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The low-frequency instability of a magnetized plasma column and the anomalous radial plasma convection are shown to be linked with the existence of a radial cross-field current along a plasma channel rotating around the central magnetized…

Plasma Physics · Physics 2010-11-10 S. Jaeger , Th. Pierre

We explore streaming instabilities of the electron-ion plasma with relativistic and ultra-relativistic cosmic rays in the background magnetic field in the multi-fluid approach. Cosmic rays can be both electrons and ions. The drift speed of…

High Energy Astrophysical Phenomena · Physics 2015-06-11 A. K. Nekrasov

The procedure of comprehensive analysis of instability of current sheathes in a wide range of frequencies and wave lengths in the electrically neutral approximation has been developed. This comprehensive analysis of instability is based on…

Plasma Physics · Physics 2010-09-17 V. V. Lyahov , V. M. Neshchadim

The most general form of the nonrelativistic Grad-Shafranov equation describing anisotropic pressure effects is formulated within the double adiabatic approximation. It gives a possibility to analyze quantitatively how the anisotropic…

Astrophysics · Physics 2009-10-31 V. S. Beskin , I. V. Kuznetsova

Based on Grad-Shafranov-like equations, a gyrotropic plasma where the pressures in the static regime are only functions of the amplitude of the local magnetic field is shown to be amenable to a variational principle with a free energy…

Plasma Physics · Physics 2015-06-18 E. A. Kuznetsov , T. Passot , V. P. Ruban , P. L. Sulem

The kinetic description of relativistic plasmas in the presence of time-varying and spatially non-uniform electromagnetic fields is a fundamental theoretical issue both in astrophysics and plasma physics. This refers, in particular, to the…

High Energy Astrophysical Phenomena · Physics 2023-06-21 Claudio Cremaschini , Massimo Tessarotto , Zdeněk Stuchlík

Using the chiral kinetic theory we derive the electric and chiral current densities in inhomogeneous relativistic plasma. We also derive equations for the electric and chiral charge chemical potentials that close the Maxwell equations in…

High Energy Physics - Theory · Physics 2016-05-19 E. V. Gorbar , I. A. Shovkovy , S. Vilchinskii , I. Rudenok , A. Boyarsky , O. Ruchayskiy

We solve appropriate drift-diffusion and Landau-Lifshitz-Gilbert equations to demonstrate that unpolarized current flow from a non-magnet into a ferromagnet can produce a precession-type instability of the magnetization. The fundamental…

Materials Science · Physics 2009-11-10 M. D. Stiles , Jiang Xiao , A. Zangwill

The calculation of both resistive and ideal plasma equilibria amounts to solving a number of magnetic differential equations which are of the type $\vec {B}\cdot \nabla \Phi =s$. We apply the necessary and sufficient criterion for the…

Plasma Physics · Physics 2007-05-23 Wolfgang Engelhardt

In thermal equilibrium the ground state of the plasma of Standard Model particles is determined by temperature and exactly conserved combinations of baryon and lepton numbers. We show that at non-zero values of the global charges a…

High Energy Physics - Phenomenology · Physics 2012-10-09 Alexey Boyarsky , Oleg Ruchayskiy , Mikhail Shaposhnikov

A new analytical solution of the set of highly nonlinear two-fluid equations is presented to explain the mechanism for the generation of "seed" magnetic field and plasma flow by assuming the density n to have a profile like an exponential…

Plasma Physics · Physics 2011-02-16 Hamid Saleem

We derive basic scaling equations for relativistic magnetic reconnection in the general case of asymmetric inflow conditions and obtain predictions for the outflow Lorentz factor and the reconnection rate. Kinetic Particle-in-Cell…

Plasma Physics · Physics 2022-05-16 Rostom Mbarek , Colby Haggerty , Lorenzo Sironi , Michael Shay , Damiano Caprioli

Symmetries and conservation laws associated with the ideal Einstein-Euler system, for stationary and axisymmetric stars, can be utilized to define a set of flow constants. These quantities are conserved along flow lines in the sense that…

General Relativity and Quantum Cosmology · Physics 2023-10-05 Arthur G. Suvorov , Kostas Glampedakis

This study examines the stability of Vlasov equilibrium solutions for magnetically confined plasmas, derived through the principle of maximum entropy. By treating the toroidal limit as a perturbation from an analytical cylindrical solution,…

Plasma Physics · Physics 2025-12-23 Aurélien Cordonnier , Yohann Lebouazda , Xavier Leoncini , Guilhem Dif-Pradalier

We present an analytical model of the self-consistent equilibrium of a magnetic flux rope which is obtained in cylindrical geometry. The equilibrium azimuthal magnetic field and plasma pressure are determined in a self-consistent way…

Pattern Formation and Solitons · Physics 2024-02-19 Oleg K. Cheremnykh , Viktor Fedun , Volodymyr M. Lashkin

We consider the 1/2-dimensional relativistic Vlasov-Maxwell system that describes the time-evolution of a plasma. We find a relatively simple criterion for spectral instability of a wide class of equilibria. This class includes…

Analysis of PDEs · Mathematics 2015-05-28 Jonathan Ben-Artzi

Vlasov-Maxwell equilibria are described by the self-consistent solutions of the time-independent Maxwell equations for the real-space dynamics of electromagnetic fields, and the Vlasov equation for the phase-space dynamics of particle…

Plasma Physics · Physics 2017-10-16 O. Allanson , S. Troscheit , T. Neukirch

A general solution to linearized Vlasov equation for an electron electrostatic wave in a homogeneous unmagnetized plasma is derived. The quasi-linear diffusion coefficient resulting from this solution is a continuous function of omega in…

Plasma Physics · Physics 2015-10-15 Deng Zhou

Violation of the axial synnetry of a magnetic field essentially modifies the physics of the plasma outflow in the magnetosphere of rotating objects. In comparison to the axisymmetric outflow, two new affects appear: more efficient…

Astrophysics · Physics 2009-10-31 S. V. Bogovalov

Collisionless plasmas, such as those encountered in tokamaks, exhibit a rich variety of instabilities. The physical origin, triggering mechanisms and fundamental understanding of many plasma instabilities, however, are still open problems.…

Plasma Physics · Physics 2015-06-22 Valeria Ratushnaya , Ravi Samtaney