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Magnetohydrodynamics is a theory of long-lived, gapless excitations in plasmas. It was argued from the point of view of fluid with higher-form symmetry that magnetohydrodynamics remains a consistent, non-dissipative theory even in the limit…

高能物理 - 理论 · 物理学 2019-11-14 Bartosz Benenowski , Napat Poovuttikul

The shear viscosity is a fundamental transport property of matter. Here we derive a general theory of the viscosity of gases based on the relativistic Langevin equation (deduced from a relativistic Lagrangian) and nonaffine linear response…

高能物理 - 唯象学 · 物理学 2024-11-08 Alessio Zaccone

The current status of the application of hydrodynamics to ultrarelativistic heavy ion collisions is reviewed. We elaborate on the arguments for strong transverse flow and rapid thermalization and discuss future applications and trends in…

核理论 · 物理学 2017-08-23 Peter F. Kolb

We review the conservation laws of magnetohydrodynamics (MHD) in an expanding homogeneous and isotropic Universe that can be applied to the study of early Universe physics during the epoch of radiation domination. The conservation laws for…

广义相对论与量子宇宙学 · 物理学 2026-02-19 Alberto Roper Pol , Antonino Salvino Midiri

We show that relativistic magnetohydrodynamics (MHD) can be recast as a novel theory of superfluidity. This new theory formulates MHD just in terms of conservation equations, including dissipative effects, by introducing appropriate…

高能物理 - 理论 · 物理学 2019-04-17 Jay Armas , Akash Jain

We derive the equations of motion of relativistic magnetohydrodynamics, as well as microscopic expressions for all of its transport coefficients, from the Boltzmann equation using the method of moments. In contrast to reference Phys. Rev. D…

核理论 · 物理学 2024-05-24 Khwahish Kushwah , Gabriel S. Denicol

This article considers the ideal 2D magnetohydrodynamic equations on an infinite periodic channel close to a combination of an affine shear flow, called Couette flow, and a constant magnetic field. This setting combines important physical…

偏微分方程分析 · 数学 2025-04-03 Niklas Knobel

We present a new computational method for smoothly matching general relativistic ideal magnetohydrodynamics (MHD) to its force-free limit. The method is based on a flux-conservative formalism for MHD and its force-free limit, and a vector…

高能天体物理现象 · 物理学 2015-06-17 Vasileios Paschalidis , Stuart L. Shapiro

We show that relativistic fluids behave as non-Newtonian fluids. First, we discuss the problem of acausal propagation in the diffusion equation and introduce the modified Maxwell-Cattaneo-Vernotte (MCV) equation. By using the modified MCV…

高能物理 - 唯象学 · 物理学 2015-05-20 Tomoi Koide

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…

数学物理 · 物理学 2007-05-23 A. Das , A. DeBenedictis , S. Kloster , N. Tariq

The relativistic fluid is a highly successful model used to describe the dynamics of many-particle, relativistic systems. It takes as input basic physics from microscopic scales and yields as output predictions of bulk, macroscopic motion.…

广义相对论与量子宇宙学 · 物理学 2015-06-25 N. Andersson , G. L. Comer

Recently, an increasing interest in astrophysical as well as laboratory plasmas has been manifested in reference to the existence of relativistic flows, related in turn to the production of intense electric fields in magnetized systems.…

等离子体物理 · 物理学 2011-02-22 Alexei Beklemishev , Piero Nicolini , Massimo Tessarotto

The Lagrangian average (LA) of the ideal fluid equations preserves their transport structure. This transport structure is responsible for the Kelvin circulation theorem of the LA flow and, hence, for its convection of potential vorticity…

混沌动力学 · 物理学 2009-11-07 Darryl D. Holm

We assemble the equations of general relativistic magnetohydrodynamics (MHD) in 3+1 form. These consist of the complete coupled set of Maxwell equations for the electromagnetic field, Einstein's equations for the gravitational field, and…

天体物理学 · 物理学 2009-11-07 Thomas W. Baumgarte , Stuart L. Shapiro

We describe a conservative, shock-capturing scheme for evolving the equations of general relativistic magnetohydrodynamics. The fluxes are calculated using the Harten, Lax, and van Leer scheme. A variant of constrained transport, proposed…

天体物理学 · 物理学 2009-11-07 Charles F. Gammie , Jonathan C. McKinney , Gábor Tóth

The relativistic fluid is a highly successful model used to describe the dynamics of many-particle systems moving at high velocities and/or in strong gravity. It takes as input physics from microscopic scales and yields as output…

广义相对论与量子宇宙学 · 物理学 2021-07-07 N. Andersson , G. L. C. Comer

The Lagrangian average (LA) of the ideal fluid equations preserves their fundamental transport structure. This transport structure is responsible for the Kelvin circulation theorem of the LA flow and, hence, for its potential vorticity…

混沌动力学 · 物理学 2007-05-23 Darryl D. Holm

New exact solutions of relativistic perfect fluid hydrodynamics are described, including the first family of exact rotating solutions. The method used to search for them is an investigation of the relativistic hydrodynamical equations and…

核理论 · 物理学 2011-05-13 M. I. Nagy

We present a new direct simulation Monte-Carlo method for solving the relativistic Boltzmann equation. We solve numerically the 2-dimensional Boltzmann equation using this new algorithm. We find that elliptic flow from this transport…

核理论 · 物理学 2008-11-26 Clement Gombeaud , Jean-Yves Ollitrault

A new method for solving relativistic ideal hydrodynamics in (1+3)D is developed. Longitudinal and transverse radial flows are explicitly embedded and the hydrodynamic equations are reduced to a single equation for the transverse velocity…

核理论 · 物理学 2009-11-06 Jinfeng Liao , Volker Koch