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In this paper, we derive a new shallow asymptotic model for the free boundary plasma-vacuum problem governed by the magnetohydrodynamic equation, vital in describing large-scale processes in flows of astrophysical plasma. More precisely, we…

Analysis of PDEs · Mathematics 2020-08-24 Diego Alonso-Orán

Magnetohydrodynamic turbulence affects both terrestrial and astrophysical plasmas. The properties of magnetized turbulence must be better understood to more accurately characterize these systems. This work presents ideal MHD simulations of…

Fluid Dynamics · Physics 2021-04-28 Forrest W. Glines , Philipp Grete , Brian W. O'Shea

We formulate axion-electrodynamics and magnetohydrodynamics (MHD) in the cosmological context assuming weak gravity. The two formulations are made for a general scalar field with general $f(\phi)$-coupling, and an axion as a massive scalar…

High Energy Physics - Phenomenology · Physics 2022-07-20 Jai-chan Hwang , Hyerim Noh

Magnetohydrodynamics (MHD) describes the interaction between electrically conducting fluids and electromagnetic fields. We propose and analyze a symplectic, second-order algorithm for the evolutionary MHD system in Els\"asser variables. We…

Numerical Analysis · Mathematics 2025-07-18 Zhen Yao , Catalin Trenchea , Wenlong Pei

Many astrophysical processes involving magnetic fields and quasi-stationary processes are well described when assuming the fluid as a perfect conductor. For these systems, the ideal-magnetohydrodynamics (MHD) description captures the…

Astrophysics · Physics 2010-11-09 Carlos Palenzuela , Luis Lehner , Oscar Reula , Luciano Rezzolla

Equations describing plasma equilibria are derived from the total energy of the system. The MHD equilibrium is shown to hold even for systems where the magnetic field may locally vanish. Through conservation of helicity, confinement is…

Plasma Physics · Physics 2019-06-20 John Hedditch

Magnetohydrodynamic (MHD) kink waves are ubiquitously observed in the solar atmosphere. The propagation and damping of these waves may play relevant roles for the transport and dissipation of energy in the solar atmospheric medium. However,…

Solar and Stellar Astrophysics · Physics 2015-06-23 Roberto Soler , Jaume Terradas

This Chapter outlines the basic properties of waves in solar partially ionized plasmas. It provides a summary of the main sets of equations, from the single-fluid formalism, to the multi-fluid one, giving examples for purely hydrogen, and…

Solar and Stellar Astrophysics · Physics 2024-09-19 Elena Khomenko , David Martínez-Gómez

We present a formalism for importing techniques from dynamical systems theory in the study of three-dimensional magnetohydrodynamic (MHD) equilibria. By treating toroidal angle as time, we reformulate the equilibrium equations as…

Plasma Physics · Physics 2023-10-26 J. W. Burby , M. H. Updike

Many phenomenological and effective field-theoretical (EFT) applications of magnetohydrodynamics (MHD) in the presence of a background magnetic field employ a simplifying assumption whereby the electromagnetic and the energy-momentum…

High Energy Physics - Theory · Physics 2025-10-15 Giorgio Frangi , Matej Bajec , Guri K. Buza , Alexander Soloviev , Sašo Grozdanov

Fully compressible magnetohydrodynamic (MHD) simulations are a fundamental tool for investigating the role of dynamo amplification in the generation of magnetic fields in deep convective layers of stars. The flows that arise in such…

Solar and Stellar Astrophysics · Physics 2022-12-21 G. Leidi , C. Birke , R. Andrassy , J. Higl , P. V. F. Edelmann , G. Wiest , C. Klingenberg , F. K. Röpke

The two-fluid Maxwell system couples frictionless electron and ion fluids via Maxwell's equations. When the frequencies of light waves, Langmuir waves, and single-particle cyclotron motion are scaled to be asymptotically large, the…

Plasma Physics · Physics 2017-08-02 J. W. Burby

We find two families of analytic solutions to the ideal magnetohydrodynamics (iMHD) equations, in a class of 4-dimensional (4D) curved spacetimes. The plasma current is null, and as a result, the stress-energy tensor of the plasma itself…

General Relativity and Quantum Cosmology · Physics 2016-05-31 Yi-Zen Chu , Vitaly Vanchurin

Some basic structures in planetary nebulae are modeled as self-organized magnetohydrodynamic (MHD) plasma configurations with radial flow. These configurations are described by time self-similar dynamics, where space and time dependences of…

Astrophysics · Physics 2012-10-18 K. H. Tsui

The interaction of magnetic fields and stratified convection was studied in the context of the solar and late type stellar dynamos by using numerical 3D MHD simulations. The topology of stratified asymmetric and over-turning convection…

Astrophysics · Physics 2007-05-23 Bertil Dorch , Aake Nordlund

We present a numerical solver for plasma dynamics simulations in Hall magnetohydrodynamic (HMHD) approximation in one, two and three dimensions. We consider both isotropic and anisotropic thermal pressure cases, where a general gyrotropic…

Computational Physics · Physics 2016-10-31 Marek Strumik , Krzysztof Stasiewicz

In two previous papers (Price & Monaghan 2004a,b) (papers I,II) we have described an algorithm for solving the equations of Magnetohydrodynamics (MHD) using the Smoothed Particle Hydrodynamics (SPH) method. The algorithm uses dissipative…

Astrophysics · Physics 2009-11-13 D. J. Price , J. J. Monaghan

A general formulation of the problem of calculating the spectrum of stable and unstable eigenmodes of linearized perturbations about a magnetically confined toroidal plasma is presented. The analysis is based on a new hydromagnetic…

Plasma Physics · Physics 2017-03-07 Robert L Dewar , Li Huey Tuen , Matthew J Hole

Based on the rate of expansion of the solar wind, the plasma should cool rapidly as a function of distance to the Sun. Observations show this is not the case. In this work, a magnetic pumping model is developed as a possible explanation for…

Plasma Physics · Physics 2017-12-13 E. Lichko , J. Egedal , W. Daughton , J. Kasper

We present in this Letter the first global comparison between traditional line-tied steady state magnetohydrodynamic models and a new, fully time-dependent thermodynamic magnetohydrodynamic simulation of the global corona. The maps are…

Solar and Stellar Astrophysics · Physics 2023-06-22 Emily I. Mason , Roberto Lionello , Cooper Downs , Jon A. Linker , Ronald M. Caplan