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Based on the magnetohydrodynamics (MHD) model, an exact arbitrary-amplitude general solution is presented for oblique propagation of solitary excitations in two- and three-component quasineutral magnetoplasmas, adopting the standard…

Plasma Physics · Physics 2015-05-27 M. Akbari-Moghanjoughi

We demonstrate, both at the Newtonian and (general) relativistic levels, the existence of a generalization of Kelvin's circulation theorem (for pure fluids) which is applicable to perfect magnetohydrodynamics. The argument is based on the…

Astrophysics · Physics 2009-10-31 Jacob D. Bekenstein , Asaf Oron

We present an extension of the multi-region relaxed magnetohydrodynamics (MRxMHD) equilibrium model that includes pressure anisotropy and general plasma flows. This anisotropic extension to our previous isotropic model is motivated by Sun…

Plasma Physics · Physics 2015-06-19 Graham R. Dennis , Stuart R. Hudson , Robert L. Dewar , Matthew J. Hole

We develop a first-principles model for the relativistic magnetic reconnection rate in strongly magnetized pair plasmas. By considering the energy budget and required current density near the x-line, we analytically show that in the…

High Energy Astrophysical Phenomena · Physics 2023-01-31 Matthew Goodbred , Yi-Hsin Liu

The kinematic evolution of axisymmetric magnetic fields in rotating magnetospheres of relativistic compact objects is analytically studied, based on relativistic Ohm's law in stationary axisymmetric geometry. By neglecting the poloidal…

Astrophysics · Physics 2009-10-31 Akira Tomimatsu

Axisymmetric equilibria with incompressible flows of arbitrary direction are studied in the framework of magnetohydrodynamics under a variety of physically relevant side conditions. To this end a set of pertinent non-linear ODEs are…

Plasma Physics · Physics 2007-05-23 G. N. Throumoulopoulos , H. Tasso , G. Poulipoulis

We derive a sufficient condition for the linear stability of plasma equilibria with incompressible flow parallel to the magnetic field, $\bf B$, constant mass density and anisotropic pressure such that the quantity $\sigma_d=…

Plasma Physics · Physics 2020-06-24 A. Evangelias , G. N. Throumoulopoulos

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 consider general relativistic magnetohydrodynamics from a charged multifluids point-of-view, taking a variational approach as our starting point. We develop the case of two charged components in detail, accounting for a phenomenological…

Solar and Stellar Astrophysics · Physics 2015-06-04 N. Andersson

Exact solutions of the equation governing the equilibrium magetohydrodynamic states of an axisymmetric plasma with incompressible flows of arbitrary direction [H. Tasso and G.N.Throumoulopoulos, Phys. Pasmas {\bf 5}, 2378 (1998)] are…

Plasma Physics · Physics 2015-06-26 G. N. Throumoulopoulos , G. Poulipoulis , G. Pantis , H. Tasso

Recent results will be presented on steady states of magnetically confined plasmas obtained by conventional and Hamiltonian methods. The presentation consists of three parts. The first one concerns the derivation of a generalized…

We provide examples of periodic solutions (in both 2 and 3 dimension) of the Magnetohydrodynamics equations such that the topology of the magnetic lines changes during the evolution. This phenomenon, known as magnetic reconnection, is…

Analysis of PDEs · Mathematics 2025-03-27 Pedro Caro , Gennaro Ciampa , Renato Lucà

We consider a framework for non-ideal magnetohydrodynamics in general relativity, paying particular attention to the physics involved. The discussion highlights the connection between the microphysics (associated with a given equation of…

High Energy Astrophysical Phenomena · Physics 2021-12-08 N. Andersson , I. Hawke , T. Celora , G. L. Comer

For static reductions of isotropic and anisotropic Magnetohydrodynamics plasma equilibrium models, a complete classification of admitted point symmetries and conservation laws up to first order is presented. It is shown that the symmetry…

Mathematical Physics · Physics 2009-11-13 Alexei F. Cheviakov , Stephen C. Anco

Binary systems of compact objects with electromagnetic field are modeled by helically symmetric Einstein-Maxwell spacetimes with charged and magnetized perfect fluids. Previously derived thermodynamic laws for helically-symmetric…

General Relativity and Quantum Cosmology · Physics 2010-12-23 Koji Uryu , Eric Gourgoulhon , Charalampos Markakis

We investigate electromagnetic buoyancy instabilities of the electron-ion plasma with the heat flux based on not the magnetohydrodynamic (MHD) equations, but using the multicomponent plasma approach when the momentum equations are solved…

Astrophysics of Galaxies · Physics 2015-05-27 Anatoly Nekrasov , Mohsen Shadmehri

Exact solutions of the self-consistent relativistic magnetohydrodynamics equations for an anisotropic magnetized plasma on the background of Bondi-Pirani-Robinson's vacuum plane gravitational wave (PGW) metric with an arbitrary polarization…

General Relativity and Quantum Cosmology · Physics 2010-11-16 Yurii Ignatyev , Alexander Agathonov

The momentum conservation law for general dissipationless reduced-fluid (e.g., gyrofluid) models is derived by Noether method from a variational principle. The reduced-fluid momentum density and the reduced-fluid canonical momentum-stress…

Plasma Physics · Physics 2010-09-17 Alain J. Brizard

The noncanonical Hamiltonian formulation of magnetohydrodynamics (MHD) is used to construct variational principles for symmetric equilibrium configurations of magnetized plasma including flow. In particular, helical symmetry is considered…

Plasma Physics · Physics 2012-08-28 Tommaso Andreussi , Philip J. Morrison , Francesco Pegoraro

Intrinsic flow in plasma physics is a long-standing puzzle, since it is difficult to understand its origin without contradiction to momentum conservation in conventional wisdom. It is proved that the electromagnetic turbulent acceleration…

Plasma Physics · Physics 2017-02-01 Shuitao Peng , Lu Wang