On Particle Acceleration around Shocks. II. A Fully General Method for Arbitrary Shock Velocities and Scattering Media

@article{Blasi2005OnPA,
  title={On Particle Acceleration around Shocks. II. A Fully General Method for Arbitrary Shock Velocities and Scattering Media},
  author={Pasquale Blasi and Mario Vietri},
  journal={The Astrophysical Journal},
  year={2005},
  volume={626},
  pages={877 - 886},
  url={https://api.semanticscholar.org/CorpusID:5989428}
}
The probability that a particle, crossing the shock along a given direction, is reflected backward along another direction was shown to be the key element in determining the spectrum of nonthermal particles accelerated via the Fermi mechanism around a plane-parallel shock in the test-particle limit. Here an explicit equation for this probability distribution is given for both the upstream and downstream sections. Although analytically intractable, this equation is solved numerically, allowing… 
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14 References

On Particle Acceleration around Shocks. I.

We derive a relativistically covariant (although not manifestly so) equation for the distribution function of particles accelerated at shocks, which applies also to extremely relativistic shocks and…

On the acceleration of charged particles at relativistic shock fronts

The diffusive acceleration of highly relativistic particles at a shock is reconsidered. Using the same physical assumptions as Blandford and Ostriker (1978), but dropping the restriction to…

First-order Fermi particle acceleration by relativistic shocks

Monte Carlo calculations of test particle spectra and acceleration times are presented from first-order Fermi particle acceleration for parallel shocks with arbitrary flow velocities and compression…

Application of random walk theory to the first-order Fermi acceleration in shock waves

We formulate the first-order Fermi acceleration in shock waves in terms of the random walk theory. The formulation is applicable to any value of the shock speed and the particle speed – in…

submitted to ApJ Particle acceleration at ultrarelativistic shocks: an eigenfunction method

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  • 2000

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Approximate methods for the solution of the Chandrasekhar H‐equation

We consider two methods of approximate solution to matrix valued analogs of the Chandrasekhar H‐equation. We give conditions under which they converge. The first method is a generalization of…

Table of Integrals, Series, and Products

Introduction. Elementary Functions. Indefinite Integrals of Elementary Functions. Definite Integrals of Elementary Functions. Indefinite Integrals of Special Functions. Definite Integrals of Special…

The acceleration of cosmic rays in shock fronts – I