Kinetic cascade beyond magnetohydrodynamics of solar wind turbulence in two-dimensional hybrid simulations Statistical analysis of fluctuations and noise-driven transport in particle-in-cell simulations of plasma turbulence We provide a tutorial on the paradigms and tools of magnetohydrodynamic (MHD) turbulence. The principal paradigm is that of a turbulent cascade from large scales to small, r...

Two fluid (TF) ideal magnetohydrodynamics (MHD) equations are a generalized form of the ideal MHD equations in which the electrons and ions are considered as separate species. The design of efficient numerical schemes for the these equations is complicated on account of the non-linearities and the presence of stiff source terms, particularly for realistic charge to mass ratios. We design novel ...

Magnetic fields play an important role in almost all astrophysical phenomena including star formation. But due to the difficulty in analytic modeling and observation, magnetic fields are still poorly studied and numerical simulation has become a major tool. We have implemented a cosmological magnetohydrodynamics package for Enzo which is an AMR hydrodynamics code designed to simulate structure ...

An algorithm suitable for numerical solution of linear eigenmode problems in resistive magnetohydrodynamics MHD and two-fluid MHD models without prior approximations is presented. For these plasma models, sets of equations suitable for numerical solution are derived and the details of the algorithm of this solution are given. The algorithm is general and is suitable for solution of boundary eig...

Besides total energy, three-dimensional incompressible Hall magnetohydrodynamics (MHD) possesses two inviscid invariants, which are the magnetic helicity and the generalized helicity. Exact relations are derived for homogeneous (nonisotropic) stationary Hall MHD turbulence (and also for its inertialess electron MHD limit) with nonzero helicities and in the asymptotic limit of large Reynolds num...

We report the observations of X-ray oscillations during the flare in a cool active star ξ Boo for the first time. ξ Boo was observed by EPIC/MOS of XMM-Newton satellite. The X-ray light curve is investigated with wavelet and periodogram analyses. Both analyses clearly show oscillations of the period of ∼ 1019 s. We interpret these oscillations as a fundamental fast-kink mode of magnetoacoustic ...

In this paper we prove a Liouville type theorem for the stationary magnetohydrodynamics (MHD) system in R 3 . Let ( v , B p ) be smooth solution to MHD equations We show that if there exist matrix valued potential functions Φ Ψ such ∇ ⋅ = and whose L 6 mean oscillations have certain growth condition near infinity, namely ⨍ r | − d x + ≤ C ∀ 1 < ∞ then 0 =constant. With additional assumption of ...

Magnetohydrodynamics (MHD) provides a convenient, programmable means for propelling liquids and controlling fluid flow in microfluidic devices without a need for mechanical pumps and valves. When the magnetic field is uniform and the electric field in the electrolyte solution is confined to a plane that is perpendicular to the direction of the magnetic field, the Lorentz body force is irrotatio...

We present two-dimensional, cylindrically symmetric simulations of hydrodynamic and magnetohydrodynamic (MHD) wide-angle winds interacting with a collapsing environment. These simulations have direct relevance to young stellar objects (YSOs). The results may also be of use in the study of collimated outflows from proto-planetary and planetary nebulae. We study a range of wind configurations con...

In this paper we describe and analyze a two-level method for discretizing the equations of stationary, viscous, incompressible magnetohydrodynamics. The MHD equations model the ow of a viscous, incompressible, electrically conducting uid, interacting with magnetic and electric elds. These arise in plasma physics, nuclear reactor technology, and geophysics. The suggested algorithm involves solvi...