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The rate at which particles are accelerated by the first-order Fermi mechanism in shocks depends on the angle, \teq{\Tbone}, that the upstream magnetic field makes with the shock normal. The greater the obliquity the greater the rate, and…

Astrophysics · Physics 2009-10-28 D. C. Ellison , M. G. Baring , F. C. Jones

First-order Fermi acceleration processes at ultrarelativistic shocks are studied with Monte Carlo simulations. The accelerated particle spectra are obtained by integrating the exact particle trajectories in a turbulent magnetic field near…

Astrophysics · Physics 2009-11-13 Jacek Niemiec

We explore the physics of shock evolution and particle acceleration in non-relativistic collisionless shocks using multidimensional hybrid simulations. We analyze a wide range of physical parameters relevant to the acceleration of cosmic…

High Energy Astrophysical Phenomena · Physics 2015-05-28 L. Gargaté , A. Spitkovsky

Understanding the conditions conducive to particle acceleration at collisionless, non-relativistic shocks is important for the origin of cosmic rays. We use hybrid (kinetic ions -- fluid electrons) kinetic simulations to investigate…

High Energy Astrophysical Phenomena · Physics 2023-09-07 Luca Orusa , Damiano Caprioli

We perform Monte Carlo simulations of diffusive shock acceleration at highly relativistic oblique shock waves. High upstream flow Lorentz gamma factors are used, which are relevant to models of ultra relativistic particle shock acceleration…

Astrophysics · Physics 2010-11-15 A. Meli , J. J. Quenby

We investigate the process of Diffusive Shock Acceleration (DSA) of particles with mass number to charge number ratios $A/Q > 1$, e.g., partially-ionized heavy ions. To this end, we introduce helium- and carbon-like ions at solar abundances…

High Energy Astrophysical Phenomena · Physics 2025-10-31 Damiano Caprioli , Luca Orusa , Miha Cernetic , Colby C. Haggerty , Bricker Ostler

The relativistic wind of obliquely-rotating pulsars consists of toroidal stripes of opposite magnetic field polarity, separated by current sheets of hot plasma. By means of two- and three-dimensional particle-in-cell simulations, we…

High Energy Astrophysical Phenomena · Physics 2015-05-28 Lorenzo Sironi , Anatoly Spitkovsky

Understanding the conditions that enable particle acceleration at non-relativistic collisionless shocks is essential to unveil the origin of cosmic rays. We employ 2D and 3D hybrid simulations (with kinetic ions and fluid electrons) to…

High Energy Astrophysical Phenomena · Physics 2026-04-21 Luca Orusa , Damiano Caprioli , Lorenzo Sironi , Anatoly Spitkovsky

Using the Monte Carlo simulations we apply a method of discrete small amplitude particle momentum scattering to reproduce highly anisotropic conditions at relativistic shocks. We discusse acceleration times scales in relativistic shocks.…

Astrophysics · Physics 2016-08-30 Janusz Bednarz

We model the diffusive shock acceleration of particles in a system of two colliding shock waves and present a method to solve the time-dependent problem analytically in the test-particle approximation and high energy limit. In particular,…

High Energy Astrophysical Phenomena · Physics 2020-05-06 Thibault Vieu , Stefano Gabici , Vincent Tatischeff

We extend the eigenfunction method of computing the power-law spectrum of particles accelerated at a relativistic shock fronts to apply to shocks of arbitrarily high Lorentz factor. In agreement with the findings of Monte-Carlo simulations,…

Astrophysics · Physics 2009-10-31 J. G. Kirk , A. W. Guthmann , Y. A. Gallant , A. Achterberg

The recent discoveries in the theory of diffusive shock acceleration (DSA) that stem from first-principle kinetic plasma simulations are discussed. When ion acceleration is efficient, the back-reaction of non-thermal particles and…

High Energy Astrophysical Phenomena · Physics 2022-09-21 Damiano Caprioli , Colby Haggerty , Pasquale Blasi

Collisionless shock waves, found in supernova remnants, interstellar, stellar, and planetary environments, and laboratories, are one of nature's most powerful particle accelerators. This study combines in situ satellite measurements with…

High Energy Astrophysical Phenomena · Physics 2025-03-05 Savvas Raptis , Ahmad Lalti , Martin Lindberg , Drew L. Turner , Damiano Caprioli , James L. Burch

We examine the test-particle solution for diffusive shock acceleration, based on simple models for thermal leakage injection and Alfv'enic drift. The critical injection rate, \xi_c, above which the cosmic ray (CR) pressure becomes…

High Energy Astrophysical Phenomena · Physics 2015-05-19 Hyesung Kang , Dongsu Ryu

Efficient relativistic turbulent acceleration of particles is indicated by recent astrophysical observations. The Type II mechanism with acceleration due to the temporal variations of magnetic field strengths remains underexplored. The…

High Energy Astrophysical Phenomena · Physics 2026-05-08 Saikat Das , Siyao Xu , Joonas Nättilä

Shock waves propagating in collisionless heliospheric and astrophysical plasmas have been studied extensively over the decades. One prime motivation is to understand the nonthermal particle acceleration at shocks. Although the theory of…

High Energy Astrophysical Phenomena · Physics 2022-09-09 T. Amano , Y. Matsumoto , A. Bohdan , O. Kobzar , S. Matsukiyo , M. Oka , J. Niemiec , M. Pohl , M. Hoshino

The process of diffusive acceleration of charged particles in shocked plasmas is widely invoked in astrophysics to account for the ubiquitous presence of signatures of non-thermal relativistic electrons and ions in the universe. A key…

Astrophysics · Physics 2009-11-10 Matthew G. Baring

In the theory of diffusive acceleration at oblique shock fronts the question of the existence of a discontinuity of energetic particle density is contentious. The resolution of this problem is interesting from a theoretical point of view,…

Astrophysics · Physics 2011-05-23 U. D. J. Gieseler , J. G. Kirk , Y. A. Gallant , A. Achterberg

A leading explanation for the origin of Galactic cosmic rays is acceleration at high-Mach number shock waves in the collisionless plasma surrounding young supernova remnants. Evidence for this is provided by multi-wavelength non-thermal…

High Energy Astrophysical Phenomena · Physics 2017-08-02 A. Masters , A. H. Sulaiman , Ł. Stawarz , B. Reville , N. Sergis , M. Fujimoto , D. Burgess , A. J. Coates , M. K. Dougherty

Kinetic approaches provide an effective description of the process of particle acceleration at shock fronts and allow to take into account the dynamical reaction of the accelerated particles as well as the amplification of the turbulent…

Astrophysics · Physics 2009-11-13 Elena Amato , Pasquale Blasi , Stefano Gabici
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