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Related papers: Exact magnetohydrodynamic equilibria with flow and…

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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 construct analytic solutions to the generalized Grad-Shafranov equation, which incorporates both toroidal and poloidal flows. This is achieved by adopting a general linearizing ansatz for the free-function terms of the equation and…

Plasma Physics · Physics 2025-02-25 A. I. Kuiroukidis , D. A. Kaltsas , G. N. Throumoulopoulos

Based on the Newton's second law and the Maxwell equations for the electromagnetic fields, we establish a new 3D incompressible magneto-hydrodynamics(MHD) equations for the motion of plasma under the standard Coulomb gauge. By using the…

Analysis of PDEs · Mathematics 2017-10-11 Ruikuan Liu , Jiayan Yang

Ultra-relativistic plasma outflows are intrinsically connected with gamma-ray bursts. Over the years, a large number of analytical and numerical works has been devoted to understanding the intricacies of their complex dynamics, with most of…

High Energy Astrophysical Phenomena · Physics 2025-10-17 Argyrios Loules , Nektarios Vlahakis

This paper examines a new class of exact and self-consistent MHD solutions which describe steady and axisymmetric hydromagnetic outflows from the atmosphere of a magnetized and rotating central object with possibly an orbiting accretion…

Astrophysics · Physics 2009-10-31 N. Vlahakis , K. Tsinganos

Magnetization in highly conductive plasmas is ubiquitous to astronomical systems. Flows in such media can be described by three path functions $\Lambda_\alpha$, or, for a steady flow, by two stream functions $\lambda_\kappa$ and an…

Astrophysics of Galaxies · Physics 2015-11-23 Yossi Naor , Uri Keshet

I show that the self-consistent solution of the problem of MHD plasma flow in magnetosphere of an oblique rotator with an initially split-monopole magnetic field is reduced to the solution of the similar problem for the axisymmetric…

Astrophysics · Physics 2016-08-30 S. V. Bogovalov

The axisymmetric 3-D MHD outflow of a cold plasma from a magnetized and rotating astrophysical object is numerically simulated with the purpose of investigating the outflow's magnetocentrifugal acceleration and eventual collimation. Gravity…

Astrophysics · Physics 2009-10-31 S. Bogovalov , K. Tsinganos

We derive an exact, time-dependent analytical magnetic field solution for the inner heliosheath, which satisfies both the induction equation of ideal magnetohydrodynamics in the limit of infinite electric conductivity and the magnetic…

Solar and Stellar Astrophysics · Physics 2022-12-28 Christian Röken , Jens Kleimann , Horst Fichtner

Magnetohydrodynamics of strongly magnetized relativistic fluids is derived in the ideal and dissipative cases, taking into account the breaking of spatial symmetries by a quantizing magnetic field. A complete set of transport coefficients,…

High Energy Astrophysical Phenomena · Physics 2015-05-30 Xu-Guang Huang , Armen Sedrakian , Dirk H. Rischke

Self-consistent, one-dimensional quasineutral screw-pinch equilibria are constructed within a hybrid model that couples fluid electrons with kinetic ions governed by the Vlasov equation. The equilibria depend on the radial coordinate…

Plasma Physics · Physics 2025-07-29 D. A. Kaltsas , A. I. Kuiroukidis , G. N. Throumoulopoulos

Full self-consistent stationary Vlasov-Maxwell solutions of magnetically confined plasmas are built for systems with cylindrical symmetries. The stationary solutions are thermodynamic equilibrium solutions. These are obtained by computing…

Plasma Physics · Physics 2023-01-04 Aurélien Cordonnier , Xavier Leoncini , Guilhem Dif-Pradalier , Xavier Garbet

In ultrarelativistic heavy-ion collisions, enormous magnetic fields are generated because of fast-moving charged particles. In the presence of these magnetic fields, the spin of particles is aligned either in the parallel or in the…

High Energy Physics - Phenomenology · Physics 2019-10-02 S. M. A. Tabatabaee , N. Sadooghi

We present ECOM (Equilibrium solver via COnformal Mapping), a fast and accurate fixed boundary solver for toroidally axisymmetric magnetohydrodynamic equilibria with or without a toroidal flow. ECOM combines conformal mapping and Fourier…

Plasma Physics · Physics 2015-05-20 Jungpyo Lee , Antoine Cerfon

We present an extension of the multi-region relaxed magnetohydrodynamics (MRxMHD) equilibrium model that includes plasma flow. This new model is a generalization of Woltjer's model of relaxed magnetohydrodynamics equilibria with flow. We…

Plasma Physics · Physics 2014-04-04 G. R. Dennis , S. R. Hudson , R. L. Dewar , M. J. Hole

For the equations of a planar magnetohydrodynamic (MHD) compressible flow with the viscosity depending on the specific volume of the gas and the heat conductivity being proportional to a positive power of the temperature, we obtain global…

Analysis of PDEs · Mathematics 2024-06-19 Yuebo Cao , Yi Peng , Ying Sun

The dynamics of cold strongly magnetized plasma -- traditionally the domain of force-free electrodynamics -- has recently been reformulated in terms of symmetries and effective field theory, where the degrees of freedom are the momentum and…

High Energy Physics - Theory · Physics 2022-03-09 Nabil Iqbal

The quantum hydrodynamic model for charged particle systems is extended to the cases of non zero magnetic fields. In this way, quantum corrections to magnetohydrodynamics are obtained starting from the quantum hydrodynamical model with…

Plasma Physics · Physics 2007-05-23 Fernando Haas

We construct an infinite family of one-dimensional equilibrium solutions for purely magnetized quantum plasmas described by the quantum hydrodynamic model. The equilibria depends on the solution of a third-order ordinary differential…

Plasma Physics · Physics 2007-05-23 F. Haas

We develop an approach of Grad-Shafranov (GS) reconstruction for toroidal structures in space plasmas, based on in-situ spacecraft measurements. The underlying theory is the GS equation that describes two-dimensional magnetohydrostatic…

Solar and Stellar Astrophysics · Physics 2017-08-30 Qiang Hu