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These lecture notes and example problems are based on a course given at the University of Cambridge in Part III of the Mathematical Tripos. Fluid dynamics is involved in a very wide range of astrophysical phenomena, such as the formation…

Solar and Stellar Astrophysics · Physics 2016-05-25 Gordon I. Ogilvie

It has been suggested that relativistic shocks in extragalactic sources may accelerate the most energetic cosmic rays. However, recent theoretical advances indicating that relativistic shocks are probably unable to accelerate particles to…

High Energy Astrophysical Phenomena · Physics 2016-05-03 Anabella T. Araudo , Anthony R. Bell , Katherine M. Blundell

Among the various attempts to understand collisionless absorption of intense ultrashort laser pulses a variety of models has been invented to describe the laser beam target interaction. In terms of basic physics collisionless absorption is…

Plasma Physics · Physics 2015-03-16 T. Liseykina , P. Mulser , M. Murakami

This paper presents results from axisymmetric simulations of magneto-rotational stellar core collapse to neutron stars in general relativity using the passive field approximation for the magnetic field. These simulations are performed using…

Astrophysics · Physics 2009-11-13 P. Cerdá-Durán , J. A. Font , H. Dimmelmeier

A fully relativistically covariant formulation of the classical Maxwell electrodynamics of an arbitrarily-moving point charge is presented, purely in terms of gauge invariant potentials without entailing any gauge fixing. A new,…

Classical Physics · Physics 2019-05-21 Anarya Ray , Parthasarathi Majumdar , Zahid Ansari

We present a new numerical method of special relativistic resistive magnetohydrodynamics with scalar resistivity that can treat a range of phenomena, from nonrelativistic to relativistic (shock, contact discontinuity, and Alfv\'en wave).…

High Energy Astrophysical Phenomena · Physics 2015-05-28 Makoto Takamoto , Tsuyoshi Inoue

The present paper is the last of a series studying the first-order Fermi acceleration processes at relativistic shock waves with the method of Monte Carlo simulations applied to shocks propagating in realistically modeled turbulent magnetic…

Astrophysics · Physics 2008-11-26 Jacek Niemiec , Michal Ostrowski , Martin Pohl

The growth rate of long wavelength kinetic instabilities arising due to the interaction of a collimated beam of relativistic particles and a cold unmagnetized plasma are calculated in the ultra relativistic limit. For sufficiently…

High Energy Astrophysical Phenomena · Physics 2015-05-19 Itay Rabinak , Boaz Katz , Eli Waxman

Rotating magnetized compact objects and their accretion discs can generate strong toroidal magnetic fields driving highly magnetized plasmas into relativistic jets. Of significant concern, however, has been that a strong toroidal field in…

Astrophysics · Physics 2009-11-13 Jonathan C. McKinney , Roger D. Blandford

This paper aims to investigate the astrophysical applicability of the electrically and magnetically charged black hole solutions obtained in a model of nonlinear electrodynamics proposed by Kruglov (Ann. Phys. Berlin 2017, 529, 170073).…

General Relativity and Quantum Cosmology · Physics 2020-02-18 O. Gurtug , M. Mangut

In this paper we present the first formulation of the theory of non-linear particle acceleration in collisionless shocks in the presence of neutral hydrogen in the acceleration region. The dynamical reaction of the accelerated particles,…

High Energy Astrophysical Phenomena · Physics 2015-06-12 G. Morlino , P. Blasi , R. Bandiera , E. Amato , D. Caprioli

The equations of relativistic hydrodynamics are transformed so that steps forward in time preserves local simultaneity. In these variables, the space-time coordinates of neighboring points on the mesh are simultaneous according to co-moving…

Nuclear Theory · Physics 2008-11-26 Scott Pratt

Jet-plasmas emanating from the vicinity of relativistic objects and in gamma-ray bursts have been observed to propagate with Lorentz factors laying in the range between one and several hundreds. On the other hand, the numerical studies of…

High Energy Astrophysical Phenomena · Physics 2012-01-31 A. A. Hujeirat , S. Fehlmann

In this paper, we review recent and ongoing work by our group on numerical simulations of relativistic jets. Relativistic outflows in Astrophysics are related to dilute, high energy plasmas, with physical conditions out of the reach of…

High Energy Astrophysical Phenomena · Physics 2023-06-12 Manel Perucho , Jose López-Miralles

Recent advances in laser technology enable to follow electronic motion at its natural time-scale with ultrafast pulses, leading the way towards atto- and femtosecond spectroscopic experiments of unprecedented resolution. Understanding of…

Chemical Physics · Physics 2023-07-12 Marius Kadek , Lukas Konecny , Michal Repisky

This paper concerns the construction and analysis of a new family of exact general relativistic shock waves. The construction resolves the open problem of determining the expanding waves created behind a shock-wave explosion into a static…

General Relativity and Quantum Cosmology · Physics 2022-11-02 Christopher Alexander

Using the information current, we develop a Lorentz-covariant framework for modeling equilibrium fluctuations in relativistic kinetic theory in the grand-canonical ensemble. The resulting stochastic theory is proven to be causal and…

Nuclear Theory · Physics 2024-07-24 Gabriel Soares Rocha , Lorenzo Gavassino , Nicki Mullins

The open problem of derivation of the relativistic Vlasov equation for the systems of charged particles moving with the velocities up to the speed of light and creating the electromagnetic field in accordance with the full set of the…

Plasma Physics · Physics 2022-04-26 Pavel A. Andreev

This is a brief review of the recent developments in the theory of magnetic acceleration of relativistic jets. We attempt to explain the key results of this complex theory using basic physical arguments and simple calculations. The main…

High Energy Astrophysical Phenomena · Physics 2010-06-14 S. S. Komissarov

Collisionless, turbulent plasmas surround the Earth, from the magnetosphere to the intergalactic medium, and the fluctuations within them affect nearly every field in the space sciences, from space weather forecasts to theories of galaxy…

High Energy Astrophysical Phenomena · Physics 2026-05-28 Keyan Gootkin , Colby Haggerty , Damiano Caprioli , Zachary Davis
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