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The high confinement mode (H-mode), the most important operation mode for the nuclear fusion reactor, has been studied for 42 years, but the transition mechanism has not been unanimously agreed so far. Four decades of H-mode experiments…

Plasma Physics · Physics 2024-06-06 Kwan Chul Lee

The goal of this paper is to understand from a mathematical point of view the magnetic confinement of plasmas for fusion. Following Fr\'enod and Sonnendr\"ucker \cite{FS2}, we first use two-scale convergence tools to derive a gyrokinetic…

Analysis of PDEs · Mathematics 2010-07-20 Daniel Han-Kwan

Recent advances in high-temperature-superconductor technology have made substantially higher toroidal magnetic fields technologically accessible, reopening the design space for compact, high-field tokamak reactors. Because reactor…

Plasma Physics · Physics 2026-04-27 Jalal Butt , Geert Verdoolaege , Stanley M. Kaye , Egemen Kolemen

The results of flux-driven, two-fluid simulations in single-null configurations are used to investigate the processes determining the turbulent transport in the tokamak edge. Three turbulent transport regimes are identified: (i) a developed…

Plasma Physics · Physics 2020-09-23 Maurizio Giacomin , Paolo Ricci

It is shown that rapid substantial changes in heating rate can induce transitions to improved energy confinement regimes in zero-dimensional models for tokamak plasma phenomenology. We examine for the first time the effect of step changes…

Plasma Physics · Physics 2014-06-19 H. Zhu , S. C. Chapman , R. O. Dendy , K. Itoh

The design of commercially feasible magnetic confinement fusion reactors strongly relies on the reduced turbulent transport in the plasma edge during operation in the high confinement mode (H-mode). We present first global turbulence…

During a tokamak discharge, the plasma can vary between different confinement regimes: Low (L), High (H) and, in some cases, a temporary (intermediate state), called Dithering (D). In addition, while the plasma is in H mode, Edge Localized…

Data Analysis, Statistics and Probability · Physics 2020-04-15 F. Matos , V. Menkovski , F. Felici , A. Pau , F. Jenko

Full-f global gyrokinetic simulations of the plasma boundary have until now required heroic computational efforts and case-by-case expert intervention, precluding systematic parameter scans. Here we demonstrate a paradigm shift: hundreds of…

Plasma Physics · Physics 2026-05-18 A. C. D. Hoffmann , M. Francisquez , T. N. Bernard , G. W. Hammett , A. Hakim

Energy transport and confinement in tokamak fusion plasmas is usually determined by the coupled nonlinear interactions of small-scale drift turbulence and larger scale coherent nonlinear structures, such as zonal flows, together with free…

Plasma Physics · Physics 2014-06-19 H. Zhu , S. C. Chapman , R. O. Dendy

The physical mechanism underlying the L--H transition in tokamaks has remained an open problem for over forty years. We present three-dimensional flux-driven two-fluid simulations in a diverted geometry that exhibit a confinement transition…

Plasma Physics · Physics 2026-05-06 Brenno De Lucca , Paolo Ricci , Benoit Labit , Davide Mancini , Louis Stenger , Zeno Tecchiolli

Spontaneous transport barrier generation at the edge of a magnetically confined plasma is investigated. To this end, a model of electrostatic turbulence in three-dimensional geometry is extended to account for the impact of friction between…

The confinement of heat in the core of a magnetic fusion reactor is optimised using a multidimensional optimisation algorithm. For the first time in such a study, the loss of heat due to turbulence is modelled at every stage using…

Plasma Physics · Physics 2018-10-24 E. G. Highcock , N. R. Mandell , M. Barnes , W. Dorland

This work presents the first analysis of the disruptive locked mode (LM) triggered by the dynamics of a confinement change. It shows that, under certain conditions, the LM threshold during the transient is significantly lower than expected…

The energy production through thermo-nuclear fusion requires the confinement of the plasma into a bounded domain. In most of the cases, such configurations are obtained by using strong magnetic fields. Several models exist for describing…

Analysis of PDEs · Mathematics 2012-07-11 Mihai Bostan

I-mode is a promising regime for future fusion reactors due to the high energy confinement and the moderate particle confinement. However, the effect of lithium, which has been widely applied for particle recycling and impurity control, on…

By analyzing large quantities of discharges in the unfavorable ion $ \vec B\times \nabla B $ drift direction, the I-mode operation has been confirmed in EAST tokamak. During the L-mode to I-mode transition, the energy confinement has a…

The edge density and temperature of tokamak plasmas are strongly correlated with energy and particle confinement and their quantification is fundamental to understanding edge dynamics. These quantities exhibit behaviours ranging from sharp…

Plasma Physics · Physics 2022-01-05 Abhilash Mathews , Jerry Hughes

Two dynamical models that have been proposed to describe transitions between low and high confinement states (L-H transitions) in confined plasmas are analysed using singularity theory and stability theory. It is shown that the…

Mathematical Physics · Physics 2009-10-31 R. Ball , R. L. Dewar

The paper suggests certain regimes of fusion plasma with magnetic confinement, when the Larmor radius $\lambda$ and the angle $\alpha$ (determining the orientation of the local coordinates) form an analytic function $w=\lambda e^{i\alpha}$…

Plasma Physics · Physics 2022-12-14 Alexander M. Balk

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
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