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We present numerical studies of 3-dimensional magnetohydrodynamic (MHD) turbulence in a strongly magnetized medium in the extremely relativistic limit, in which the inertia of the charge carriers can be neglected. We have focused on strong…

Astrophysics · Physics 2009-11-10 Jungyeon Cho

Turbulence is the most common state of astrophysical flows. In typical astrophysical fluids, turbulence is accompanied by strong magnetic fields, which has a large impact on the dynamics of the turbulent cascade. Recently, there has been a…

Astrophysics · Physics 2011-05-10 Jungyeon Cho , A. Lazarian , Ethan Vishniac

We present an analysis of data stemming from numerical simulations of decaying magnetohydrodynamic (MHD) turbulence up to grid resolution of 1536^3 points and up to Taylor Reynolds number of 1200. The initial conditions are such that the…

Solar and Stellar Astrophysics · Physics 2015-05-13 P. D. Mininni , A. Pouquet

The adiabatic limit of a recently proposed dynamical extension of Taylor relaxation, \emph{multi-region relaxed magnetohydrodynamics} (MRxMHD) is summarized, with special attention to the appropriate definition of relative magnetic…

Plasma Physics · Physics 2017-04-05 Robert L. Dewar , Stuart R. Hudson , Amitava Bhattacharjee , Zensho Yoshida

Within the context of a viscoresistive magnetohydrodynamic (MHD) model with anisotropic heat transport and cross-field mass diffusion, we introduce novel three-term representations for the magnetic field (background vacuum field, field line…

Plasma Physics · Physics 2019-10-15 Nikita Nikulsin , Matthias Hoelzl , Alessandro Zocco , Karl Lackner , Sibylle Günter

We study a new type of magnetoconvection in a nonuniform rotating plasma layer under a constant vertical magnetic field. To describe the weakly nonlinear stage of convection we apply Galerkin-truncated approximation and we obtain the system…

Earth and Planetary Astrophysics · Physics 2019-03-27 M. I. Kopp , A. V. Tur , V. V. Yanovsky

Anomalous symmetries induce currents which can be parallel rather than orthogonal to the hypermagnetic field. Building on the analogy with charged liquids at high magnetic Reynolds numbers, the persistence of anomalous currents is…

High Energy Physics - Theory · Physics 2013-10-09 Massimo Giovannini

We study two dimensional freely decaying magnetohydrodynamic turbulence. We investigate the time evolution of the probability law of the gauge field and the stream function. Assuming that this probability law is initially defined by a…

High Energy Physics - Theory · Physics 2007-05-23 Ph. Brax

Magnetohydrodynamic turbulent flows driven by random mechanical and electromagnetic external forces of zero helicities are investigated by means of direct numerical simulations. It is shown that despite the absence of helicities in the…

Plasma Physics · Physics 2015-06-19 Vassilios Dallas , Alexandros Alexakis

A phenomenological model of parametric surface waves (Faraday waves) is introduced in the limit of small viscous dissipation that accounts for the coupling between surface motion and slowly varying streaming and large scale flows (mean…

Pattern Formation and Solitons · Physics 2009-11-10 J. M. Vega , S. Ruediger , J. Vinals

The magnetohydrodynamics (MHD) equations are generally known to be difficult to solve numerically, due to their highly nonlinear structure and the strong coupling between the electromagnetic and hydrodynamic variables, especially for high…

Numerical Analysis · Mathematics 2022-11-22 Fabian Laakmann

We present the basic equations for stationary, incompressible resistive MHD flows in two dimensions. This leads to a system of differential equations for two flux functions, one elliptic partial differential equation (Grad-Shafranov-like)…

Astrophysics · Physics 2009-11-11 Dieter H. Nickeler , Hans-Joerg Fahr

The non-modal self-heating mechanism driven by the velocity shear in kinematically complex magnetohydrodynamic (MHD) plasma flows is considered. The study is based on the full set of MHD equations including dissipative terms. The equations…

Solar and Stellar Astrophysics · Physics 2015-06-12 Zaza Osmanov , Andria Rogava , Stefaan Poedts

A new model is proposed for low $Rm$ MHD flows which remain turbulent even in the presence of a magnetic field. These flows minimize the Joule dissipation because of their tendency to become two-dimensional and, therefore to suppress all…

Fluid Dynamics · Physics 2020-06-24 Alban Pothérat , Joël Sommeria , René Moreau

We derive the dynamics of magnetohydrodynamic waves in two-fluid partially ionized plasmas and to compare the results with those obtained under single-fluid description. Two-fluid magnetohydrodynamic equations are used, where ion-electron…

Solar and Stellar Astrophysics · Physics 2015-05-27 T. V. Zaqarashvili , M. K. Khodachenko , H. O. Rucker

Variational principles for magnetohydrodynamics (MHD) were introduced by previous authors both in Lagrangian and Eulerian form. In this paper we introduce simpler Eulerian variational principles from which all the relevant equations of…

Plasma Physics · Physics 2017-03-24 Asher Yahalom

The problem of natural convection in a laterally heated three-dimensional cubic cavity under the action of an externally imposed magnetic field is revisited. Flows at the Rayleigh number Ra=10^6 and the Hartmann number Ha=100, and three…

Fluid Dynamics · Physics 2018-05-15 A. Gelfgat , O. Zikanov

The evolution of electromagnetic and thermodynamic fields in a non-ideal fluid are studied in the framework of ultrarelativistic transverse magnetohydrodynamics (MHD), which is essentially characterized by electric and magnetic fields being…

Nuclear Theory · Physics 2017-12-20 M. Shokri , N. Sadooghi

A new class of analytical 2-D solutions of the full set of the steady magnetohydrodynamic (MHD) equations, describing an axisymmetric helicoidal magnetized outflow originating from a rotating central object, is presented. The solutions are…

Astrophysics · Physics 2009-11-06 J. J. G. Lima , E. R. Priest , K. Tsinganos

The fluid-scale evolution of relativistic magnetic reconnection is investigated by using two-fluid and magnetofluid simulation models. Relativistic two-fluid simulations demonstrate the meso-scale evolution beyond the kinetic scales, and…

High Energy Astrophysical Phenomena · Physics 2011-10-17 Seiji Zenitani , Michael Hesse , Alex Klimas