a perpendicular shock region of a spherical shock in the interstellar medium (ISM). The diffusive shock acceleration in the perpendicular shock of supernova remnants (SNRs) has been expected to…

High Energy Astrophysical Phenomena · Physics 2021-11-03 Shoma F. Kamijima , Yutaka Ohira

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…

Astrophysics · Physics 2007-06-13 Pasquale Blasi , Elena Amato

Galactic cosmic rays are believed to be accelerated at supernova remnants via diffusive shock acceleration. Though this mechanism gives fairly robust predictions for the spectrum of particles accelerated at the shock, the spectrum of the…

High Energy Astrophysical Phenomena · Physics 2011-08-25 Stefano Gabici

When the pressure of particles accelerated at shock waves is no longer negligible compared to the kinetic pressure of the gas, the linear theory of diffusive shock acceleration breaks down. This is expected in particular when the shock…

High Energy Astrophysical Phenomena · Physics 2021-12-22 Thibault Vieu , Stefano Gabici , Vincent Tatischeff

We simulate time-dependent particle acceleration in the blast wave of a young supernova remnant (SNR), using a Monte Carlo approach for the diffusion and acceleration of the particles, coupled to an MHD code. We calculate the distribution…

High Energy Astrophysical Phenomena · Physics 2015-05-18 K. M. Schure , A. Achterberg , R. Keppens , Jacco Vink

The momentum distribution of particles accelerated at strong non-relativistic shocks may be influenced by the spatial distribution of the flow speed around the shock. This phenomenon becomes evident in the cosmic-ray modified shock, where…

High Energy Astrophysical Phenomena · Physics 2024-08-14 O. Petruk , T. Kuzyo

The escape process of particles accelerated at supernova remnant (SNR) shocks is one of the poorly understood aspects of the shock acceleration theory. Here we adopt a phenomenological approach to study the particle escape and its impact on…

High Energy Astrophysical Phenomena · Physics 2019-10-23 Silvia Celli , Giovanni Morlino , Stefano Gabici , Felix Aharonian

The spectrum of cosmic ray protons and electrons released by supernova remnants throughout their evolution is poorly known, because of the difficulty in accounting for particle escape and confinement in the downstream of a shock front,…

High Energy Astrophysical Phenomena · Physics 2021-06-23 P. Cristofari , P. Blasi , D. Caprioli

We investigate the escape process of cosmic rays (CRs) from perpendicular shock regions of a spherical shock propagating to a circumstellar medium with the Parker-spiral magnetic field. The diffusive shock acceleration in perpendicular…

High Energy Astrophysical Phenomena · Physics 2023-04-06 Shoma F. Kamijima , Yutaka Ohira

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…

Astrophysics · Physics 2009-11-10 V. S. Ptuskin , V. N. Zirakashvili

The theory of diffusive particle acceleration explains the spectral properties of the cosmic rays below energies of approx. 10^6 GeV as produced at strong shocks in supernova remnants (SNR's). To supply the observed flux of cosmic rays, a…

Astrophysics · Physics 2007-05-23 U. D. J. Gieseler , T. W. Jones , Hyesung Kang

Supernova remnants (SNRs) are believed to accelerate particles up to high energies through the mechanism of diffusive shock acceleration (DSA). Except for direct plasma simulations, all modeling efforts must rely on a given form of the…

High Energy Astrophysical Phenomena · Physics 2015-06-22 Gilles Ferrand , Rebecca J. Danos , Andreas Shalchi , Samar Safi-Harb , Paul Edmon , Peter Mendygral
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