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The hydrodynamic limit of the Vlasov-Maxwell-Boltzmann equations is considered for weak solutions. Using relative entropy estimate about an absolute Maxwellian, an incompressible Electron-Magnetohydrodynamics-Fourier limit for solutions of…

Analysis of PDEs · Mathematics 2011-02-22 Xianpeng Hu , Dehua Wang

The process of magnetic relaxation was studied in bismuth ferrite BiFeO3 multiferroic micro-cubes obtained by means of microwave assisted Pechini process. Two different mechanisms of relaxation were found. The first one is a rapid magnetic…

We derive the relativistic non-resistive, viscous second-order magnetohydrodynamic equations for the dissipative quantities using the relaxation time approximation. The Boltzmann equation is solved for a system of particles and…

Nuclear Theory · Physics 2021-04-07 Ankit Kumar Panda , Ashutosh Dash , Rajesh Biswas , Victor Roy

The resistive magnetohydrodynamic (MHD) equations as usually defined in the quasineutral approximation refer to a system of 14 scalar equations in 14 scalar variables, hence are determined to be complete and soluble. These equations are a…

Plasma Physics · Physics 2008-12-12 Robert W. Johnson

A recent work [arXiv:2402.04639] considered the dynamical equations for ferromagnets using Onsager's irreversible thermodynamics with fundamental variables magnetization $\vec{M}$ and spin current $\vec{J}_{i}$. The resulting equations have…

Mesoscale and Nanoscale Physics · Physics 2024-10-01 Wayne M. Saslow , Chen Sun

We combine Maxwell's equations with Eulers's equation, related to a velocity field of an immaterial fluid, where the density of mass is replaced by a charge density. We come out with a differential system able to describe a relevant…

General Physics · Physics 2009-11-26 Daniele Funaro

This Letter presents a magnetohydrodynamic model that describes the small-amplitude fluctuations with wavelengths comparable to ion inertial length in the presence of a relativistically strong mean magnetic field. The set of derived…

Plasma Physics · Physics 2023-10-31 Y. Kawazura

We develop a new framework for the modelling of charged fluid dynamics in general relativity. The model, which builds on a recently developed variational multi-fluid model for dissipative fluids, accounts for relevant effects like the…

General Relativity and Quantum Cosmology · Physics 2017-05-31 N. Andersson , K. Dionysopoulou , I. Hawke , G. L. Comer

We revisit the issue of conservation of magnetic helicity and the Woltjer-Taylor relaxation theory in magnetohydrodynamics in the context of weak solutions. We introduce a relaxed system for the ideal MHD system, which decouples the effects…

Analysis of PDEs · Mathematics 2021-09-21 Daniel Faraco , Sauli Lindberg , László Székelyhidi

In this work, we present a novel framework of relativistic non-resistive dissipative magnetohydrodynamics for spin-polarized particles. Utilizing a classical relativistic kinetic equation for the distribution function in an extended…

High Energy Physics - Phenomenology · Physics 2024-01-30 Samapan Bhadury , Wojciech Florkowski , Amaresh Jaiswal , Avdhesh Kumar , Radoslaw Ryblewski

Metriplectic dynamics is applied to compute equilibria of fluid dynamical systems. The result is a relaxation method in which Hamiltonian dynamics (symplectic structure) is combined with dissipative mechanisms (metric structure) that…

Plasma Physics · Physics 2018-12-05 C. Bressan , M. Kraus , P. J. Morrison , O. Maj

A simple generalization of the MHD model accounting for the fluctuations of the configurations due to kinetic effects in plasmas in short times small scales is considered. The velocity of conductive fluid and the magnetic field are…

Plasma Physics · Physics 2007-10-26 D. Volchenkov , R. Lima

Imposing the Petrov-like boundary condition on the hypersurface at finite cutoff, we derive the hydrodynamic equation on the hypersurface from the bulk Einstein equation with electromagnetic field in the near horizon limit. We first get the…

High Energy Physics - Theory · Physics 2012-11-02 Cheng-Yong Zhang , Yi Ling , Chao Niu , Yu Tian , Xiao-Ning Wu

A self-consistent, thermodynamic approach is employed to derive the wave energy of a magnetohydrodynamic system within the harmonic approximation and to obtain the familiar dispersion relation from the resulting equation of motion. The…

Plasma Physics · Physics 2008-02-03 S. Chatterjee , P. S. Joarder

The present article discusses the physics and mechanics of evaporation of pendent, aqueous ferrofluid droplets and modulation of the same by external magnetic field. We show experimentally and by mathematical analysis that the presence of…

Fluid Dynamics · Physics 2020-08-26 Ankur Chattopadhyay , Raghvendra Kumar Dwivedi , A R Harikrishnan , Purbarun Dhar

A new formulation of time-dependent Relaxed Magnetohydrodynamics (RxMHD) is derived variationally from Hamilton's Action Principle using microscopic conservation of mass, and macroscopic conservation of total magnetic helicity, cross…

Plasma Physics · Physics 2020-06-04 R. L. Dewar , J. W. Burby , Z. Qu , N. Sato , M. J. Hole

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

The viscosity of ferrofluid has an important role in liquid sealing of the hard disk drives, biomedical applications as drug delivery, hyperthermia, and magnetic resonance imaging. In the absence of a magnetic field, the viscosity of…

Fluid Dynamics · Physics 2021-06-01 Anupam Bhandari

At the zero temperature limit, a one-dimensional steady solution to the hydrodynamic equation of a U(2) invariant superfluid is obtained. This solution reveals that the magnitude of magnetization is always directly proportional to the…

Quantum Gases · Physics 2025-04-03 Guang-Xin Pang , Yi-Cai Zhang

We explore the necking, filament thinning, and pinchoff dynamics of ferrofluid droplets within a magnetic field, via a simple and low-cost experimental method. In our studies, both the Ohnesorge number Oh and the Deborah number De are O1, a…

Fluid Dynamics · Physics 2025-12-23 Neeladri Sekhar Bera , Apurba Roy , Purbarun Dhar
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