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Recent radio observations have identified a class of structures, so-called radio relics, in clusters of galaxies. The radio emission from these sources is interpreted as synchrotron radiation from GeV electrons gyrating in microG-level…

High Energy Astrophysical Phenomena · Physics 2015-06-05 Hyesung Kang , Dongsu Ryu , T. W. Jones

Motivated by cosmic ray (CR) re-acceleration at a potential Galactic Wind Termination Shock (GWTS), we present a numerical model for time-dependent Diffusive Shock Acceleration (DSA). We use the stochastic differential equation solver…

High Energy Astrophysical Phenomena · Physics 2023-12-07 Sophie Aerdker , Lukas Merten , Julia Becker Tjus , Dominik Walter , Frederic Effenberger , Horst Fichtner

Context. Solar energetic particles observed in association with coronal mass ejections (CMEs) are produced by the CME-driven shock waves. The acceleration of particles is considered to be due to diffusive shock acceleration (DSA). Aims. We…

Space Physics · Physics 2016-03-30 Alexandr Afanasiev , Markus Battarbee , Rami Vainio

These notes present the fundamentals of Fermi acceleration at shocks, with a special attention to the role that supernova remnants have in producing Galactic cosmic rays. Then, the recent discoveries in the theory of diffusive shock…

High Energy Astrophysical Phenomena · Physics 2023-10-09 Damiano Caprioli

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

Supernova remnants (SNRs) are believed to produce the majority of galactic cosmic rays (CRs). SNRs harbor non-relativistic collisionless shocks responsible for acceleration of CRs via diffusive shock acceleration (DSA), in which particles…

High Energy Astrophysical Phenomena · Physics 2022-12-20 Artem Bohdan

The early acceleration of protons and electrons in the nonrelativistic collisionless shocks with three obliquities are investigated through 1D particle-in-cell simulations. In the simulations, the charged particles possessing a velocity of…

High Energy Astrophysical Phenomena · Physics 2020-05-06 Jun Fang , Chun-Yan Lu , Jing-Wen Yan , Huan Yu

Prescriptions for electron injection into the diffusive shock acceleration process are required in many practical considerations of cosmic-ray astrophysics, particularly in modeling of the synchrotron emission of astrophysical sources. In…

High Energy Astrophysical Phenomena · Physics 2021-01-01 Bojan Arbutina , Vladimir Zeković

A numerical scheme that incorporates a thermal leakage injection model into a combined gas dynamics and cosmic ray (CR, hereafter) diffusion-convection code has been developed. The particle injection is followed numerically by filtering the…

Astrophysics · Physics 2009-11-07 Hyesung Kang , T. W. Jones , U. D. J. Gieseler

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 present a model for the non-thermal emission from a colliding-wind binary. Relativistic protons and electrons are assumed to be accelerated through diffusive shock acceleration (DSA) at the global shocks bounding the wind-wind collision…

High Energy Astrophysical Phenomena · Physics 2020-04-29 J. M. Pittard , G. S. Vila , G. E. Romero

When two galaxy clusters encounter each other, the interaction results in a collisionless shock that is characterized by a low (1-4) sonic Mach number, and a high Alfv{\'e}nic Mach number. Our goal is to determine if, and to what extent,…

High Energy Astrophysical Phenomena · Physics 2020-06-24 Allard Jan van Marle

Diffusive shock acceleration (DSA) by relativistic shocks is thought to generate the $dN/dE\propto E^{-p}$ spectra of charged particles in various astronomical relativistic flows. We show that for test particles in one dimension (1D),…

High Energy Astrophysical Phenomena · Physics 2017-10-25 Uri Keshet

We explore nonlinear effects of wave-particle interactions on the diffusive shock acceleration (DSA) process in Type Ia-like, SNR blast waves, by implementing phenomenological models for magnetic field amplification, Alfv'enic drift, and…

High Energy Astrophysical Phenomena · Physics 2015-06-17 Hyesung Kang , T. W. Jones , Paul P. Edmon

Diffusive Shock Acceleration (DSA) cannot efficiently accelerate particles without the presence of self-consistently generated or pre-existing strong turbulence ($ \delta B/B \sim 1 $) in the vicinity of the shock. The problem we address in…

High Energy Astrophysical Phenomena · Physics 2018-05-23 Christian Garrel , Loukas Vlahos , Heinz Isliker , Theophilos Pisokas

We develop a self-consistent nonlinear extension of diffusive shock acceleration that incorporates cosmic ray (CR) backreaction on the shock precursor together with a physically motivated upstream-escape mechanism that produces an…

High Energy Astrophysical Phenomena · Physics 2026-02-17 Han-Xiang Hu , Xing-Jian Lv , Xiao-Jun Bi , Tian-Lu Chen , Kun Fang , Peng-Fei Yin

Particle acceleration in relativistic shocks of electron-positron plasmas with proton admixture is investigated through two-dimensional (2D) particle-in-cell (PIC) simulations. The upstream plasma, with a bulk Lorentz factor of $10$ and a…

High Energy Astrophysical Phenomena · Physics 2025-10-02 Huan Yu , Qi Xia , Jun Fang

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

Non-detection of $\gamma$-ray emission from galaxy clusters has challenged diffusive shock acceleration (DSA) of cosmic-ray (CR) protons at weak collisionless shocks that are expected to form in the intracluster medium. As an effort to…

High Energy Astrophysical Phenomena · Physics 2018-04-04 Hyesung Kang , Dongsu Ryu

Cosmic rays are charged particles that are accelerated to relativistic speeds by astrophysical shocks. Numerical models have been successful in confirming the acceleration process for (quasi-)parallel shocks, which have the magnetic field…

High Energy Astrophysical Phenomena · Physics 2024-07-09 Allard Jan van Marle , Artem Bohdan , Anabella Araudo , Fabien Casse , Alexandre Marcowith