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By using the quantum hydrodynamic and Maxwell equations, we derive nonlinear electron-magnetohydrodynamic (MHD), Hall-MHD, and dust Hall-MHD equations for dense quantum magnetoplasmas. The nonlinear equations include the electromagnetic,…

Plasma Physics · Physics 2015-05-13 N. Shukla , G. Brodin , M. Marklund , P. K. Shukla , L. Stenflo

We present numerical simulations of electron magnetohydrodynamic (EMHD) and electron reduced MHD (ERMHD) turbulence. Comparing scaling relations, we find that both EMHD and ERMHD turbulence show similar spectra and anisotropy. We develop…

Earth and Planetary Astrophysics · Physics 2009-07-24 Jungyeon Cho , A. Lazarian

We investigate the scale-locality of cascades of conserved invariants at high kinetic and magnetic Reynolds numbers in the ``inertial-inductive range'' of magnetohydrodynamic (MHD) turbulence, where velocity and magnetic field increments…

Solar and Stellar Astrophysics · Physics 2010-04-06 Hussein Aluie , Gregory L. Eyink

A new multidimensional simulation code for relativistic two-fluid electrodynamics (RTFED) is described. The basic equations consist of the full set of Maxwell's equations coupled with relativistic hydrodynamic equations for separate two…

High Energy Astrophysical Phenomena · Physics 2016-11-09 Takanobu Amano

The standard magnetohydrodynamic (MHD) description of the plasma in the hot, magnetized gas of the intra-cluster (ICM) medium is not adequate because it is weakly collisional. In such collisionless magnetized gas, the microscopic velocity…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 R. Santos-Lima , E. M. de Gouveia Dal Pino , A. Lazarian , G. Kowal , D. Falceta-Gonçalves

It is well known that the nonlinear evolution of magnetohydrodynamic (MHD) turbulence generates current sheets. In the solar wind turbulence, current sheets are frequently observed and they are believed to be an important pathway for the…

Solar and Stellar Astrophysics · Physics 2026-03-19 Chen Shi , Marco Velli , Nikos Sioulas , Zijin Zhang

The large abundance of electrically neutral particles has a remarkable impact on the dynamics of many astrophysical plasmas. Here, we use a two-fluid model that includes charge-neutral elastic collisions and Hall's current to study the…

Solar and Stellar Astrophysics · Physics 2025-02-20 David Martínez-Gómez

We present a phenomenological and numerical study of strong Alfv\'enic turbulence in a magnetically dominated collisionless relativistic plasma with a strong background magnetic field. In contrast with the non-relativistic case, the energy…

Plasma Physics · Physics 2023-06-06 Cristian Vega , Stanislav Boldyrev , Vadim Roytershteyn

It is economical to devise ways and means to simplify a multi-species particle system. The single fluid MHD description of a plasma is sufficiently adequate to study plasma phenomena . A plasma containing multi-species of particles can also…

Plasma Physics · Physics 2021-06-16 V. Krishan

A Suydam-unstable circular cylinder of plasma with periodic boundary conditions in the axial direction is studied within the approximation of linearized ideal magnetohydrodynamics (MHD). The normal mode equations are completely separable,…

Plasma Physics · Physics 2009-11-10 R. L. Dewar , T. Tatsuno , Z. Yoshida , C. Nuehrenberg , B. F. McMillan

Radio-wave scintillation observations reveal a nearly Kolmogorov spectrum of density fluctuations in the ionized interstellar medium. Although this density spectrum is suggestive of turbulence, no theory relevant to its interpretation…

Astrophysics · Physics 2009-11-06 Yoram Lithwick , Peter Goldreich

Extended magnetohydrodynamics (XMHD) is a fluid plasma model generalizing ideal MHD by taking into account the impact of Hall drift effects and the influence of electron inertial effects. XMHD has a Hamiltonian structure which has received…

Analysis of PDEs · Mathematics 2024-06-26 Christophe Cheverry , Nicolas Besse

Edge plasma turbulence is critical to the performance of magnetic confinement fusion devices. Towards better understanding edge turbulence in both theory and experiment, a custom-built physics-informed deep learning framework constrained by…

Plasma Physics · Physics 2022-05-17 Abhilash Mathews

We are concerned with a model of ideal compressible isentropic two-fluid magnetohydrodynamics (MHD). Introducing an entropy-like function, we reduce the equations of two-fluid MHD to a symmetric form which looks like the classical MHD…

Analysis of PDEs · Mathematics 2018-12-26 Lizhi Ruan , Yuri Trakhinin

Bright transient objects in different wave bands have been discovered in recent years. To explain these short (from ms to s), and very powerful events different models, galactic and extragalactic, have been considered. One of popular model…

Plasma Physics · Physics 2024-10-30 G. S. Bisnovatyi-Kogan , I. A. Kondratyev , S. G. Moiseenko

The free decay of non-helical relativistic magnetohydrodynamic turbulence is studied numerically, and found to exhibit cascading of magnetic energy toward large scales. Evolution of the magnetic energy spectrum $P_M(k,t)$ is self-similar in…

High Energy Astrophysical Phenomena · Physics 2015-06-22 Jonathan Zrake

We build on recent developments in the study of fluid turbulence [Gibbon \textit{et al.} Nonlinearity 27, 2605 (2014)] to define suitably scaled, order-$m$ moments, $D_m^{\pm}$, of $\omega^\pm= \omega \pm j$, where $\omega$ and $j$ are,…

Fluid Dynamics · Physics 2016-05-27 J. D. Gibbon , A. Gupta , G. Krstulovic , R. Pandit , H. Politano , Y. Ponty , A. Pouquet , G. Sahoo , J. Stawarz

Previous studies have established that a weak-to-strong transition occurs in Alfvenic magnetohydrodynamic (MHD) turbulence as energy cascades from large to small scales. However, the spatiotemporal (frequency-wavenumber) properties of…

Plasma Physics · Physics 2026-03-10 Siqi Zhao , Huirong Yan , Terry Z. Liu , Chuanpeng Hou , Ka Ho Yuen

Weakly ionised plasmas, formed in high enthalpy hypersonic flows, can be actively manipulated via imposed magnetic fields - a concept termed magnetohydrodynamic (MHD) flow control. Imposed MHD effects, within flows which exhibit multiple…

Computational Physics · Physics 2022-11-09 Heather A. Muir , Nikos Nikiforakis

We address three two-dimensional magnetohydrodynamics models: reduced magnetohydrodynamics (RMHD), Hazeltine's model, and the Charney--Hasegawa--Mima (CHM) equation. These models are derived to capture the basic features of…

Plasma Physics · Physics 2026-02-11 Klas Modin , Michael Roop