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The generalized jump relations across the magnetohydrodynamic (MHD) shock front in non-ideal gas are derived considering the equation of state for non-ideal gas as given by Landau and Lifshitz. The jump relations for pressure, density, and…

High Energy Astrophysical Phenomena · Physics 2015-06-11 R. K. Anand

Astrophysical explosions are accompanied by the propagation of a shock wave through an ambient medium. Depending on the mass and energy involved in the explosion, the shock velocity $V$ can be non-relativistic ($V \ll c$, where $c$ is the…

High Energy Astrophysical Phenomena · Physics 2019-08-07 Eric R. Coughlin

We present a five-wave Riemann solver for the equations of ideal relativistic magnetohydrodynamics. Our solver can be regarded as a relativistic extension of the five-wave HLLD Riemann solver initially developed by Miyoshi and Kusano for…

Astrophysics · Physics 2015-05-13 A. Mignone , M. Ugliano , G. Bodo

We review recent progress on collisionless relativistic shocks. Kinetic instability theory is briefed including its predictions and limitations. The main focus is on numerical experiments in (i) pair and (ii) electron-nucleon plasmas. The…

High Energy Astrophysical Phenomena · Physics 2011-10-20 A. M. Bykov , R. A. Treumann

Shock jump conditions are obtained for steady-state, plane shocks with oblique magnetic fields and arbitrary flow speeds. For ultrarelativistic and nonrelativistic shocks, the jump conditions may be solved analytically. For mildly…

Astrophysics · Physics 2009-11-10 Glen P. Double , Matthew G. Baring , Frank C. Jones , Donald C. Ellison

In this article, we have presented non-relativistic boundary conditions across a magnetohydrodynamic (MHD) shock front propagating in van der Waals gases. The expression for the strength of the non-relativistic MHD shock wave has been…

High Energy Astrophysical Phenomena · Physics 2025-07-11 Raj Kumar Anand

Relativistic collisionless shocks are associated with efficient particle acceleration when propagating into weakly magnetized homogeneous media; as the magnetization increases, particle acceleration becomes suppressed. We demonstrate that…

High Energy Astrophysical Phenomena · Physics 2023-04-26 Camilia Demidem , Joonas Nättilä , Alexandra Veledina

In this thesis different numerical methods, as well as applications of the methods to a number of current problems in relativistic astrophysics, are presented. In the first part the theoretical foundation and numerical implementation of a…

Astrophysics · Physics 2009-09-29 Troels Haugboelle

Shockwaves in plasma are usually dealt with using Magnetohydrodynamics (MHD). Yet, MHD entails the assumption of a short mean free path, which is not fulfilled in a collisionless plasma. Recently, for pair plasmas, we devised a model…

Plasma Physics · Physics 2023-01-04 Antoine Bret , Ramesh Narayan

We study the evolution of one-dimensional relativistic jets, using the exact solution of the Riemann problem for relativistic flows. For this purpose, we solve equations for the ideal special relativistic fluid composed of dissimilar…

High Energy Astrophysical Phenomena · Physics 2021-03-08 Raj Kishor Joshi , Indranil Chattopadhyay , Dongsu Ryu , Lallan Yadav

We calculate the structure of a relativistic shock wave in which the internal energy of the shocked fluid is radiated away on a time scale much shorter than the characteristic shock propagation time. The shock is assumed to move through a…

Astrophysics · Physics 2009-11-06 Jonathan Granot , Arieh Konigl

As a shock front interacts with turbulence, it develops corrugation which induces outgoing wave modes in the downstream plasma. For a fast shock wave, the incoming wave modes can either be fast magnetosonic waves originating from…

High Energy Astrophysical Phenomena · Physics 2016-08-17 M. Lemoine , O. Ramos , L. Gremillet

We explore analytically the structure of relativistic shock and solitary wave solutions in collisionless plasmas. In the wave frame of reference, a cold plasma is flowing from one end and impacting on a low velocity plasma. First we show…

Astrophysics · Physics 2007-05-23 David Medvigy , Abraham Loeb

For an accurate treatment of the shock wave propagation in high-energy astrophysical phenomena, such as supernova shock breakouts, gamma-ray bursts and accretion disks, knowledge of radiative transfer plays a crucial role. In this paper we…

High Energy Astrophysical Phenomena · Physics 2016-03-01 Alexey Tolstov , Sergey Blinnikov , Shigehiro Nagataki , Ken'ichi Nomoto

Perpendicular relativistic ($\gamma_0=10$) shocks in magnetized pair plasmas are investigated using two dimensional Particle-in-Cell simulations. A systematic survey, from unmagnetized to strongly magnetized shocks, is presented accurately…

High Energy Astrophysical Phenomena · Physics 2018-04-25 Illya Plotnikov , Anna Grassi , Mickael Grech

We have generalised the exact solution of the Riemann problem in special relativistic hydrodynamics for arbitrary tangential flow velocities. The solution is obtained by solving the jump conditions across shocks plus an ordinary…

Astrophysics · Physics 2017-05-17 Jose A. Pons , Jose Ma. Marti , Ewald Mueller

In this article, we have derived Rankine-Hugoniot (RH) jump conditions across a magnetohydrodynamic (MHD) shock front propagating in a dusty gas atmosphere. The dusty gas atmosphere is assumed to be a mixture of a perfect gas and small…

High Energy Astrophysical Phenomena · Physics 2025-02-18 Raj Kumar Anand

Ultra-relativistic plasma outflows are intrinsically connected with gamma-ray bursts. Over the years, a large number of analytical and numerical works has been devoted to understanding the intricacies of their complex dynamics, with most of…

High Energy Astrophysical Phenomena · Physics 2025-10-17 Argyrios Loules , Nektarios Vlahakis

Relativistic collisionless shocks are believed to be efficient particle accelerators. Nonlinear outcome of the interaction of accelerated particles that run ahead of the shock, the so-called "precursor", with the unperturbed plasma of the…

High Energy Astrophysical Phenomena · Physics 2015-05-28 Ehud Nakar , Antoine Bret , Milos Milosavljevic

We have extended the procedure to find the exact solution of the Riemann problem in relativistic hydrodynamics to a particular case of relativistic magnetohydrodynamics in which the magnetic field of the initial states is tangential to the…

Astrophysics · Physics 2009-11-13 Roberto Romero , Jose M. Marti , Jose A. Pons , Jose M. Ibanez , Juan A. Miralles
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