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We present a new radiative transfer method (SPH-M1RT) that is coupled dynamically with smoothed particle hydrodynamics (SPH). We implement it in the (task-based parallel) SWIFT galaxy simulation code but it can be straightforwardly…

Instrumentation and Methods for Astrophysics · Physics 2021-07-06 T. K. Chan , Tom Theuns , Richard Bower , Carlos Frenk

An interesting and satisfactory fluid model has been proposed in literature for the the description of relativistic electron beams. It was obtained with 14 independent variables by imposing the entropy principle and the relativity…

Mathematical Physics · Physics 2008-11-26 Sebastiano Pennisi , Maria Cristina Carrisi

We use momentum transfer arguments to predict the friction factor $f$ in two-dimensional turbulent soap-film flows with rough boundaries (an analogue of three-dimensional pipe flow) as a function of Reynolds number Re and roughness $r$,…

Fluid Dynamics · Physics 2015-05-13 Nicholas Guttenberg , Nigel Goldenfeld

Studies of particle motion in vortical flows have mainly focused on point-like particles, either inertial or self-propelled. This approximation assumes that the velocity field that surrounds the particle is linear. We consider an…

Fluid Dynamics · Physics 2022-01-17 Sumithra Reddy Yerasi , Rama Govindarajan , Dario Vincenzi

We develop a general method for the self consistent calculation of the hydrodynamics of an astrophysical object irradiated by a radiation field with an arbitrary strength and spectral energy distribution (SED). Using the XSTAR…

High Energy Astrophysical Phenomena · Physics 2017-03-22 Sergei Dyda , Randall Dannen , Tim Waters , Daniel Proga

We construct a model of cooperative superradiant emission from a highly relativistic multi-particle source. We revise an existing model of the literature for a relativistic two-level particle, and construct from it a Hamiltonian describing…

Quantum Physics · Physics 2023-01-18 Christopher Wyenberg , Fereshteh Rajabi , Martin Houde

We study the equations of motion for a barotropic fluid in spherical symmetric flow. Making use of the Riemann invariants we consider the characteristic form of these equations. In a first part, we show that the resulting constraint…

Analysis of PDEs · Mathematics 2016-03-08 André Lisibach

Two complementary and equally important approaches to relativistic physics are explained. One is the standard approach, and the other is based on a study of the flows of an underlying physical substratum. Previous results concerning the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Tom Martin

We present a general framework for studying the relativistic star perturbations on a static and spherically symmetric background in full Horndeski theories. We take a perfect fluid into account as a form of the Schutz-Sorkin action. Our…

General Relativity and Quantum Cosmology · Physics 2022-01-28 Ryotaro Kase , Shinji Tsujikawa

An alternative approach to solving the Landau-Khalatnikov problem on one-dimensional stage of expansion of hot hadronic matter created in collisions of high-energy particles or nuclei is suggested. Solving the relativistic hydrodynamics…

Pattern Formation and Solitons · Physics 2019-06-11 A. M. Kamchatnov

The motion of a compressible inviscid radiative flow can be described by the radiative Euler equations, which consists of the Euler system coupled with a Poisson equation for the radiative heat flux through the energy equation. Although…

Analysis of PDEs · Mathematics 2024-09-24 Huijiang Zhao , Boran Zhu

A popular model for a generic fat-cored vortex ring or eddy is Hill's spherical vortex (Phil. Trans. Roy. Soc. A vol. 185, 1894, p. 213). Here we find an exact solution for such a spherical vortex steadily propagating along the axis of a…

Fluid Dynamics · Physics 2018-01-31 M. M. Scase , H. L. Terry

Recently, a morphological transition in the velocity distribution of a relativistic gas has been pointed out which shows hallmarks of a critical phenomenon. Here, we provide a general framework which allows for a thermodynamic approach to…

Statistical Mechanics · Physics 2015-10-21 Afshin Montakhab , Leila Shahsavar , Malihe Ghodrat

The Euler equations governing a relativistic perfect fluid are put into symmetric hyperbolic form with dependent variables the fluid's specific entropy plus a generalized velocity vector equal to the fluid's unit relativistic velocity…

Astrophysics · Physics 2007-05-23 Ronald A. Walton

The speed of light is usually taken as one of the fundamental constants. String, and field, theories appear to require the altercation of this constant into a functional form $E(m,c)$ which is not $E=mc^2$. The analysis requires the…

General Physics · Physics 2007-05-23 Gordon Chalmers

We present a new algorithm to solve the equations of radiation hydrodynamics (RHD) in a frequency-integrated, two-moment formulation. Novel features of the algorithm include i) the adoption of a non-local Variable Eddington Tensor (VET)…

Instrumentation and Methods for Astrophysics · Physics 2023-01-25 Shyam H. Menon , Christoph Federrath , Mark R. Krumholz , Rolf Kuiper , Benjamin D. Wibking , Manuel Jung

This work derives exact solutions to the problem of interacting particle density evolution in relativistic and quasi-relativistic approximations for electromagnetic and gravitational interactions. Two types of radial symmetry for the…

Mathematical Physics · Physics 2025-10-20 E. E. Perepelkin , B. I. Sadovnikov , N. G. Inozemtseva , I. Yu. Baibara

In this introductory review article, we explore the special relativistic equations of particle motions and the consequent derivation of Einstein's famous formula $E=mc^2$. Next, we study the special relativistic electromagnetic field…

Mathematical Physics · Physics 2007-05-23 A. Das , A. DeBenedictis , S. Kloster , N. Tariq

We numerically demonstrate the feasibility of kinematic fast dynamos for a class of time-periodic axisymmetric flows of conducting fluid confined inside a sphere. The novelty of our work is in considering the realistic flows, which are…

Plasma Physics · Physics 2013-09-19 I. V. Khalzov , C. M. Cooper , C. B. Forest

Relativistic jets associated with long/soft gamma-ray bursts are formed and initially propagate in the interior of the progenitor star. Because of the subsequent loss of their external pressure support after they cross the stellar surface,…

High Energy Astrophysical Phenomena · Physics 2014-07-21 Konstantinos Sapountzis , Nektarios Vlahakis