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Feedback stabilization of magnetohydrodynamic (MHD) modes is studied in a cylindrical model for a tokamak with resistivity, viscosity and toroidal rotation. The control is based on a linear combination of the normal and tangential…

Plasma Physics · Physics 2014-06-23 D. P. Brennan , J. M. Finn

The global ideal kink equation, for cylindrical geometry and zero beta, is simplified in the high poloidal mode number limit and used to determine the tearing stability parameter, $\Delta^\prime$. In the presence of a steep monotonic…

Plasma Physics · Physics 2015-06-23 J. W. Connor , R. J. Hastie , I. Pusztai , P. J. Catto , M. Barnes

Configurations with nearby multiple resonant surfaces have broad spectra of linearly unstable coupled tearing modes with dominant high poloidal mode numbers m. This was recently shown for the case of multiple q = 1 resonances [Bierwage et…

Plasma Physics · Physics 2007-05-23 Andreas Bierwage , Sadruddin Benkadda , Satoshi Hamaguchi , Masahiro Wakatani

Numerical simulation on the resonant magnetic perturbation penetration is carried out by the newly-updated initial value code MDC (MHD@Dalian Code). Based on a set of two-fluid four-field equations, the bootstrap current, parallel and…

Plasma Physics · Physics 2026-04-29 Weikang Tang , Qibin Luan , Hongen Sun , Lai Wei , Shuangshuang Lu , Shuai Jiang , Jian Xu , Zhengxiong Wang

The nonlinear evolution of resistive double tearing modes (DTMs) with safety factor values q=1 and q=3 is studied in a reduced cylindrical model of a tokamak plasma. We focus on cases where the resonant surfaces are a small distance apart.…

Plasma Physics · Physics 2007-05-23 Andreas Bierwage , Sadruddin Benkadda , Satoshi Hamaguchi , Masahiro Wakatani

Many disruptions are caused by resistive wall tearing modes (RWTM). A database of DIII-D locked mode disruptions provides two main disruption criteria, which are shown to be signatures of RWTMs. The first is that the q = 2 rational surface…

Plasma Physics · Physics 2025-09-11 H. R. Strauss

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

Self-consistent equations for intrinsic rotation in tokamaks with small poloidal magnetic field $B_p$ compared to the total magnetic field $B$ are derived. The model gives the momentum redistribution due to turbulence, collisional transport…

Plasma Physics · Physics 2015-06-22 Felix I. Parra , Michael Barnes

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

Calculations of tearing mode stability in tokamaks split conveniently into an external region, where marginally stable ideal MHD is applicable, and a resonant layer around the rational surface where sophisticated kinetic physics is needed.…

Plasma Physics · Physics 2014-08-13 C J Ham , J W Connor , S C Cowley , R J Hastie , T C Hender , Y Q Liu

Starting from expressions in Connor et al. (1988) [1], we derive a one-dimensional tearing equation similar to the approximate equation obtained by Hegna and Callen (1984) [2] and by Nishimura et al (1998) [3], but for more realistic…

Plasma Physics · Physics 2018-06-21 J. W. Connor , R. J. Hastie , C. Marchetto , C. M. Roach

The equilibrium of an axisymmetric magnetically confined plasma with anisotropic resistivity and toroidal flow is investigated in the framework of magnetohydrodynamics (MHD). The stationary states are determined by an elliptic differential…

Plasma Physics · Physics 2015-06-26 G. Poulipoulis , G. N. Throumoulopoulos , H. Tasso

The effects of resonant magnetic perturbations on the turbulent transport of fast ions in tokamak devices are investigated using a theoretical transport model of test-particle type. The direct numerical simulation method is used to compute,…

Plasma Physics · Physics 2024-06-19 D. I. Palade

High-power-density tokamaks offer a potential solution to design cost-effective fusion devices. One way to achieve high power density is to operate at a high $\beta$ value (the ratio of thermal to magnetic pressure), i.e., $\beta \sim 1$.…

Plasma Physics · Physics 2023-03-15 Rahul Gaur , Ian G. Abel , David Dickinson , William D. Dorland

Locked modes are precursors to major disruptions. During locked modes, the temperature decreases in the plasma edge region. This causes the current to contract. A model is given to analyze the MHD stability of contracted current equilibria.…

Plasma Physics · Physics 2023-04-18 H. R. Strauss

In the first part to this paper\cite{part1} it was shown how a simple Magnetohydrodynamic model could be used to determine the stability of a Tokamak plasma's edge to a Peeling (External Kink) mode. Stability was found to be determined by…

Plasma Physics · Physics 2009-02-23 A. J. Webster

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

The application of resonant magnetic perturbations (RMPs) with a toroidal mode number of n=3 to connected double null plasmas in the MAST tokamak produces up to a factor of 9 increase in Edge Localized Mode (ELM) frequency and reduction in…

Plasma Physics · Physics 2014-02-28 A. Kirk , Yueqiang Liu , I. T. Chapman , J. Harrison , E. Nardon , R. Scannell , A. J. Thornton , the MAST team

Transport-barrier relaxation oscillations in the presence of resonant magnetic perturbations are investigated using three-dimensional global fluid turbulence simulations from first principles at the edge of a tokamak. It is shown that…

Plasma Physics · Physics 2009-11-13 M. Leconte , P. Beyer , X. Garbet , S. Benkadda

Effects of reversed magnetic shear on the plasma rotation stabilization of resistive wall modes in tokamaks are investigated using the AEGIS code. MHD equilibria in toroidal configuration from circular cross-sections to realistic CFETR-like…

Plasma Physics · Physics 2025-09-03 Sui Wan , Ping Zhu , Linjin Zheng
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