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Designing economical magnetic confinement fusion power plants motivates computational tools that can estimate plasma behavior from engineering parameters without direct reliance on experimental measurement of the plasma profiles. In this…

Disruptions are a serious issue in tokamaks. In a disruption, the thermal energy is lost by means of an instability which could be a resistive wall tearing mode (RWTM). During precursors to a disruption, the plasma edge region cools,…

Plasma Physics · Physics 2023-08-16 H. R. Strauss

Previous stability analysis of NSTX equilibrium with lithium-conditioning demonstrates that the enhanced resistivity due to the increased effective charge number Zeff (i.e. increased impurity level) can provide a stabilizing effect on low-n…

Plasma Physics · Physics 2020-03-18 Xin Lin , Debabrata Banerjee , Ping Zhu , Guosheng Xu , Yang Ye , Yifeng Wang , Qing Zang , Tao Zhang , Yingjie Chen

A challenging and fundamental research problem is the better understanding and control of the turbulent transport of heat in present-day tokamak fusion experiments. Recent developments in numerical methods along with enormous gains in…

Plasma Physics · Physics 2008-02-03 Jeremy Kepner , Scott Parker , Viktor Decyk

This study extends the functional perturbation theory~(FPT) of dynamical systems, which was initially developed for investigating the shifts of magnetic field line trajectories within the chaotic edge region of plasma when subjected to…

Chaotic Dynamics · Physics 2024-11-26 Wenyin Wei , Jiankun Hua , Alexander Knieps , Yunfeng Liang

Reliable confinement and stable performance of tokamak fusion plasmas require accurate real-time magnetic shape control. A promising route to reduced latency and increased flexibility in plasma control systems (PCS) is to emulate…

Plasma Physics · Physics 2026-04-02 K. Pentland , A. Ross , N. C. Amorisco , P. Cavestany , T. Nunn , A. Agnello , G. K. Holt , C. Vincent

The prediction of perturbed equilibrium models for tokamaks with small 3D fields is strongly dependent on which reference frame for axisymmetry is assumed - for example, the toroidal field (TF) coil vs the poloidal field (PF) coil centroid.…

Plasma Physics · Physics 2025-09-29 J. Halpern , N. C. Logan , E. Paul , C. Paz-Soldan

Magnetic islands play a crucial role in regulating plasma confinement in tokamaks by interacting with micro-instabilities, such as the ion temperature gradient (ITG) mode. This work presents a detailed investigation of the effects of static…

In this paper we study the linear stability of relative equilibria in the Newtonian $n$-body problem from the viewpoint of electromagnetic systems. We first examine the effect of the ambient dimension on stability, starting from the…

Dynamical Systems · Mathematics 2026-04-10 Luca Asselle , Giorgia Testolina

Bulk toroidal rotation has proven capable of stabilising both dangerous MHD modes and turbulence. In this thesis, we explore a method to drive rotation in large tokamaks: up-down asymmetry in the magnetic equilibrium. We seek to maximise…

Plasma Physics · Physics 2016-11-24 Justin Ball

Breaking the up-down symmetry of the tokamak poloidal cross-section can significantly increase the spontaneous rotation due to turbulent momentum transport. In this work, we optimize the shape of flux surfaces with both tilted elongation…

Plasma Physics · Physics 2017-11-15 Justin Ball , Felix I. Parra , Matt Landreman , Michael Barnes

The problem of equilibrium of a plasma in a Tokamak is a free boundary problemdescribed by the Grad-Shafranov equation in axisymmetric configurations. The right hand side of this equation is a non linear source, which represents the…

Numerical Analysis · Mathematics 2009-09-10 Jacques Blum , Cédric Boulbe , Blaise Faugeras

Effects of neoclassical toroidal viscosity (NTV) on plasma flow evolution in the presence of resonant magnetic perturbation (RMP) in a tokamak have been evaluated using a cylindrical theory model. Calculations show that the introduction of…

Plasma Physics · Physics 2026-03-05 Fangyuan Ma , Ping Zhu , Jiaxing Liu

Nonlinear local and global gyrokinetic simulations of tokamak plasmas demonstrate that turbulence-generated currents flatten the safety factor profile near low-order rational surfaces when magnetic shear is low, even when the plasma $\beta$…

Plasma Physics · Physics 2025-02-10 Arnas Volčokas , Justin Ball , Giovanni Di Giannatale , Stephan Brunner

Turbulent transport driven by trapped electron modes (TEMs) is believed to drive significant heat and particle transport in quasihelically symmetric stellarators. Two three-dimensionally-shaped magnetic configurations with suppressed…

Plasma Physics · Physics 2024-12-30 J. M. Duff , B. J. Faber , C. C. Hegna , M. J. Pueschel , P. W. Terry

We have used the local-$\delta{f}$ gyrokinetic code GS2 to perform studies of the effect of flux-surface shaping on two highly-shaped, low- and high-$\beta$ JT-60SA-relevant equilibria, including a successful benchmark with the GKV code. We…

Plasma Physics · Physics 2020-12-07 O. Beeke , M. Barnes , M. Romanelli , M. Nakata , M. Yoshida

The Tokamak device is the most promising candidate for producing sustainable electric power by nuclear fusion. It is a torus-shaped device that confines plasma by a strong magnetic field. The development, design and control of the design…

Plasma Physics · Physics 2022-11-17 M. Holst , V. Kungurtsev , S. Mukherjee

In the present work we focus on the case of (few-site) configurations respecting the PT-symmetry. We examine the case of such "oligomers" with not only 2-sites, as in earlier works, but also the cases of 3- and 4-sites. While in the former…

Pattern Formation and Solitons · Physics 2015-03-18 K. Li , P. G. Kevrekidis

The real-time reconstruction of the plasma magnetic equilibrium in a Tokamak is a key point to access high performance regimes. Indeed, the shape of the plasma current density profile is a direct output of the reconstruction and has a…

Numerical Analysis · Mathematics 2016-11-27 Didier Mazon , Jacques Blum , Cédric Boulbe , Blaise Faugeras , A. Boboc , M. Brix , P. De Vries , S. Sharapov , L. Zabeo

One of the most common designs for magnetic control in tokamaks is to ``linearize an equilibrium'' to obtain a sensitivity mapping, then invert this mapping in order to determine the feedback control currents or voltages. For this work, we…

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