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This review aims at providing an up-to-date status and a general introduction to the subject of the numerical study of energetic particle acceleration and transport in turbulent astrophysical flows. The subject is also complemented by a…

High Energy Astrophysical Phenomena · Physics 2020-02-26 A. Marcowith , G. Ferrand , M. Grech , Z. Meliani , I. Plotnikov , R. Walder

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

When supersonic plasma flows collide, many physical processes contribute to the morphology of the resulting shock. One of these processes is the acceleration of non-thermal ions, which will, eventually, reach relativistic speeds and become…

High Energy Astrophysical Phenomena · Physics 2025-09-16 Allard Jan van Marle

The character of star formation is intimately related to the supersonic magnetohydrodynamic (MHD) turbulent dynamics of the molecular clouds in which stars form. A significant amount of the turbulent energy dissipates in low velocity…

Astrophysics of Galaxies · Physics 2015-10-09 Andrew Lehmann , Mark Wardle

In three-dimensional electromagnetic configurations that result from unstable resistive tearing modes particles can efficiently be accelerated to relativistic energies. To prove this resistive magnetohydrodynamic simulations are used as…

Astrophysics · Physics 2009-11-07 Christoph Nodes , Guido T. Birk , Harald Lesch , R. Schopper

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

Particle acceleration at astrophysical shocks may be very efficient if magnetic scattering is self-generated by the same particles. This nonlinear process adds to the nonlinear modification of the shock due to the dynamical reaction of the…

Astrophysics · Physics 2009-11-11 Elena Amato , Pasquale Blasi

Particle acceleration at plasma shocks appears to be ubiquitous in the universe, spanning systems in the heliosphere, supernova remnants, and relativistic jets in distant active galaxies and gamma-ray bursts. This review addresses some of…

Astrophysics · Physics 2008-11-26 Matthew G. Baring

We discuss the generic characteristics of stochastic particle acceleration by a fully developed turbulence spectrum and show that resonant interactions of particles with high speed waves dominate the acceleration process. To produce the…

Astrophysics · Physics 2009-11-13 Siming Liu , Zhong-Hui Fan , Christopher L. Fryer

Observational and theoretical evidence suggest that beams of accelerated particles are produced in flaring events of all sizes in the solar atmosphere, from X-class flares to nanoflares. Current models of these types of particles in flaring…

Solar and Stellar Astrophysics · Physics 2020-10-28 L. Frogner , B. V. Gudiksen , H. Bakke

Context. We introduce a model for including accelerated particles in pure magnetohydrodynamics (MHD) simulations of the solar atmosphere. Aims. We show that the method is viable and produces results that enhance the realism of MHD…

Solar and Stellar Astrophysics · Physics 2018-12-05 Helle Bakke , Lars Frogner , Boris Vilhelm Gudiksen

Stochastic acceleration of charged particles due to interactions with magnetohydrodynamic (MHD) plasma waves is the dominant process leading to the formation of the high-energy electron and ion distributions in a variety of astrophysical…

Astrophysics · Physics 2008-11-26 P. A. Becker , T. Le , C. D. Dermer

A shock wave propagating perpendicularly to an ambient magnetic field accelerates particles considerably faster than in the parallel propagation regime. However, the perpendicular acceleration stops after the shock overruns a circular…

High Energy Astrophysical Phenomena · Physics 2023-02-06 Mikhail Malkov , Martin Lemoine

The existence and extent of non-thermal phenomena in galaxy clusters is now well established. A key question in our understanding of these phenomena is the origin of the relativistic electrons which may be constrained by the modelling of…

Astrophysics · Physics 2015-06-24 Gianfranco Brunetti

Relativistic sources, e.g. gamma-ray bursts, pulsar wind nebulae and powerful active galactic nuclei produce relativistic outflows that lead to the formation of collisionless shock waves, where particle acceleration is thought to take…

High Energy Astrophysical Phenomena · Physics 2015-06-03 Martin Lemoine , Guy Pelletier

Particles crossing repeatedly the surface of a shock wave can be energized by first order Fermi acceleration. The linear theory is successful in describing the acceleration process as long as the pressure of the accelerated particles…

Astrophysics · Physics 2009-11-10 Pasquale Blasi

Unpulsed, high-energy emission from pulsar binaries can be attributed to the interaction of a pulsar wind with that of a companion star. At the shock between the outflows, particles carried away from the pulsar magnetosphere are accelerated…

High Energy Astrophysical Phenomena · Physics 2015-06-15 Iwona Mochol , John G. Kirk

Energetic particles are ubiquitous in space and astrophysical plasmas, and interplanetary shocks are widely regarded as one of the main particle accelerators in the heliosphere. Indeed, in-situ measurements typically show that energetic…

Solar and Stellar Astrophysics · Physics 2026-04-17 Giuseppe Prete , Gaetano Zimbardo , Silvia Perri

Context: Solar flares accelerate electrons, creating non-thermal energy distributions. However, the acceleration sites and dominant acceleration mechanisms remain largely unknown. Aims: We study the characteristics of electron acceleration…

Solar and Stellar Astrophysics · Physics 2025-11-12 Eilif S. Øyre , Boris V. Gudiksen , Lyndsay Fletcher

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