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A regime where a uniformly magnetized plasma could be unstable to a spatial perturbation in the magnetic field is explored. In this regime, a uniformly magnetized state does not maximize the entropy. The physical implication is discussed in…

Plasma Physics · Physics 2015-06-04 S. Son , Sung Joon Moon

It is shown that the magnetohydrodynamic equilibrium states of an axisymmetric toroidal plasma with finite resistivity and flows parallel to the magnetic field are governed by a second-order partial differential equation for the poloidal…

Plasma Physics · Physics 2015-06-26 G. N. Throumoulopoulos , H. Tasso

We consider a free boundary problem for the axially symmetric incompressible ideal magnetohydrodynamic equations that describes the motion of the plasma in vacuum. Both the plasma magnetic field and vacuum magnetic field are tangent along…

Analysis of PDEs · Mathematics 2017-11-28 Xumin Gu

The influence of a constant uniform magnetic field on the thermodynamic properties of a partially ionized hydrogen plasma is studied. Using the method of Green' s function various interaction contributions to the thermodynamic functions are…

Plasma Physics · Physics 2016-09-08 M. Steinberg , J. Ortner , W. Ebeling

A local magnetic equilibrium solution is sought around the magnetic axis in order to identify the key parameters defining the magnetic-surface's up-down asymmetry in the core of tokamak plasmas. The asymmetry is found to be determined…

Plasma Physics · Physics 2014-10-08 Paulo Rodrigues , Nuno F. Loureiro , Justin Ball , Felix I. Parra

Solutions of the linearized Vlasov-Poisson equations for the electric field radiated by a time varying point charge in a three-dimensional, unbounded, spatially homogeneous plasma with a uniform background magnetic field and a uniform…

Plasma Physics · Physics 2015-06-04 John J. Podesta

A systematic theory of the asymptotic expansion of the magnetohydrodynamic (MHD) equilibrium in the distance from the magnetic axis is developed to include arbitrary smooth currents near the magnetic axis. Compared to the vacuum and the…

Plasma Physics · Physics 2024-02-28 W. Sengupta , E. Rodriguez , R. Jorge , M. Landreman A. Bhattacharjee

For a system of equations describing one-dimensional nonlinear oscillations in a magnetoactive plasma, we study the effect of a constant magnetic field on the breaking of oscillations. For the nonrelativistic case, a criterion for the…

Plasma Physics · Physics 2022-11-23 Olga Rozanova , Evgeniy Chizhonkov

The dynamics of the oscillator system is investigated. The conditions under which this dynamics becomes unstable are determined. In particular, it is shown that plasma in constant magnetic field becomes unstable if its density exceeds a…

Plasma Physics · Physics 2019-04-23 Vyacheslav Buts

The hybrid Vlasov-Maxwell system of equations is suitable to describe a magnetized plasma at scales of the order of or larger than proton kinetic scales. An exact stationary solution is presented by revisiting previous results with a…

Plasma Physics · Physics 2018-06-06 F. Malara , O. Pezzi , F. Valentini

A novel plasma equilibrium in the high-$\beta$, Hall regime that produces centrally-peaked, high Mach number Couette flow is described. Flow is driven using a weak, uniform magnetic field and large, cross field currents. Large magnetic…

Plasma Physics · Physics 2020-09-30 K. Flanagan , J. Milhone , J. Egedal , D. Endrizzi , J. Olson , E. E. Peterson , R. Sassella , C. B. Forest

An exact analytic solution is obtained for a uniformly expanding, neutral, highly conducting plasma sphere in an ambient dipole magnetic field with an arbitrary orientation of the dipole moment in the space. Based on this solution the…

Plasma Physics · Physics 2013-02-12 H. B. Nersisyan , K. A. Sargsyan , D. A. Osipyan , H. H. Matevosyan

A representation of the static MHD equilibrium system in coordinates connected with magnetic surfaces is suggested. It is used for producing families of non-trivial 3D exact solutions of isotropic and anisotropic plasma equilibria in…

Mathematical Physics · Physics 2007-05-23 Alexei F. Cheviakov

The analytical and numerical investigations of the energy loss rate of the test particle in a magnetized electron plasma are developed on the basis of the Vlasov-Poisson equations, and the main results are presented. The Larmor rotation of…

Plasma Physics · Physics 2009-10-31 H. B. Nersisyan

Magnetic helicity, and more broadly magnetic field line topology, impose constraints on the plasma dynamics. Helically interlocked magnetic rings are in a non-trivial topological state. It is harder to bring them into a topologically…

Plasma Physics · Physics 2024-12-09 Simon Candelaresi , Fabio Del Sordo

Expressions of polarization and magnetization in magnetically confined plasmas are derived, which include full expansions in the gyroradius to treat effects of both equilibrium and microscopic electromagnetic turbulence. Using the obtained…

Plasma Physics · Physics 2022-06-01 H. Sugama , S. Matsuoka , M. Nunami

We show that in a neutral magnetized plasma there exist microscopic oscillatory modes, with wavelengths of the order of magnitude of the mean interparticle distance, which become unstable when the electron density exceeds a limit…

Plasma Physics · Physics 2010-06-24 M. Marino , M. Zuin , A. Carati , E. Martines , L. Galgani

The stationary axisymmetric force-free magnetosphere of a pulsar is studied analytically. The pulsar equation is solved in the region close to the magnetic axis. Proceeding from linearization of the current function in the axial region, we…

High Energy Astrophysical Phenomena · Physics 2015-06-11 S. A. Petrova

Macroscopic plasma polarization, which is created by gravitation and other mass-acting (inertial) forces in massive astrophysical objects is under discussion. Non-ideality effect due to strong Coulomb interaction of charged particles is…

Solar and Stellar Astrophysics · Physics 2015-05-19 Igor Iosilevskiy

A magnetic field was recently shown to enhance field-parallel heat conduction in a strongly correlated plasma whereas cross-field conduction is reduced. Here we show that in such plasmas, the magnetic field has the additional effect of…

Plasma Physics · Physics 2017-01-25 T. Ott , M. Bonitz , P. Hartmann , Z. Donkó