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A generalised Grad-Shafranov equation that governs the equilibrium of an axisymmetric toroidal plasma with anisotropic pressure and incompressible flow of arbitrary direction is derived. This equation includes six free surface functions and…

Plasma Physics · Physics 2016-03-23 A. Evangelias , G. N. Throumoulopoulos

The Euler-Maxwell system as a hydrodynamic model for plasma physics to describe the dynamics of the compressible electrons in a constant charged non-moving ion background is studied. The global smooth flow with small amplitude is…

Analysis of PDEs · Mathematics 2011-07-12 Renjun Duan

Starting from the Vlasov-Maxwell equations describing the dynamics of various species in a quasi-neutral plasma, an exact relativistic hydrodynamic closure for a special type of water-bag distributions satisfying the Vlasov equation has…

Plasma Physics · Physics 2023-05-30 Stephan I. Tzenov

We consider the plasma confined in a general axisymmetric spatial domain with perfect conducting boundary which reflects particles specularly, and look at a certain class of equilibria, assuming axisymmetry in the problem. We prove a sharp…

Analysis of PDEs · Mathematics 2019-10-15 Katherine Zhiyuan Zhang

We consider a three-dimensional kinetic model for a two species plasma consisting of electrons and ions confined by an external nonconstant magnetic field. Then we derive a kinetic-fluid model when the mass ratio $m_e/m_i$ tends to zero.…

Analysis of PDEs · Mathematics 2026-01-08 Maxime Herda

The possible occurrence of equilibrium off-equatorial tori in the gravitational and electromagnetic fields of astrophysical compact objects has been recently proved based on non-ideal MHD theory. These stationary structures can represent…

High Energy Astrophysical Phenomena · Physics 2015-06-17 Claudio Cremaschini , Jiří Kovář , Petr Slaný , Zdeněk Stuchlík , Vladimír Karas

A largely unsolved theoretical issue in controlled fusion research is the consistent \textit{kinetic} treatment of slowly-time varying plasma states occurring in collisionless and magnetized axisymmetric plasmas. The phenomenology may…

Plasma Physics · Physics 2015-05-30 Claudio Cremaschini , Massimo Tessarotto

We consider the one-dimensional dynamics of nonlinear non-dispersive waves. The problem can be mapped onto a linear one by means of the hodograph transform. We propose an approximate scheme for solving the corresponding Euler-Poisson…

Pattern Formation and Solitons · Physics 2020-06-09 M. Isoard , N. Pavloff , A. M. Kamchatnov

A dispersion relation for a commonly used hybrid model of plasma physics is developed, which combines fully kinetic ions and a massless-electron fluid description. Although this model and variations of it have been used to describe plasma…

Plasma Physics · Physics 2022-03-30 Daniel Told , Tessa Cookmeyer , Patrick Astfalk , Frank Jenko

Starting from first principles quantum kinetic theory for ideal plasmas with exchange effects, the quantum hydrodynamic equations are derived taking moments of the corresponding exchange-Vlasov equation. The case of an electron-ion plasma…

Plasma Physics · Physics 2021-04-22 Fernando Haas

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

We extend an isothermal thermal model of ultracold neutral plasma expansion to systems without spherical symmetry, and use this model to interpret new fluorescence measurements on these plasmas. By assuming a self-similar expansion, it is…

Atomic Physics · Physics 2009-11-11 E. A. Cummings , J. E. Daily , D. S. Durfee , S. D. Bergeson

The strong influence of the electron dynamics provides the possibility of controlling the expansion of laser-produced plasmas by appropriately shaping the laser pulse. A simple irradiation scheme is proposed to tailor the explosion of large…

Plasma Physics · Physics 2009-11-13 F. Peano , J. L. Martins , R. A. Fonseca , L. O. Silva , G. Coppa , F. Peinetti , R. Mulas

When particle speeds are large the motion of a collisionless plasma is modeled by the relativistic Vlasov Maxwell system. Large time behavior of solutions which depend on one position variable and two momentum variables is considered. In…

Analysis of PDEs · Mathematics 2010-01-02 Robert Glassey , Stephen Pankavich , Jack Schaeffer

We investigate the dynamics of plasma-based acceleration processes with collisionless particle dynamics and non negligible thermal effects. We aim at assessing the applicability of fluid-like models, obtained by suitable closure assumptions…

The relaxation of a strongly coupled plasma towards the hydrodynamic regime is studied by analyzing the evolution of local and nonlocal observables in the holographic approach. The system is driven in an initial anisotropic and far-from…

High Energy Physics - Theory · Physics 2016-12-21 Loredana Bellantuono

We revisit the double adiabatic evolution equations and extend them to the relativistic and ultrarelativistic regimes. We analytically solve the relativistic, time-dependent drift kinetic equation for a homogeneous, magnetized,…

Plasma Physics · Physics 2026-03-27 Francisco Ley , Aaron Tran , Ellen G. Zweibel

In the first part we present a review of our results concerning the weakly nonlinear regime of the mirror instability in the framework of an asymptotic model. This model belongs to the class of gradient type systems for which the free…

Plasma Physics · Physics 2015-02-02 E. A. Kuznetsov , T. Passot , V. P. Ruban , P. L. Sulem

We are developing a model of vacuum arcs. This model assumes that arcs develop as a result of mechanical failure of the surface due to Coulomb explosions, followed by ionization of fragments by field emission and the development of a small,…

Plasma Physics · Physics 2010-06-21 Z. Insepov , J. Norem , T. Proslier , D. Huang , S. Mahalingam , S. Veitzer

Astrophysical plasmas in accretion discs are usually treated in the framework of fluid or MHD approaches but there are some situations where these treatments become inadequate and one needs to revert to the more fundamental underlying…

High Energy Astrophysical Phenomena · Physics 2012-01-10 C. Cremaschini , J. C. Miller , M. Tessarotto
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