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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

We show that shock polars for ideal non-polytropic gas (thermally but not calorically perfect) have a unique velocity angle maximum, the critical shock, assuming convex equation of state (positive fundamental derivative) and other standard…

Fluid Dynamics · Physics 2021-01-29 Volker W. Elling

We propose simple, explicit, analytical approximations for the kinematics of an adiabatic blast wave propagating in an exponentially stratified ambient medium, and for the onset of radiative cooling, which ends the adiabatic era. Our…

Astrophysics · Physics 2009-10-31 Witold Maciejewski , Donald P. Cox

We model strong forward shocks in young supernova remnants with efficient particle acceleration where a nonresonant instability driven by the cosmic ray current amplifies magnetic turbulence in the shock precursor. Particle injection,…

High Energy Astrophysical Phenomena · Physics 2015-05-13 Andrey E. Vladimirov , Andrei M. Bykov , Donald C. Ellison

Context: Multiwavelength observations of supernova remnants can be explained within the framework of the diffusive shock acceleration theory, which allows effective conversion of the explosion energy into cosmic rays. Although the models of…

Astrophysics · Physics 2009-11-13 L. O'C. Drury , F. A. Aharonian , D. Malyshev , S. Gabici

The acceleration mechanism at ultrarelativistic shocks is investigated using the Monte Carlo simulations. We apply a method of discrete small amplitude particle momentum scattering to reproduce highly anisotropic conditions at the shock and…

Astrophysics · Physics 2009-10-31 Janusz Bednarz

Using an eigenfunction expansion to solve the transport equation, complemented by Monte-Carlo simulations, we show that ultrarelativistic shocks can be effective particle accelerators even when they fail to produce large amplitude…

Plasma Physics · Physics 2022-12-21 John G. Kirk , Brian Reville , Zhi-Qiu Huang

Diffusive shock acceleration is considered as the main mechanism for particle energization in supernova remnants, as well as in other classes of sources. The existence of some remnants that show a bilateral morphology in the X-rays and…

High Energy Astrophysical Phenomena · Physics 2019-08-07 Pierre Cristofari , Pasquale Blasi

Recent gamma-ray observations of middle-aged supernova remnants revealed a mysterious broken power-law spectrum. Using three-dimensional magnetohydrodynamics simulations, we show that the interaction between a supernova blast wave and…

High Energy Astrophysical Phenomena · Physics 2015-05-20 Tsuyoshi Inoue , Ryo Yamazaki , Shu-ichiro Inutsuka

A new solution method is presented for steady-state, momentum-conserving, non-axisymmetric bow shocks and colliding winds in the thin-shell limit. This is a generalization of previous formulations to include a density gradient in the…

Astrophysics · Physics 2009-10-31 Francis P. Wilkin

Diffusive shock acceleration is the prime candidate for efficient acceleration of cosmic rays. Galactic cosmic rays are believed to originate predominantly from this process in supernova remnant shock waves. Confinement of the cosmic rays…

High Energy Astrophysical Phenomena · Physics 2011-10-07 K. M. Schure , A. R. Bell

A mathematical approach to investigate particle acceleration at shock waves moving at arbitrary speed in a medium with arbitrary scattering properties was first discussed in (Vietri 2003) and (Blasi & Vietri 2005}. We use this method and…

Astrophysics · Physics 2009-11-13 G. Morlino , P. Blasi , M. Vietri

Understanding the evolution of a supernova remnant shell in time is fundamental. Such understanding is critical to build reliable models of the dynamics of the supernova remnant shell interaction with any pulsar wind nebula it might…

High Energy Astrophysical Phenomena · Physics 2021-09-22 R. Bandiera , N. Bucciantini , J. Martín , B. Olmi , D. F. Torres

The non-linear back reaction of accelerated cosmic rays at the shock fronts, leads to the formation of a smooth precursor with a length scale corresponding to the diffusive scale of the energetic particles. Past works claimed that shocklets…

Astrophysics · Physics 2007-08-13 A. Meli , P. L. Biermann , S. Dimitrakoudis

Numerous astrophysical shock waves evolve in an environment where the radiative cooling behind the shock affects the hydrodynamical structure downstream, thereby influencing the potential for particle acceleration via diffusive shock…

High Energy Astrophysical Phenomena · Physics 2026-01-14 Pierre Cristofari

The collision of two plasma clouds at a speed that exceeds the ion acoustic speed can result in the formation of shocks. This phenomenon is observed not only in astrophysical scenarios such as the propagation of supernova remnant (SNR)…

High Energy Astrophysical Phenomena · Physics 2015-06-19 Mark Eric Dieckmann , Gianluca Sarri , Domenico Doria , Hamad Ahmed , Marco Borghesi

We examine the effect of uniform ambient magnetic fields on the evolution of supernova-driven blast waves into a homogeneous ambient ISM in thermal equilibrium. Using the Pencil Code we simulate high resolution nonideal magnetohydrodynamic…

High Energy Astrophysical Phenomena · Physics 2019-09-24 Cetin Can Evirgen , Frederick Gent

We formulate a scaling theory for the long-time diffusive motion in a space occluded by a high density of moving obstacles in dimensions 1, 2 and 3. Our tracers diffuse anomalously over many decades in time, before reaching a diffusive…

Statistical Mechanics · Physics 2024-10-22 H. Bendekgey , G. Huber , D. Yllanes

We study how different types of blow-ups can occur in systems of hyperbolic evolution equations of the type found in general relativity. In particular, we discuss two independent criteria that can be used to determine when such blow-ups can…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Bernd Reimann , Miguel Alcubierre , José A. González , Darío Núñez

The results of MHD plane shock waves with infinite electrical conductivity are generalized for a plasma with a finite conductivity. We derive the adiabatic curves that describe the evolution of the shocked gas as well as the change in the…

Plasma Physics · Physics 2009-11-10 A. Kandus , R. Opher