Non-solitonic examples of the application of geometrical and topological methods in plasma physics and magnetohydrodynamics (MHD) are given. The first example considers the generalization of magnetic helicity to gravitational torsion loop. The second example considers also the application of this same torsion loop metric to some problems of helical fields in MHD dynamo theory. In the last examp...

Alfvén waves as excited in black hole accretion disks and neutron star magnetospheres are the building blocks of turbulence relativistic, magnetized plasmas. A large reservoir magnetic energy is available these systems, such that plasma can be heated significantly even weak regime. We perform high-resolution three-dimensional simulations counter-propagating waves, showing an $E_{B_{\perp }}(k_{...

In this work, we perform direct numerical simulations of three-dimensional magnetohydrodynamics with a background magnetic field, representing solar wind plasma, and introduce test particles to explore how turbulent electromagnetic environment affects them. Our focus is on the terms electric field present in generalized Ohm's law that usually dismissed as unimportant. These are Hall electronic ...

Abstract The solar wind consists of continuous streams charged particles that escape into the heliosphere from Sun, and is split fast slow components, with emerging interiors coronal holes. Near ecliptic plane, low-latitude holes interspersed a highly structured wind, source regions drivers which are poorly understood. Here we report extreme-ultraviolet observations reveal spatially complex web...

1 Introduction Magnetohydrodynamics (MHD) is concerned with the dynamics of fluids that are good conductors of electricity, and specifically with those effects that arise through the interaction of the motion of the fluid and any ambient magnetic field B(x, t) that may be present. Such a field is produced by electric current sources which may be either external to the fluid (in which case we ma...

We use the Hopf mapping to construct a magnetic configuration consisting of closed field lines, each of which is linked with all the other ones. We obtain in this way a solution of the equations of magnetohydrodynamics of an ideal incompressible fluid with infinite conductivity, which describes a localized topological soliton.

We apply the recently established connection between nonlinear fluid dynamics and AdS gravity to the case of the dyonic black brane in AdS4. This yields the equations of fluid dynamics for a 2 + 1 dimensional charged fluid in a background magnetic field. We construct the gravity solution to second order in the derivative expansion. From this we find the fluid dynamical stress tensor and charge ...

Reconnection is a fundamental event in many areas of science, from the interaction of vortices in classical and quantum fluids, and magnetic flux tubes in magnetohydrodynamics and plasma physics, to the recombination in polymer physics and DNA biology. By using fundamental results in topological fluid mechanics, the helicity of a flux tube can be calculated in terms of writhe and twist contribu...

We present a model for the spontaneous onset of fast magnetic reconnection in a weakly collisional plasma, such as the solar corona. When a current layer of macroscopic width undergoes collisional (Sweet-Parker) reconnection, a narrow dissipation region forms around the X-line. This dissipation region naturally becomes narrower during the reconnection process as stronger magnetic fields are con...

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...