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We point out that particles accelerated in a non-relativistic shock of compression ratio $r$ attain the standard, $p=(r+2)/(r-1)$ spectral index only under certain conditions. Previous derivations of the spectrum, based on the…

High Energy Astrophysical Phenomena · Physics 2020-07-07 Uri Keshet , Ofir Arad , Yuri Lyubarski

Galactic cosmic rays (CRs) are a fundamental non-thermal component of the interstellar medium (ISM). Understanding the transport of super-high-energy particles is essential for interpreting observations of Galactic PeVatrons. Classical…

High Energy Astrophysical Phenomena · Physics 2026-04-07 Yue Hu

We consider cosmic ray (CR) modified shocks with both streaming and diffusion in the two-fluid description. Previously, numerical codes were unable to incorporate streaming in this demanding regime, and have never been compared against…

High Energy Astrophysical Phenomena · Physics 2020-08-25 Tsun Hin Navin Tsung , S. Peng Oh , Yan-Fei Jiang

Observations of large-scale radio emissions prove the existence of shock accelerated cosmic-ray electrons in galaxy clusters, while the lack of detected $\gamma$-rays limits the acceleration of cosmic-ray protons in galaxy clusters. This…

High Energy Astrophysical Phenomena · Physics 2020-04-22 Denis Wittor , Franco Vazza , Dongsu Ryu , Hyesung Kang

We investigate the process of particle acceleration at the termination shock that develops in the bubble excavated by winds of star clusters in the interstellar medium. We develop a theory of diffusive shock acceleration at such shock and…

High Energy Astrophysical Phenomena · Physics 2021-08-05 Giovanni Morlino

The hypothesis that the entire cosmic ray spectrum, from $\lesssim1\,{\rm GeV}$ to $\gtrsim100\,{\rm EeV}$ energy, can be accounted for by diffusive shock acceleration on increasingly large scales is critically examined. Specifically, it is…

High Energy Astrophysical Phenomena · Physics 2023-09-19 Roger Blandford , Paul Simeon , Noémie Globus , Payel Mukhopadhyay , Enrico Peretti , Kirk S. S. Barrow

We present results from a fully relativistic Monte Carlo simulation of diffusive shock acceleration (DSA) in unmodified shocks. The computer code uses a single algorithmic sequence to smoothly span the range from nonrelativistic speeds to…

Astrophysics · Physics 2009-11-10 Donald C. Ellison , Glen P. Double

We report simulations of diffusive particle acceleration in oblique magnetohydrodynamical (MHD) shocks. These calculations are based on extension to oblique shocks of a numerical model for ``thermal leakage'' injection of particles at low…

Astrophysics · Physics 2009-10-28 Hyesung Kang , T. W. Jones

Stationary solutions to the equations of non-linear diffusive shock acceleration play a fundamental role in the theory of cosmic-ray acceleration. Their existence usually requires that a fraction of the accelerated particles be allowed to…

Astrophysics · Physics 2011-02-11 B. Reville , J. G. Kirk , P. Duffy

We consider a phenomenological model for the thermal leakage injection in the diffusive shock acceleration (DSA) process, in which suprathermal protons and electrons near the shock transition zone are assumed to have the so-called…

High Energy Astrophysical Phenomena · Physics 2015-06-19 Hyesung Kang , Vahe Petrosian , Dongsu Ryu , T. W. Jones

Recent gamma ray observations show that middle aged supernova remnants interacting with molecular clouds can be sources of both GeV and TeV emission. Models involving re-acceleration of pre-existing cosmic rays in the ambient medium and…

High Energy Astrophysical Phenomena · Physics 2015-06-23 Xiaping Tang , Roger A. Chevalier

We introduce a Monte Carlo model of nonlinear diffusive shock acceleration allowing for the generation of large-amplitude magnetic turbulence. The model is the first to include strong wave generation, efficient particle acceleration to…

Astrophysics · Physics 2008-11-26 Andrey Vladimirov , Donald C. Ellison , Andrei Bykov

Interplanetary Coronal Mass Ejection (ICME) shocks are known to accelerate particles and contribute significantly to Solar Energetic Particle (SEP) events. We have performed Magnetohydrodynamic-Particle in Cell (MHD-PIC) simulations of ICME…

Solar and Stellar Astrophysics · Physics 2021-12-22 Shanwlee Sow Mondal , Aveek Sarkar , Bhargav Vaidya , Andrea Mignone

Collisionless plasma shocks are efficient sources of non-thermal particle acceleration in space and astrophysical systems. We use hybrid (kinetic ions -- fluid electrons) simulations to examine the non-linear feedback of the self-generated…

High Energy Astrophysical Phenomena · Physics 2020-12-16 Colby C. Haggerty , Damiano Caprioli

Three approaches are considered to solve the equation which describes the time-dependent diffusive shock acceleration of test particles at the non-relativistic shocks. At first, the solution of Drury (1983) for the particle distribution…

High Energy Astrophysical Phenomena · Physics 2016-08-31 Oleh Petruk , Bohdan Kopytko

Diffusive shock acceleration (DSA) at relativistic shocks is likely to be an important acceleration mechanism in various astrophysical jet sources, including radio-loud AGN. An important recent development for blazar science is the ability…

High Energy Astrophysical Phenomena · Physics 2015-06-18 Matthew G. Baring , Markus Boettcher , Errol J. Summerlin

Theoretical studies of cosmic ray particle acceleration in the first-order Fermi process at relativistic shocks are reviewed. At the beginning we discuss the acceleration processes acting at mildly relativistic shock waves. An essential…

Astrophysics · Physics 2007-05-23 Michal Ostrowski

Radio relics in the outskirts of galaxy clusters imply the diffusive shock acceleration (DSA) of electrons at merger-driven shocks with Mach number $M_{s}\lesssim3-4$ in the intracluster medium (ICM). Recent studies have suggested that…

High Energy Astrophysical Phenomena · Physics 2022-02-02 Ji-Hoon Ha , Dongsu Ryu , Hyesung Kang , Sunjung Kim

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

The dynamical reaction of the particles accelerated at a shock front by the first order Fermi process can be determined within kinetic models that account for both the hydrodynamics of the shocked fluid and the transport of the accelerated…

Astrophysics · Physics 2009-11-11 P. Blasi , S. Gabici , G. Vannoni
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