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The constraint of incompressibility is often used to simplify the magnetohydrodynamic (MHD) description of linearized plasma dynamics because it does not affect the ideal MHD marginal stability point. In this paper two methods for…

Plasma Physics · Physics 2009-11-10 B. F. McMillan , R. L. Dewar , R. G. Storer

We have carried out high resolution MHD simulations of the nonlinear evolution of Kelvin-Helmholtz unstable flows in 2 1/2 dimensions. The modeled flows and fields were initially uniform except for a thin shear layer with a hyperbolic…

Astrophysics · Physics 2009-10-30 T. W. Jones , Joseph B. Gaalaas , Dongsu Ryu , Adam Frank

Very strong magnetic fields can arise in non-central heavy-ion collisions at ultrarelativistic energies, which may not decay quickly in a conducting plasma. We carry out relativistic magnetohydrodynamics (RMHD) simulations to study the…

High Energy Physics - Phenomenology · Physics 2017-09-11 Arpan Das , Shreyansh S. Dave , P. S. Saumia , Ajit M. Srivastava

Charged particles interacting with electromagnetic waves have a portion of their energy tied up in wave-driven oscillations. When these waves are localized to the exhaust of linear magnetic confinement systems this ponderomotive effect can…

Plasma Physics · Physics 2024-08-19 T. Rubin , I. E. Ochs , N. J. Fisch

Equilibrating gravitation by electric forces, microparticles can be confined in the plasma sheath above suitably biased local electrodes.Their position depends on the detailed structure of the plasma sheath and on the charge that the…

Plasma Physics · Physics 2010-10-15 G. Schubert , R. Basner , H. Kersten , H. Fehske

Magnetic reconnection can develop spontaneously via the tearing instability, often invoked to explain disruptive instabilities in fusion devices, solar flares, the generation of periodic density disturbances at the tip of helmet streamers,…

Plasma Physics · Physics 2026-03-04 Faisal Sayed , Anna Tenerani , Richard Fitzpatrick

Generic equilibria are derived for turbulent relaxing plasmas via an entropy-maximization procedure that accounts for the short-time conservation of certain collisionless invariants. The conservation of these collisionless invariants endows…

A problem of the instability of an inhomogeneous axisymmetric plasma jet in a parallel magnetic field is solved. The jet boundary becomes, under certain conditions, unstable relative to magnetosonic oscillations (Kelvin-Helmholtz…

Plasma Physics · Physics 2015-05-18 Anatoly S. Leonovich

A relativistic self-gravitating equilibrium system with steady flow as well as spherical symmetry is discovered. The energy-momentum tensor contains the contribution of a current related to the flow and the metric tensor does an…

General Relativity and Quantum Cosmology · Physics 2026-01-08 Shuichi Yokoyama

We establish a variational framework for nonlinear instabilities in a setting of the ideal magnetohydrodynamic (MHD) equations. We apply a variational method to various kind of smooth steady states which are shown to be nonlinearly unstable…

Analysis of PDEs · Mathematics 2007-05-23 Hyung Ju Hwang

How thermal equilibrium is determined in a weakly collisional plasma is a fundamental question in plasma physics. This letter shows that the turbulence driven by the magnetic curvature and density gradient tends to equilibrate the…

Plasma Physics · Physics 2024-05-24 Ryusuke Numata

Depending on the involved physiobiological parameters, stable or unstable behavior in active fluids is observed. In this paper a rigorous analytical justification of (in-)stability within the corresponding regimes is given. In particular,…

Analysis of PDEs · Mathematics 2023-08-03 Christiane Bui , Christian Gesse , Jürgen Saal

The turbulent amplification of cosmic magnetic fields depends upon the material properties of the host plasma. In many hot, dilute astrophysical systems, such as the intracluster medium (ICM) of galaxy clusters, the rarity of…

High Energy Astrophysical Phenomena · Physics 2020-09-23 D. A. St-Onge , M. W. Kunz , J. Squire , A. A. Schekochihin

The large-scale dynamics of plasmas is well described within the framework of magnetohydrodynamics (MHD). However, whenever the ion density of the plasma becomes sufficiently low, the Hall effect is likely to become important. The role of…

Solar and Stellar Astrophysics · Physics 2012-07-04 Cecilia Bejarano , Daniel Gómez , Axel Brandenburg

It is known that a plasma in a magnetic field, conceived microscopically as a system of point charges, can exist in a magnetized state, and thus remain confined, inasmuch as it is in an ordered state of motion, with the charged particles…

Mathematical Physics · Physics 2015-06-04 A. Carati , M. Zuin , A. Maiocchi , M. Marino , E. Martines , L. Galgani

Both global dynamics and turbulence in magnetized weakly collisional cosmic plasmas are described by general magnetofluid equations that contain pressure anisotropies and heat fluxes that must be calculated from microscopic plasma kinetic…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 A. A. Schekochihin , S. C. Cowley , F. Rincon , M. S. Rosin

In this Master thesis we investigate the influence of pressure anisotropy and incompressible flow of arbitrary direction on the equilibrium properties of magnetically confined, axisymmetric toroidal plasmas. The main novel contribution is…

Plasma Physics · Physics 2016-08-16 Achilleas Evangelias

Coherent structures, such as solitary waves, appear in many physical problems, including fluid mechanics, optics, quantum physics, and plasma physics. A less studied setting is found in geophysics, where highly viscous fluids couple to…

Pattern Formation and Solitons · Physics 2008-01-04 Gideon Simpson , Michael I. Weinstein

The stability of the interface separating two immiscible incompressible fluids of different densities and viscosities is considered in the case of fluids filling a cavity which performs horizontal harmonic oscillation. There exists a simple…

Fluid Dynamics · Physics 2009-10-31 Mikhail V. Khenner , Dmitrii V. Lyubimov , Tatyana S. Belozerova , Bernard Roux

The relaxation of a helical magnetic field ${\bf B}({\bf x}, t)$ in a high-conductivity plasma contained in the annulus between two perfectly conducting coaxial cylinders is considered. The plasma is of low density and its pressure is…

Plasma Physics · Physics 2017-12-06 Henry Keith Moffatt , Krzysztof Andrzej Mizerski