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The system of equations of electromagnetic self-consistency in a plasma is analytically solved for the case of a two-component homogeneous plasma in the non-relativistic approximation.

Plasma Physics · Physics 2007-05-23 Evangelos Chaliasos

I review recent analytical and numerical advances in the study of non-equilibrium quark-gluon plasma physics. I concentrate on studies of the dynamics of plasmas which are locally anisotropic in momentum space. In contrast to locally…

High Energy Physics - Phenomenology · Physics 2008-11-26 Michael Strickland

We construct a model for the turbulence near the X-point of a Tokamak device and, under suitable assumptions, we arrive to a closed equation for the electric field potential fluctuations. The analytical and numerical analysis is focused on…

Plasma Physics · Physics 2022-05-06 Giovanni Montani , Nakia Carlevaro , Brunello Tirozzi

Plasma shape control in tokamaks requires a real-time controller that tracks dynamically changing shape targets while tolerating diagnostic failures. Classical approaches decompose the problem into equilibrium reconstruction followed by a…

An efficient numerical scheme for solving transport equations for tokamak plasmas within an integrated modelling framework is presented. The plasma transport equations are formulated as diffusion-advection equations in two coordinates (a…

Computational Physics · Physics 2024-06-17 Andrei Ludvig-Osipov , Dmytro Yadykin , Pär Strand

Astrophysical plasmas in the surrounding of compact objects and subject to intense gravitational and electromagnetic fields are believed to give rise to relativistic regimes. Theoretical and observational evidence suggest that magnetized…

Plasma Physics · Physics 2023-06-22 Claudio Cremaschini , Massimo Tessarotto , Zdeněk Stuchlík

Stochasticity is one of the most extensively researched topics in laboratory and space plasmas since it has been successful in explaining the various anomalous processes like transport, particle heating, particle loss etc. Since there is a…

Plasma Physics · Physics 2007-11-27 Ramesh Narayanan , Md. Nurujjaman , A. N. Sekar Iyengar

Nonlinear electromagnetic stabilization by suprathermal pressure gradients found in specific regimes is shown to be a key factor in reducing tokamak microturbulence, augmenting significantly the thermal pressure electromagnetic…

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

Nuclear fusion represents one of the best alternatives for a sustainable source of clean energy. Tokamaks allow to confine fusion plasma with magnetic fields and one of the main challenges in the control of the magnetic configuration is the…

Plasma Physics · Physics 2023-04-19 Chenguang Wan , Zhi Yu , Alessandro Pau , Xiaojuan Liu , Jiangang Li

The problem of calculation of the reflectivity of non-ideal shock-compressed plasmas is revisited. The dielectric formalism based on the method of moments incorporating exact asymptotic forms and sum rules is applied to the new experimental…

Plasma Physics · Physics 2007-05-23 D. Ballester , A. M. Fuentes , I. M. Tkachenko

Plasma equilibria reconstructed from the Mega-Amp Spherical Tokamak (MAST) have sufficient resolution to capture plasma evolution during the short period between edge-localized modes (ELMs). Immediately after the ELM steep gradients in…

Plasma Physics · Physics 2013-06-18 D. Dickinson , C. M. Roach , S. Saarelma , R. Scannell , A. Kirk , H. R. Wilson

In this paper we provide sharp criteria for linear stability or instability of equilibria of collisionless plasmas in the presence of boundaries. Specifically, we consider the relativistic Vlasov-Maxwell system with specular reflection at…

Analysis of PDEs · Mathematics 2011-12-21 Toan Nguyen , Walter A. Strauss

In this article, we are concerned with the analysis on the numerical reconstruction of the spatial component in the source term of a time-fractional diffusion equation. This ill-posed problem is solved through a stabilized nonlinear…

Numerical Analysis · Mathematics 2020-05-06 Daijun Jiang , Yikan Liu , Dongling Wang

A discontinuous Galerkin method for approximating the Vlasov-Poisson system of equations describing the time evolution of a collisionless plasma is proposed. The method is mass conservative and, in the case that piecewise constant functions…

Plasma Physics · Physics 2011-10-04 R. E. Heath , I. M. Gamba , P. J. Morrison , C. Michler

Tokamak turbulence, driven by the ion-temperature gradient and occurring in the presence of flow shear, is investigated by means of local, ion-scale, electrostatic gyrokinetic simulations (with both kinetic ions and electrons) of the…

Plasma Physics · Physics 2017-01-10 F. van Wyk , E. G. Highcock , A. A. Schekochihin , C. M. Roach , A. R. Field , W. Dorland

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

The relaxation of magnetically confined plasmas in a toroidal geometry is analyzed. From the equations for the Hermitian moments, we show how the system relaxes towards the mechanical equilibrium. In the space of the parallel generalized…

Statistical Mechanics · Physics 2011-05-03 Giorgio Sonnino

We consider the periodic problem for two-fluid non-isentropic Euler-Maxwell systems in plasmas. By means of suitable choices of symmetrizers and an induction argument on the order of the time-space derivatives of solutions in energy…

Analysis of PDEs · Mathematics 2018-08-15 Yue-Hong Feng , Xin Li , Shu Wang

We address the existence of stationary solutions of the Vlasov-Poisson system on a domain $\Omega\subset\mathbb{R}^3$ describing a high-temperature plasma which due to the influence of an external magnetic field is spatially confined to a…

Analysis of PDEs · Mathematics 2021-05-25 Yulia O. Belyaeva , Björn Gebhard , Alexander L. Skubachevskii
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