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Relativistic addition of velocities in one dimension, though a mainstay of introductory physics, contributes much less physical insight than it could. For such calculations, we propose the use of velocity factors (two-way doppler factors).…

General Physics · Physics 2008-11-26 Alma Teao Wilson

We consider the radiative acceleration to relativistic bulk velocities of a cold, optically thin plasma which is exposed to an external source of gamma-rays. The flow is driven by radiative momentum input to the gas, the accelerating force…

Astrophysics · Physics 2009-10-31 Piero Madau , Christopher Thompson

We use new experiments and a theoretical analysis of the results to show that the isotopic fractionation associated with laser-heating aerodynamic levitation experiments is consistent with the velocity of flowing gas as the primary control…

Earth and Planetary Astrophysics · Physics 2022-06-01 Edward D. Young , Catherine A. Macris , Haolan Tang , Arielle A. Hogan , Quinn R. Shollenberger

We present a new, approximate method for modelling the acceleration and collimation of relativistic jets in the presence of gravity. This method is self-similar throughout the computational domain where gravitational effects are negligible…

High Energy Astrophysical Phenomena · Physics 2015-06-11 Peter Polko , David L. Meier , Sera Markoff

Radiatively-driven flow in a luminous disk is examined in the subrelativistic regime of $(v/c)^1$, taking account of radiation transfer. The flow is assumed to be vertical, and the gravity and gas pressure are ignored. When internal heating…

Astrophysics · Physics 2015-06-24 Jun Fukue

Matter accreting onto black holes may develop shocks due to the centrifugal barrier. A part of inflowing matter in the post-shock flow is deflected along the axis in the form of jets. Post-shock flow which behaves like a Compton cloud has…

Astrophysics · Physics 2009-11-07 Indranil Chattopadhyay , Sandip K. Chakrabarti

The observed variability of BL Lac objects and Quasars on timescales <1 day (intraday variability, IDV) have revealed radio brightness temperatures up to 10^{16}-10^{20} K. These values challenge the beaming model with isotropic comoving…

Astrophysics · Physics 2007-05-23 A. R. Crusius-W"atzel , H. Lesch

We present a general formulation of special-relativistic magnetohydrodynamics and derive exact radially self-similar solutions for axisymmetric outflows from strongly magnetized, rotating compact objects. We generalize previous work by…

Astrophysics · Physics 2009-11-07 Nektarios Vlahakis , Arieh Konigl

Particle acceleration in relativistic shocks is studied analytically in the test-particle, small-angle scattering limit, for an arbitrary velocity-angle diffusion function D. Accurate analytic expressions for the spectral index s are…

Astrophysics · Physics 2008-11-26 Uri Keshet

The speed of light ($c$) in a vacuum is independent on a choice of frames to describe the propagation, according to the theory of relativity. We consider how light is characterised in a material, where the speed of light is different from…

Optics · Physics 2024-06-07 Shinichi Saito

In relativistic dynamics, force and acceleration are no longer parallel. In this article, we revisit the relativistic motion of a particle under the action of a constant force, $\boldsymbol{f}$. \ For a two-dimensional motion, the final…

Classical Physics · Physics 2018-06-25 Jhonnatan G. Pereira , Victor E. Mouchrek-Santos , Manoel M. Ferreira

Diffusive shock acceleration (DSA) by relativistic shocks is thought to generate the $dN/dE\propto E^{-p}$ spectra of charged particles in various astronomical relativistic flows. We show that for test particles in one dimension (1D),…

High Energy Astrophysical Phenomena · Physics 2017-10-25 Uri Keshet

The large-scale/long-time transport of inertial particles of arbitrary mass density under gravity is investigated by means of a formal multiple-scale perturbative expansion in the scale-separation parametre between the carrier flow and the…

Fluid Dynamics · Physics 2019-02-13 Marco Martins Afonso , Andrea Mazzino , Paolo Muratore-Ginanneschi

We propose a new method to study transverse flow effects in relativistic nuclear collisions by Fourier analysis of the azimuthal distribution on an event-by-event basis in relatively narrow rapidity windows. The distributions of Fourier…

High Energy Physics - Phenomenology · Physics 2011-05-05 S. Voloshin , Y. Zhang

A stationary self-consistent outflow of a magnetised relativistic plasma from a rotating object with an initially monopole-like magnetic field is investigated in the ideal MHD approximation under the condition $\sigma/U_0^2 >1$, where…

Astrophysics · Physics 2009-11-06 S. Bogovalov

We derive a self similar solution for the propagation of an extreme relativistic (or Newtonian) radiative spherical blast wave into a surrounding cold medium. The solution is obtained under the assumption that the radiation process is fast,…

Astrophysics · Physics 2009-10-30 Ehud Cohen , Tsvi Piran , Re'em Sari

Anisotropic flows ($v_1$, $v_2$, $v_3$ and $v_4$) of light fragments up till the mass number 4 as a function of rapidity have been studied for 25 MeV/nucleon $^{40}$Ca + $^{40}$Ca at large impact parameters by Quantum Molecular Dynamics…

Nuclear Theory · Physics 2008-11-26 T. Z. Yan , Y. G. Ma , X. Z. Cai , D. Q. Fang , G. C. Lu , W. Q. Shen , W. D. Tian , H. W. Wang , K. Wang

We present a formalism of the dynamics of internal shocks in relativistic jets where the source has a time-dependent injection velocity and mass-loss rate. The variation of the injection velocity produces a two-shock wave structure, the…

High Energy Astrophysical Phenomena · Physics 2015-06-12 J. Cantó , S. Lizano , M. Fernández-López , R. F. González , A. Hernández-Gómez

We derive semi-analytic solutions for optically thick, super-Eddington stellar winds, induced by an assumed steady energy addition $\Delta {\dot E}$ concentrated around a near-surface heating radius $R$ in a massive star of central…

Solar and Stellar Astrophysics · Physics 2017-11-08 Stanley P. Owocki , Richard H. D. Townsend , Eliot Quataert

We analytically study diffusive particle acceleration in relativistic, collisionless shocks. We find a simple relation between the spectral index s and the anisotropy of the momentum distribution along the shock front. Based on this…

Astrophysics · Physics 2009-11-10 Uri Keshet , Eli Waxman