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It is shown, using results of measurements of ion saturation current in the plasma edges of different magnetic fusion confinement devices (tokamaks and stellarators), that the plasma dynamics in the edges is dominated by distributed chaos…

Chaotic Dynamics · Physics 2016-04-05 A. Bershadskii

Turbulent transport is known to limit the plasma confinement of present-day optimized stellarators. To address this issue, a novel method to strongly suppress turbulence in such devices is proposed, namely the resonant wave-particle…

Plasma Physics · Physics 2020-09-09 Alessandro Di Siena , Alejandro Banon Navarro , Frank Jenko

Centrifugal confinement fusion, a promising alternative to toroidal confinement devices like tokamaks and stellarators, leverages supersonic plasma rotation within a magnetic mirror configuration to achieve simplified coil design,…

Plasma Physics · Physics 2024-12-04 Yi-Min Huang

We introduce a topology optimization method to design permanent magnets for advanced stellarators. Recent researches show that permanent magnets have great potentials to simplify stellarator coils. We adopt state-of-the-art numerical…

The first stellarator design was a simple tube of plasma twisted and closed on itself in the form of a figure-8. The line of such devices, however, was quickly ended over concerns related to plasma stability. We revisit the figure-8…

Plasma Physics · Physics 2025-02-11 G. G. Plunk , M. Drevlak , E. Rodriguez , R. Babin , A. Goodman , F. Hindenlang

Plasma flow is damped in stellarators because they are not intrinsically ambipolar, unlike tokamaks, in which the flux-surface averaged radial electric current vanishes for any value of the radial electric field. Only quasisymmetric…

Plasma Physics · Physics 2015-06-19 Ivan Calvo , Felix I. Parra , J. Arturo Alonso , J. L. Velasco

Topology optimization, a technique to determine where material should be placed within a predefined volume in order to minimize a physical objective, is used across a wide range of scientific fields and applications. A general application…

Plasma Physics · Physics 2023-06-23 Alan A. Kaptanoglu , Gabriel P. Langlois , Matt Landreman

We present a novel method for numerically finding quasi-isodynamic stellarator magnetic fields with excellent fast-particle confinement and extremely small neoclassical transport. The method works particularly well in configurations with…

A central issue in the design of tokamaks or stellarators is the coils that produce the external magnetic fields. The freedom that remains unstudied in the design of coils is enormous. This freedom could be quickly studied computationally…

Plasma Physics · Physics 2024-10-15 Allen H Boozer

Quasisymmetry and omnigeneity of an equilibrium magnetic field are two distinct properties proposed to ensure radial localization of collisionless trapped particles in any stellarator. These constraints are incompletely explored, but have…

Plasma Physics · Physics 2018-03-14 Wrick Sengupta , Harold Weitzner

As first shown by Shafranov, toroidal plasmas in magnetohydrodynamic equilibrium tend to expand in major radius when the pressure is increased. Here, an average measure of the resulting Shafranov shift is introduced, and its properties are…

Plasma Physics · Physics 2026-05-22 Per Helander , Nikita Nikulsin

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

Magnetic confinement devices for nuclear fusion can be large and expensive. Compact stellarators are promising candidates for costreduction, but introduce new difficulties: confinement in smaller volumes requires higher magnetic field,…

Optimization and Control · Mathematics 2022-07-13 Rémi Robin , Francesco Volpe

Optimised stellarators and other magnetic-confinement devices having the property that the average magnetic curvature is favourable for all particle orbits are called maximum-$J$ devices, and have recently been shown to be immune to…

Plasma Physics · Physics 2017-08-15 G. G. Plunk , J. W. Connor , P. Helander

Being three-dimensional, stellarators have the advantage that plasma currents are not essential for creating rotational-transform; however, the external current-carrying coils in stellarators can have strong geometrical shaping, which can…

Plasma Physics · Physics 2025-09-16 S. Guinchard , S. R. Hudson , E. J. Paul

We consider a problem relating to magnetic confinement devices known as stellarators. Plasma is confined by magnetic fields generated by current-carrying coils, and here we investigate how closely to the plasma they need to be positioned.…

Analysis of PDEs · Mathematics 2021-08-18 Adam J. Golab , James C. Robinson , José L. Rodrigo

We report experimental results validating the concept that plasma confinement is enhanced in a magnetic cusp configuration when beta (plasma pressure/magnetic field pressure) is order of unity. This enhancement is required for a fusion…

Tokamak plasmas are confined by a magnetic field that limits the particle and heat transport perpendicular to the field. Parallel to the field the ionised particles can move freely, so to obtain confinement the field lines are "closed" (ie.…

Plasma Physics · Physics 2017-11-17 Jarrod Leddy , Ben Dudson , Michele Romanelli , Brendan Shanahan , Nick Walkden

Combined plasma-coil optimization approaches for designing stellarators are discussed and a new method for calculating free-boundary equilibria is proposed. Four distinct categories of stellarator optimization, two of which are novel…

Plasma Physics · Physics 2021-05-12 Sophia A. Henneberg , Stuart R. Hudson , David Pfefferlé , Per Helander

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