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We prove that smooth solutions of non-ideal (viscous and resistive) incompressible magnetohydrodynamic equations satisfy a stochastic law of flux conservation. This property involves an ensemble of surfaces obtained from a given, fixed…

Plasma Physics · Physics 2015-05-13 Gregory L. Eyink

We briefly review the recent developments in magnetohydrodynamics, which in particular deal with the evolution of magnetic fields in turbulent plasmas. We especially emphasize (i) the necessity of renormalizing equations of motion in…

Plasma Physics · Physics 2025-05-01 Amir Jafari

The Yang-Mills magnetofluid unification is constructed using lagrangian approach by imposing certain gauge symmetry to the matter inside the fluid. The model provides a general description for relativistic fluid interacting with Abelian or…

Fluid Dynamics · Physics 2009-08-10 A. Fajarudin , A. Sulaiman , T. P. Djun , L. T. Handoko

The standard equilibrium equation for magnetized plasma is extended to account for the magnetic polarization force. A factor of the pressure gradient arising from the magnetic decomposition of the Hall term survives the limit of vanishing…

Plasma Physics · Physics 2011-04-29 Robert W. Johnson

Magnetic reconnection in partially ionized plasmas is a ubiquitous phenomenon spanning the range from laboratory to intergalactic scales, yet it remains poorly understood and relatively little studied. Here, we present results from a…

Plasma Physics · Physics 2014-03-04 James E Leake , Vyacheslav S Lukin , Mark G Linton

Hamiltonian formulations of quasilinear theory are presented for the cases of uniform and nonuniform magnetized plasmas. First, the standard quasilinear theory of Kennel and Engelmann (1966) is reviewed and reinterpreted in terms of a…

Plasma Physics · Physics 2022-08-23 Alain J. Brizard , Anthony A. Chan

Force-free electrodynamics describes the electromagnetic field of the magnetically dominated plasma found near pulsars and active black holes, but gives no information about the underlying particles that ultimately produce the observable…

High Energy Astrophysical Phenomena · Physics 2025-11-05 Morifumi Mizuno , Samuel E. Gralla , Alexander Philippov

A set of fluid equations, taking into account the spin properties of the electrons and positrons in a magnetoplasma, are derived. The magnetohydrodynamic limit of the pair plasma is investigated. It is shown that the microscopic spin…

Plasma Physics · Physics 2008-11-26 G. Brodin , M. Marklund

We introduce an extensible multi-fluid moment model in the context of collisionless magnetic reconnection. This model evolves full Maxwell equations, and simultaneously moments of the Vlasov-Maxwell equation for each species in the plasma.…

Plasma Physics · Physics 2015-09-07 Liang Wang , Ammar H. Hakim , A. Bhattacharjee , K. Germaschewski

Persistent currents and magnetization are considered for a two-dimensional electron (or gas of electrons) coupled to various magnetic fields. Thermodynamic formulae for the magnetization and the persistent current are established and the…

Condensed Matter · Physics 2009-10-31 Jean Desbois , Stephane Ouvry , Christophe Texier

We develop a general theory of buoyancy instabilities in the electron-ion plasma with the electron heat flux based not upon MHD equations, but using a multicomponent plasma approach in which the momentum equation is solved for each species.…

Astrophysics of Galaxies · Physics 2015-05-20 Anatoly K. Nekrasov , Mohsen Shadmehri

Expanding laser plasmas, produced by high energy laser radiation, possess both high thermal and magnetic field energy density. Characterization of such plasma is challenging but needed for understanding of its physical behaviour. Among all…

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

Following recent work, we discuss waves in a warm ideal two-fluid plasma consisting of electrons and ions starting from a completely general, ideal two-fluid dispersion relation. The plasma is characterised by five variables: the electron…

Plasma Physics · Physics 2020-12-18 Jordi De Jonghe , Rony Keppens

The general-relativistic (GR) magnetohydrodynamic (MHD) equations for a conductive plasma fluid are derived and discussed in the curved spacetime described by Thorne's metric tensor, i.e., a family of cosmological models with inherent…

General Relativity and Quantum Cosmology · Physics 2023-06-16 Kostas Kleidis , Apostolos Kuiroukidis , Demetrios B. Papadopoulos

This review discusses the physics of magnetic reconnection, a process in which the magnetic field topology changes and magnetic energy is converted to kinetic energy, in pair plasmas in the relativistic regime. We focus on recent progress…

High Energy Astrophysical Phenomena · Physics 2015-06-23 Daniel Kagan , Lorenzo Sironi , Benoit Cerutti , Dimitrios Giannios

Violation of the axial synnetry of a magnetic field essentially modifies the physics of the plasma outflow in the magnetosphere of rotating objects. In comparison to the axisymmetric outflow, two new affects appear: more efficient…

Astrophysics · Physics 2009-10-31 S. V. Bogovalov

We study the linear magnetohydrodynamic (MHD) equations, both in the Newtonian and the general-relativistic limit, as regards a viscous magnetized fluid of finite conductivity and discuss instability criteria. In addition, we explore the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 K. Kleidis , A. Kuiroukidis , D. B. Papadopoulos , L. Vlahos

In magnetized plasmas gravitational and electromagnetic waves may interact coherently and exchange energy between themselves and with plasma flows. We derive the wave interaction equations for these processes in the case of waves…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Martin Servin , Gert Brodin

We consider a model of axisymmetric neutron star magnetosphere. In our approach, the current density in the region of open field lines is constant and the returning current flows in a narrow layer along the separatrix. In this case, the…

Astrophysics · Physics 2009-10-30 V. S. Beskin , L. M. Malyshkin
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