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Journal ArticleDOI

A semi-analytical approach to non-linear shock acceleration

Pasquale Blasi
- 01 Feb 2002 - 
- Vol. 16, Iss: 4, pp 429-439
TLDR
In this article, a semi-analytical model was proposed to deal with non-linear effects in particle acceleration in a quantitative way, which is compatible with the previous simplified results and also provides a satisfactory description of the results of numerical simulations of shock acceleration.
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This article is published in Astroparticle Physics.The article was published on 2002-02-01. It has received 152 citations till now. The article focuses on the topics: Fermi acceleration & Particle acceleration.

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Citations
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Journal ArticleDOI

Cosmic rays in galaxy clusters and their nonthermal emission

TL;DR: In this article, radio observations prove the existence of relativistic particles and magnetic field associated with the intra-cluster medium (ICM) through the presence of extended synchrotron emission in the form of radio halos and peripheral relics.
Journal ArticleDOI

Cosmic rays in galaxy clusters and their non-thermal emission

TL;DR: In this article, the acceleration and transport of cosmic rays in galaxy clusters and the most relevant observational milestones that have provided important steps on our understanding of this physics are discussed in detail.
Journal ArticleDOI

Can diffusive shock acceleration in supernova remnants account for high-energy galactic cosmic rays?

TL;DR: However, the isotropy seriously challenges the assumed cosmic-ray trapping time and hence the shape of the spectrum of particles released from young supernova remnants, and there remains the possibility that the spectral shape of particles actually released is not as previously predicted as mentioned in this paper.
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The origin of galactic cosmic rays

TL;DR: In this article, the authors present a review of the ideas that have been and are being explored in order to account for the observable quantities related to cosmic rays and summarize the numerous new pieces of observation that are becoming available.
Journal ArticleDOI

The microphysics of collisionless shock waves

TL;DR: This review adresses the physics of shock formation, shock dynamics and particle acceleration based on a close examination of available multi-wavelength or in situ observations, analytical and numerical developments and focuses on the different instabilities triggered during the shock formation and in association with particle acceleration processes.
References
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Journal ArticleDOI

Particle acceleration at astrophysical shocks: A theory of cosmic ray origin

TL;DR: In this article, the theory of first order Fermi acceleration at collisionless astrophysical shock fronts is reviewed and it is argued that the wave amplitude is probably non-linear within sufficiently strong astrophysical shocks.
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An introduction to the theory of diffusive shock acceleration of energetic particles in tenuous plasmas

TL;DR: In this article, the central idea of diffusive shock acceleration is presented from microscopic and macroscopic viewpoints; applied to reactionless test particles in a steady plane shock, the mechanism is shown to produce a power law spectrum in momentum with a slope which, to lowest order in the ratio of plasma to particle speed, depends only on the compression in the shock.
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The plasma physics of shock acceleration

TL;DR: In this paper, a review of the history and theory of particle acceleration is presented, paying particular attention to theories of parallel shocks which include the backreaction of accelerated particles on the shock structure, and the work that computer simulations, both plasma and Monte Carlo, are playing in revealing how thermal ions interact with shocks.
Journal ArticleDOI

A Simple Model of Nonlinear Diffusive Shock Acceleration

TL;DR: In this article, the authors present a simple model of nonlinear diffusive shock acceleration (also called first-order Fermi shock acceleration) that determines the shock modification, spectrum, and efficiency of the process in the plane-wave, steady state approximation as a function of an arbitrary injection parameter, η.
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