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By taking into account the radiation reaction force, we derive a set of one-fluid relativistic magnetohydrody-namics (RMHD) equations with the Landau-Lifshitz radiation reaction force based on a relativistic two-fluid plasma. These…

Plasma Physics · Physics 2018-12-12 Wenshuai Liu , Weihao Bian , Bixuan Zhao , Liming Yu , Chan Wang

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

To study phenomena of plasmas around rotating black holes, we have derived a set of 3+1 formalism of generalized general relativistic magnetohydrodynamic (GRMHD) equations. Especially, we investigated general relativistic phenomena with…

High Energy Astrophysical Phenomena · Physics 2014-11-20 Shinji Koide

The applicability of relativistic magnetohydrodynamics (RMHD) and its generalization to two-fluid models (including the Hall and inertial effects) is systematically investigated by using the method of dominant balance in the two-fluid…

Plasma Physics · Physics 2024-12-10 Shuntaro Yoshino , Makoto Hirota , Yuji Hattori

Incorporating the radiation reaction force into two-fluid plasma in curved space, we get a set of one-fluid general relativistic magnetohydrodynamics (GRMHD) equations with the Landau-Lifshitz radiation reaction force. We analyze the…

Plasma Physics · Physics 2019-06-24 Wen-Shuai Liu , Wei-Hao Bian , Bi-Xuan Zhao , Li-Ming Yu , Chan Wang

The equations of general relativistic magnetohydrodynamics (GRMHD) have become the standard mathematical framework for modeling high-energy plasmas in curved spacetimes. However, the fragility of the primitive variable reconstruction…

General Relativity and Quantum Cosmology · Physics 2025-10-31 Jonathan Gorard , James Juno , Ammar Hakim

Two types of Eulerian action principles for relativistic extended magnetohydrodynamics (MHD) are formulated. With the first, the action is extremized under the constraints of density, entropy, and Lagrangian label conservation, which leads…

Plasma Physics · Physics 2017-02-08 Yohei Kawazura , George Miloshevich , Philip J. Morrison

Relativistic plasmas are central to the study of black hole accretion, jet physics, neutron star mergers, and compact object magnetospheres. Despite the need to accurately capture the dynamics of these plasmas and the implications for…

High Energy Astrophysical Phenomena · Physics 2022-07-20 Elias R. Most , Jorge Noronha , Alexander A. Philippov

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

On the basis of simple principles we derive and investigate the equations of relativistic plasma magnetohydrodynamics (MHD) in an arbitrary gravitational field. An exact solution describing the motion of magnetoactive plasma against the…

General Relativity and Quantum Cosmology · Physics 2011-01-06 Yu. G. Ignatyev

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

We present two generalized hybrid kinetic-Hall magnetohydrodynamics (MHD) models describing the interaction of a two-fluid bulk plasma, which consists of thermal ions and electrons, with energetic, suprathermal ion populations described by…

Plasma Physics · Physics 2021-11-11 D. A. Kaltsas , G. N. Throumoulopoulos , P. J. Morrison

The concept of magnetic connections is extended to non-ideal relativistic magnetohydrodynamical plasmas. Adopting a general set of equations for relativistic magnetohydrodynamics including thermal-inertial, thermal electromotive, Hall and…

Plasma Physics · Physics 2015-05-05 Felipe A. Asenjo , Luca Comisso

In the study of plasma, particularly in applications involving strong laser-plasma interactions, the propagation of a strong electromagnetic wave induces relativistic velocities in the electron flow. Given such conditions, the wave…

We investigate the propagation of electromagnetic waves in resistive pair plasmas using a onefluid theory derived from the relativistic two-fluid equations. When the resistivity normalized by the electron/positron inertia variable exceeds a…

Plasma Physics · Physics 2009-11-13 Shinji Koide

The magnetohydrodynamic dynamo equation is derived within general relativity, using the covariant 1+3 approach, for a plasma with finite electric conductivity. This formalism allows for a clear division and interpretation of plasma and…

Astrophysics · Physics 2009-11-10 Mattias Marklund , Chris Clarkson

General relativistic magnetohydrodynamic (GRMHD) flows along magnetic fields threading a black hole can be divided into inflow and outflow parts, according to the result of the competition between the black hole gravity and…

High Energy Astrophysical Phenomena · Physics 2015-06-23 Hung-Yi Pu , Masanori Nakamura , Kouichi Hirotani , Yosuke Mizuno , Kinwah Wu , Keiichi Asada

Relativistic heavy-ion collisions generate ultra-strong magnetic fields that interact with the quark-gluon plasma (QGP), a key focus of high-energy physics research.This study investigates QGP energy density evolution under time-dependent…

Nuclear Theory · Physics 2026-03-31 Huang-Jing Zheng , Sheng-Qin Feng

We present an improved version of the ECHO-QGP numerical code, which self-consistently includes for the first time the effects of electromagnetic fields within the framework of relativistic magnetohydrodynamics (RMHD). We discuss results of…

High Energy Physics - Phenomenology · Physics 2017-01-12 Gabriele Inghirami , Luca Del Zanna , Andrea Beraudo , Mohsen Haddadi Moghaddam , Francesco Becattini , Marcus Bleicher

The generalized Helmholtz equations of relativistic multifluid plasmas can be integrated for axisymmetric equilibria in close analogy to the magnetic flux conservation law in ideal magnetohydrodynamics (J. D. Bekenstein and E. Oron, Phys.…

Astrophysics · Physics 2009-10-31 Klaus Elsaesser
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