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We consider the acceleration of particles due to a velocity shear in relativistic astrophysical flows. The basic physical picture and the formation of power law momentum spectra is discussed for a non-relativistic velocity field using a…

Astrophysics · Physics 2014-10-13 Frank M. Rieger , Peter Duffy

We consider the acceleration of energetic particles by a velocity shear in the relativistic background flow containing scattering centers. Three possible acceleration sites for astrophysical jets are identified: (1) gradual velocity shear…

Astrophysics · Physics 2009-11-10 Frank M. Rieger , Peter Duffy

The acceleration of energetic particles in astrophysical shear flows is analyzed. We show that in the presence of a non-relativistic gradual velocity shear, power law particle momentum distributions $f(p) \propto p^{-(3+\alpha)}$ may be…

Astrophysics · Physics 2009-11-10 F. M. Rieger , P. Duffy

Shear flows are naturally expected to occur in astrophysical environments and potential sites of continuous non-thermal Fermi-type particle acceleration. Here we investigate the efficiency of expanding relativistic outflows to facilitate…

High Energy Astrophysical Phenomena · Physics 2016-12-14 F. M. Rieger , P. Duffy

We examine limits to the efficiency for particles acceleration in shearing flows, showing that relativistic flow speeds are required for efficient gradual shear acceleration. We estimate maximum achievable particle energies for parameters…

High Energy Astrophysical Phenomena · Physics 2020-01-08 Frank M. Rieger , Peter Duffy

Gradual shear acceleration of energetic particles in gamma-ray burst (GRB) jets is considered. Special emphasis is given to the analysis of universal structured jets, and characteristic acceleration timescales are determined for a power-law…

Astrophysics · Physics 2009-11-13 Frank M. Rieger , Peter Duffy

X-ray observations of kilo-parsec scale jets indicate that a synchrotron origin of the sustained non-thermal emission is likely. This requires distributed acceleration of electrons up to near PeV energies along the jet. The underlying…

High Energy Astrophysical Phenomena · Physics 2021-05-26 Jie-Shuang Wang , Brian Reville , Ruo-Yu Liu , Frank M. Rieger , Felix A. Aharonian

Shear flows are ubiquitously present in space and astrophysical plasmas. This paper highlights the central idea of the non-thermal acceleration of charged particles in shearing flows and reviews some of the recent developments. Topics…

High Energy Astrophysical Phenomena · Physics 2019-09-17 Frank M. Rieger

A plasma velocity shear layer and/or a tangential flow discontinuity provide conditions allowing for energetic particle acceleration. We review such acceleration processes acting both in non-relativistic and in relativistic flows. In…

Astrophysics · Physics 2007-05-23 M. Ostrowski

We consider the acceleration of energetic particles by Fermi processes (i.e., diffusive shock acceleration, second order Fermi acceleration, and gradual shear acceleration) in relativistic astrophysical jets, with particular attention given…

Astrophysics · Physics 2008-11-26 Frank M. Rieger , Valenti Bosch-Ramon , Peter Duffy

We model the acceleration of energetic particles due to shear and centrifugal effects in rotating astrophysical jets. The appropriate equation describing the diffusive transport of energetic particles in a collisionless, rotating background…

Astrophysics · Physics 2009-11-07 F. M. Rieger , K. Mannheim

We consider the acceleration of charged particles in relativistic shearing flows, with Lorentz factor up to $\Gamma_0 \sim 20$. We present numerical solutions to the particle transport equation and compare these with results from analytical…

High Energy Astrophysical Phenomena · Physics 2022-07-20 Frank M. Rieger , Peter Duffy

We discuss processes accelerating cosmic ray electrons at boundaries of relativistic jets. The resulting spectrum is expected to posses two characteristic components: a power-law distribution at lower energies and a harder high energy…

Astrophysics · Physics 2007-05-23 M. Ostrowski , L. Stawarz

A microscopic analysis of the viscous energy gain of energetic particles in (gradual) non-relativistic shear flows is presented. We extend previous work and derive the Fokker-Planck coefficients for the average rate of momentum change and…

Astrophysics · Physics 2008-11-26 Frank M. Rieger , Peter Duffy

We develop a theory of particle acceleration inside relativistic rotating electron-positron force-free jets with spiral magnetic fields. We considered perturbation of the stationary magnetic field structure and found that acceleration takes…

Astrophysics · Physics 2009-11-07 A. R. Beresnyak , Ya. N. Istomin , V. I. Pariev

Shear flows, ubiquitous in space and astrophysical plasmas, can accelerate particles through turbulence excited by the Kelvin-Helmholtz instability. We present the first numerical study of particle acceleration in non-relativistic,…

High Energy Astrophysical Phenomena · Physics 2025-12-16 Mingxuan Liu , Mateusz Ruszkowski , Ellen Zweibel , Xiaochen Sun , Damiano Caprioli , Naixin Liang , Siang Peng Oh , Anatoly Spitkovsky

Theoretical concepts ofn cosmic ray particle acceleration at relativistic plasma flows -- shocks and shear layers -- are reviewed. We begin with a discussion of mildly relativistic shock waves. The role of oblique field configurations and…

Astrophysics · Physics 2007-05-23 M. Ostrowski

The origin of the extended X-ray emission in the large-scale jets of active galactic nuclei (AGNs) poses challenges to conventional models of acceleration and emission. Although the electron synchrotron radiation is considered the most…

High Energy Astrophysical Phenomena · Physics 2017-06-28 Ruo-Yu Liu , F. M. Rieger , F. A. Aharonian

We explore constraints imposed by shear-driven instabilities on the acceleration of energetic particles in relativistic shearing flows. We show that shearing layers in large-scale AGN jets are likely to encompass a sizeable fraction ($\geq…

High Energy Astrophysical Phenomena · Physics 2021-01-27 Frank M. Rieger , Peter Duffy

X-ray observations of several kiloparsec-scale extragalactic jets favour a synchrotron origin. The short cooling times of the emitting electrons requires distributed acceleration of electrons up to sub-PeV energies. In a previous paper, we…

High Energy Astrophysical Phenomena · Physics 2023-01-11 Jie-Shuang Wang , Brian Reville , Yosuke Mizuno , Frank M. Rieger , Felix A. Aharonian
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