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Related papers: Low-$n$ global ideal MHD instabilities in CFETR ba…

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The dynamics of large scale plasma instabilities can strongly be influenced by the mutual interaction with currents flowing in conducting vessel structures. Especially eddy currents caused by time-varying magnetic perturbations and halo…

Stability analyses for equilibria of the compressible reduced magnetohydrodynamics (CRMHD) model are carried out by means of the Energy-Casimir (EC) method. Stability results are compared with those obtained for ideal magnetohydrodynamics…

Plasma Physics · Physics 2015-06-15 Philip J. Morrison , Emanuele Tassi , Natalia Tronko

Especially in cold and high-density regions, the assumptions of ideal magnetohydrodynamics (MHD) can break down, making first order non-ideal terms such as Ohmic and ambipolar diffusion as well as the Hall effect important. In this study we…

Earth and Planetary Astrophysics · Physics 2023-07-25 Oliver Zier , Volker Springel , Alexander C. Mayer

Advanced tokamak regimes, featuring extended regions of low magnetic shear, are promising candidates for future fusion reactors but are also more prone to specific kinds of MHD instabilities. The proximity to a rational surface in a very…

Plasma Physics · Physics 2025-09-04 M. Coste-Sarguet , J. P. Graves

We present nonlinear magnetohydrodynamic (MHD) simulations of high-$\beta$ Wendelstein 7-X plasmas using the stellarator extension of the M3D-$C^1$ code, building on the recent work that shows benign saturation of ideal ballooning modes…

Plasma Physics · Physics 2026-03-17 Yao Zhou , K. Aleynikova , Chang Liu , N. M. Ferraro

In certain astrophysical systems the commonly employed ideal magnetohydrodynamics (MHD) approximation breaks down. Here, we introduce novel explicit and implicit numerical schemes of ohmic resistivity terms in the moving-mesh code AREPO. We…

Instrumentation and Methods for Astrophysics · Physics 2018-03-09 Federico Marinacci , Mark Vogelsberger , Rahul Kannan , Philip Mocz , Rüdiger Pakmor , Volker Springel

A comprehensive numerical study has been conducted in order to investigate the stability of beam-driven, sub-cyclotron frequency compressional (CAE) and global (GAE) Alfv\'en Eigenmodes in low aspect ratio plasmas for a wide range of beam…

Plasma Physics · Physics 2023-02-10 J. B. Lestz , E. V. Belova , N. N. Gorelenkov

Non-axisymmetric, flow-driven instabilities in the incompressible Hall-MHD model are studied in a differentially rotating cylindrical plasma. It is found that in the Hall-MHD regime, both whistler waves and ion-cyclotron waves can extract…

Plasma Physics · Physics 2026-04-16 Alexandre Sainterme , Fatima Ebrahimi

Reduced magnetohydrodynamic (MHD) equations are used to study the nonlinear dynamics of external kinks in a quasi-axisymmetric (QA) stellarator with varying fractions of external rotational transform. The large bootstrap currents associated…

Plasma Physics · Physics 2021-05-13 Rohan Ramasamy , Matthias Hoelzl , Erika Strumberger , Karl Lackner , Sibylle Günter

The ideal MHD equations are a central model in astrophysics, and their solution relies upon stable numerical schemes. We present an implementation of a new method, which possesses excellent stability properties. Numerical tests demonstrate…

Instrumentation and Methods for Astrophysics · Physics 2011-04-28 Knut Waagan , Christoph Federrath , Christian Klingenberg

A critical challenge for operating fusion burning plasma in high confinement mode lies in mitigating damage caused by edge localized modes (ELMs). While impurity seeding has been experimentally validated as a reliable and effective ELM…

Plasma Physics · Physics 2025-06-27 Shiyong Zeng , Ping Zhu

This note studies classical magnetohydrodynamic shock waves in an inviscid fluidic plasma that is assumed to be a perfect conductor of heat as well as of electricity. For this mathematically prototypical material, it identifies a critical…

Analysis of PDEs · Mathematics 2015-05-21 Heinrich Freistuhler , Felix Kleber , Johannes Schropp

A benchmark exercise for the modeling of vertical displacement events (VDEs) is presented and applied to the 3D nonlinear magneto-hydrodynamic codes M3D-C$^1$, JOREK and NIMROD. The simulations are based on a vertically unstable NSTX…

Plasma Physics · Physics 2020-02-19 I. Krebs , F. J. Artola , C. R. Sovinec , S. C. Jardin , K. J. Bunkers , M. Hoelzl , N. M. Ferraro

The stability of the ideal magnetohydrodynamic (MHD) interchange mode at marginal conditions is studied. A sufficiently strong constant magnetic field component transverse to the direction of mode symmetry provides the marginality…

Plasma Physics · Physics 2012-11-26 Jupiter Bagaipo , P. N. Guzdar , A. B. Hassam

We consider the linear axisymmetric stability of a differentially rotating collisionless plasma in the presence of a weak magnetic field; we restrict our analysis to wavelengths much larger than the proton Larmor radius. This is the kinetic…

Astrophysics · Physics 2009-11-07 Eliot Quataert , William Dorland , Greg Hammett

The core micro-instability characteristics of hybrid and baseline plasmas in a selected set of JET plasmas with carbon wall are investigated through local linear and non-linear and global linear gyro-kinetic simulations with the GYRO code…

We investigate the launching and stability of extragalactic jets through nonlinear magnetohydrodynamic (MHD) simulation and linear eigenmode analysis. In the simulations of jet evolution, a small-scale equilibrium magnetic arcade is twisted…

High Energy Astrophysical Phenomena · Physics 2011-02-11 C. S. Carey , C. R. Sovinec

This paper evaluates the feasibility of helicon current drive (HCD) in a hybrid scenario for the China Fusion Engineering Test Reactor (CFETR). Utilizing the GENRAY/CQL3D package, a large number of simulations (over 5 000) were conducted,…

Plasma Physics · Physics 2023-06-06 Xianshu Wu , Jingchun Li , Jiale Chen , Guosheng Xu , Jiaqi Dong , Zhanhui Wang , Aiping Sun , Wulv zhong

A unified energy principle approach is presented for analysing the magnetohydrodynamic (MHD) stability of plasmas consisting of multiple ideal and relaxed regions. By choosing an appropriate gauge, we show that the plasma displacement…

Plasma Physics · Physics 2015-05-13 R. L. Mills , M. J. Hole , R. L. Dewar

The linear stability of Alfv\'en eigenmodes in the presence of fusion-born alpha particles is thoroughly assessed for two variants of an ITER baseline scenario, which differ significantly in their core and pedestal temperatures. A…