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In this paper, we present the analytical and numerical study of the optimization approach for determining the space-dependent source function in the parabolic inverse source problem using partial boundary measurements. The Lagrangian…

数值分析 · 数学 2025-04-23 T. Sharma , L. Beilina , K. Sakthivel

The theory of plasma physics offers a number of nontrivial examples of partial differential equations, which can be successfully treated with symmetry methods. We propose the Grad-Shafranov equation which may illustrate the reciprocal…

偏微分方程分析 · 数学 2017-01-24 Mehdi Nadjafikhah , Parastoo Kabi-Nejad

Accurate and rapid simulation of the free boundary tokamak plasma equilibrium evolution is essential for modern plasma control, stability analysis, and scenario development. This paper presents the Free-Boundary Grad-Shafranov Evolutive…

We construct smooth, non-symmetric plasma equilibria which possess closed, nested flux surfaces and solve the magnetohydrostatic (steady three-dimensional incompressible Euler) equations with a small force. The solutions are also `nearly'…

偏微分方程分析 · 数学 2021-02-17 Peter Constantin , Theodore D. Drivas , Daniel Ginsberg

Plasma instabilities are a major concern in plasma science, for applications ranging from particle accelerators to nuclear fusion reactors. In this work, we consider the possibility of controlling such instabilities by adding an external…

等离子体物理 · 物理学 2025-02-25 Lukas Einkemmer , Qin Li , Clément Mouhot , Yukun Yue

We study the free boundary problem for a plasma-vacuum interface in ideal incompressible magnetohydrodynamics. Unlike the classical statement when the vacuum magnetic field obeys the div-curl system of pre-Maxwell dynamics, to better…

偏微分方程分析 · 数学 2020-07-15 Alessandro Morando , Paolo Secchi , Yuri Trakhinin , Paola Trebeschi

Goal of this paper is to investigate several numerical schemes for the resolution of two anisotropic Vlasov equations. These two toy-models arise from a kinetic description of a tokamak plasma confined by strong magnetic fields. The…

数值分析 · 数学 2017-08-10 Baptiste Fedele , Claudia Negulescu

The key basis for tokamak plasma disruption modeling is to understand how currents flow to the plasma facing surfaces during plasma disruption events. In ITER tokamak, the occurrence of a limited number of major disruptions will…

等离子体物理 · 物理学 2022-01-26 Cǎlin V. Atanasiu , Leonid E. Zakharov , Karl Lackner , Matthias Hoelzl

Based on the analysis of a large number of high-fidelity nonlinear gyrokinetic simulations, we propose a novel strategy to improve confinement in spherical tokamak plasmas by combining up-down asymmetric flux surface shaping with the Low…

Astrophysical shocks or bursts from a photoionizing source can disturb the typical collisional plasma found in galactic interstellar media or the intergalactic medium. The spectrum emitted by this plasma contains diagnostics that have been…

高能天体物理现象 · 物理学 2015-05-19 Randall K. Smith , John P. Hughes

Motivated by the precedent study of Ordenes-Huanca and Velazquez [JSTAT \textbf{093303} (2016)], we address the study of a simple model of a pure non-neutral plasma: a system of identical non-relativistic charged particles confined under an…

统计力学 · 物理学 2020-07-07 B. F. I. Espinoza-Lozano , F. A. Calderón , L. Velazquez

A new version of GBS (Ricci et al. Plasma Phys. Control. Fusion 54, 124047, 2012; Halpern et al. J. Comput. Phys. 315, 388-408, 2016; Paruta et al. Phys. Plasmas 25, 112301, 2018) is described. GBS is a three-dimensional, flux-driven,…

等离子体物理 · 物理学 2022-05-16 M. Giacomin , P. Ricci , A. Coroado , G. Fourestey , D. Galassi , E. Lanti , D. Mancini , N. Richart , L. N. Stenger , N. Varini

A procedure that allows study of unstable stability of a boundary layer between plasma and a magnetic field has been developed. Layer equilibrium for one reason or another is not set but follows from strict solution of kinetic equation with…

等离子体物理 · 物理学 2010-05-25 V. V. Lyahov , V. M. Neshchadim

This thesis is devoted to studying aspects of real-time nonequilibrium dynamics in quantum field theory by implementing an initial value formulation of quantum field theory. The main focus is on the linear relaxation of mean fields and…

高能物理 - 唯象学 · 物理学 2007-05-23 Shang-Yung Wang

Recent gyrokinetic stability calculations have revealed that the spherical tokamak is susceptible to tearing parity instabilities with length scales of a few ion Larmor radii perpendicular to the magnetic field lines. Here we investigate…

等离子体物理 · 物理学 2012-05-15 D J Applegate , C M Roach , J W Connor , S C Cowley , W Dorland , R J Hastie , N. Joiner

A general approach for deriving the expression of reference (density of) distribution functions, F^0, by statistical thermodynamics and the definition of local equilibrium conditions is illustrated. This procedure may be adopted for a…

We consider the linear stability problem for a 3D cylindrically symmetric equilibrium of the relativistic Vlasov-Maxwell system that describes a collisionless plasma. For an equilibrium whose distribution function decreases monotonically…

等离子体物理 · 物理学 2009-11-13 Zhiwu Lin , Walter Strauss

Available energy (\AE{}), which quantifies the maximum amount of thermal energy that may be liberated and converted into instabilities and turbulence, has shown to be a useful metric for predicting saturated energy fluxes in…

等离子体物理 · 物理学 2023-10-25 R. J. J. Mackenbach , J. H. E. Proll , G. Snoep , P. Helander

In magnetic confinement fusion devices like tokamaks, it is crucial to confine the high energy fusion-born helium nuclei ($\alpha$-particles) to maintain the energy equilibrium of the plasma. However, energetic ions can excite various…

等离子体物理 · 物理学 2015-06-18 László Horváth

The problem of the calculation of equilibrium thermodynamic properties and the establishment of statistical-thermodynamically-consistent finite bound-state partition functions in nonideal multi-component plasma systems is revised within the…

等离子体物理 · 物理学 2015-05-20 Mofreh R. Zaghloul