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In this tutorial, a derivation of magnetohydrodynamics (MHD) valid beyond the usual ideal gas approximation is presented. Non-equilibrium thermodynamics is used to obtain conservation equations and linear constitutive relations. When…

Plasma Physics · Physics 2025-04-21 Jarett LeVan , Scott Baalrud

The theory of magnetohydrodynamics is extended to the cases of a plasma of separate magnetic and electric charges, as well as to a plasma of dyons respectively. In both these cases the system possesses electric-magnetic duality symmetry. In…

High Energy Physics - Theory · Physics 2009-10-30 Omduth Coceal , Wafic A. Sabra , Steven Thomas

Recent experiments have elucidated that novel nonequilibrium states inherent in the so-called hydrodynamic regime are realized in ultrapure metals with sufficiently strong momentum-conserving scattering. In this letter, we formulate a…

Mesoscale and Nanoscale Physics · Physics 2021-12-21 Ryotaro Sano , Riki Toshio , Norio Kawakami

Magnetic reconnection -- a fundamental plasma physics process, where magnetic field lines of opposite polarity annihilate -- is invoked in astrophysical plasmas as a powerful mechanism of nonthermal particle acceleration, able to explain…

High Energy Astrophysical Phenomena · Physics 2025-07-17 Lorenzo Sironi , Dmitri A. Uzdensky , Dimitrios Giannios

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…

Astrophysics · Physics 2009-11-07 Thomas W. Baumgarte , Stuart L. Shapiro

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.…

Plasma Physics · Physics 2011-02-22 Alexei Beklemishev , Piero Nicolini , Massimo Tessarotto

The nonlinear evolution of relativistic magnetic reconnection in sheared magnetic configuration (with a guide field) is investigated by using two-dimensional relativistic two-fluid simulations. Relativistic guide field reconnection features…

High Energy Astrophysical Phenomena · Physics 2014-11-20 Seiji Zenitani , Michael Hesse , Alex Klimas

We provide a statistical mechanical derivation of relativistic magnetohydrodynamics on the basis of the $(3+1)$-dimensional quantum electrodynamics; the system endowed with the magnetic one-form symmetry. The conservation laws and the…

High Energy Physics - Theory · Physics 2022-01-19 Masaru Hongo , Koichi Hattori

Generalized thermodynamic relations are introduced into the framework of a relativistic perfect spin hydrodynamics. They allow for consistent treatment of spin degrees of freedom, including the use of spin tensors whose structure follows…

High Energy Physics - Phenomenology · Physics 2024-07-09 Wojciech Florkowski , Mykhailo Hontarenko

Relativistic magnetohydrodynamics (RMHD) provides an extremely useful description of the low-energy long-wavelength phenomena in a variety of physical systems from quark-gluon plasma in heavy-ion collisions to matters in supernovas, compact…

High Energy Physics - Theory · Physics 2022-09-20 Koichi Hattori , Masaru Hongo , Xu-Guang Huang

Compressible isothermal magnetohydrodynamic turbulence is analyzed under the assumption of statistical homogeneity and in the asymptotic limit of large kinetic and magnetic Reynolds numbers. Following Kolmogorov we derive an exact relation…

Fluid Dynamics · Physics 2015-06-12 Supratik Banerjee , Sébastien Galtier

A general dispersion-relation solver that numerically evaluates the full propagation properties of all the waves in fluid plasmas is presented. The effects of anisotropic pressure, external magnetic fields and beams, relativistic dynamics,…

Plasma Physics · Physics 2013-11-20 Hua-sheng Xie

The possibility that the type of discontinuous flow changes as the conditions gradually (continuously) change is investigated in connection with the problems arising when the results of numerical simulations of magnetic reconnection in…

Plasma Physics · Physics 2013-12-13 L. S. Ledentsov , B. V. Somov

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…

High Energy Physics - Theory · Physics 2019-04-17 Jay Armas , Akash Jain

We analyze the influence of the magnetic field in the convexity properties of the relativistic magnetohydrodynamics system of equations. To this purpose we use the approach of Lax, based on the analysis of the linearly degenerate/genuinely…

General Relativity and Quantum Cosmology · Physics 2015-06-24 José-María Ibáñez , Isabel Cordero-Carrión , Miguel-Ángel Aloy , José-María Martí , Juan-Antonio Miralles

This article deals with rotating magnetohydrodynamic flows of a thin stratified layer of astrophysical plasma in a gravitational field with a free-surface in a vertical external magnetic field. Magnetohydrodynamic equations are obtained in…

Plasma Physics · Physics 2019-07-02 Maria Fedotova , Dmitry Klimachkov , Arakel Petrosyan

We prove the existence of a generalization of Kelvin's circulation theorem in general relativity which is applicable to perfect isentropic magnetohydrodynamic flow. The argument is based on a new version of the Lagrangian for perfect…

General Relativity and Quantum Cosmology · Physics 2022-10-12 Jacob D. Bekenstein , Asaf Oron

The new nonlinear axionically extended version of the general relativistic magnetohydrodynamics is formulated. The self-consistent formalism of this theory is based on the introduction into the Lagrangian of the new unified scalar…

High Energy Physics - Phenomenology · Physics 2022-09-26 Timur Yu. Alpin , Alexander B. Balakin , Alexei V. Vorohov

The generalized general-relativisticmagnetohydrodynamic (generalized GRMHD) equations have been used to study specific relativistic-plasmas phenomena, such as relativistic magnetic reconnection or wave propagation modified by non-ideal MHD…

High Energy Astrophysical Phenomena · Physics 2020-08-19 Shinji Koide

Starting from the governing equations, exact relations have been derived for three-dimensional reduced magnetohydrodynamic turbulence corresponding to the inertial range cascade of energy and cross-helicity. Justifications are provided for…

Plasma Physics · Physics 2024-09-23 Ramesh Sasmal , Supratik Banerjee