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Related papers: Computing Flux-Surface Shapes in Tokamaks and Stel…

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Stellarators are fusion energy devices that confine a plasma using non-axisymmetric magnetic fields. Complex coils with tight construction tolerances are needed to create such fields. To simplify such coils, we use a method here to create…

Plasma Physics · Physics 2025-05-13 J. Biu , R. Jorge

It is shown that the magnetic-field coils of a stellarator can, at least in principle, be substantially simplified by the use of permanent magnets. Such magnets cannot create toroidal magnetic flux but they can be used to shape the plasma…

Plasma Physics · Physics 2020-03-11 P. Helander , M. Drevlak , M. Zarnstorff , S. C. Cowley

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

This paper studies the nonlinear evolution of magnetic field turbulence in proximity of steady ideal MHD configurations characterized by a small electric current, a small plasma flow, and approximate flux surfaces, a physical setting that…

Plasma Physics · Physics 2024-09-12 Naoki Sato , Michio Yamada

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

Quasi-axisymmetric stellarators are the stellarator analogue of the axisymmetric tokamak, retaining many of its favorable confinement properties, its compacity and its relative coil simplicity, while avoiding its principal limitation, the…

Plasma Physics · Physics 2026-03-23 J. L. Velasco , I. Calvo , J. M. García-Regaña

Breaking the up-down symmetry of tokamaks removes a constraint limiting intrinsic momentum transport, and hence toroidal rotation, to be small. Using gyrokinetic theory, we study the effect of different up-down asymmetric flux surface…

Plasma Physics · Physics 2016-04-15 Justin Ball , Felix I. Parra

We describe a three-dimensional, Godunov-type numerical magnetohydrodynamics (MHD) method designed for studying disk accretion to a rotating magnetized star in the general case where the star's rotation axis, its magnetic moment, and the…

Astrophysics · Physics 2009-11-07 A. V. Koldoba , M. M. Romanova , G. V. Ustyugova , R. V. E. Lovelace

We carry out expansions of non-symmetric toroidal ideal magnetohydrodynamic (MHD) equilibria with nested flux surfaces about a periodic cylinder, in which physical quantities are periodic of period $2\pi$ in the cylindrical angle $\theta$…

Plasma Physics · Physics 2019-02-27 Erin Jaquiery , Wrick Sengupta

Stellarators commonly comprise different sets of coils to produce diverse magnetic configurations. However, the diversity of possible configurations in a single device is usually rather limited. The achievement of a broad variety of…

Plasma Physics · Physics 2017-09-07 Vicente Queral

Recent developments in the design of magnetic confinement fusion devices have allowed the construction of exceptionally optimized stellarator configurations. The near-axis expansion in particular has proven to enable the construction of…

Plasma Physics · Physics 2024-04-16 P. A. Figueiredo , R. Jorge , J. Ferreira , P. Rodrigues

A Converse KAM method for 3D vector fields, establishing regions through which pass no invariant 2-tori transverse to a given direction field, is tested on some helical perturbations of an axisymmetric magnetic field in toroidal geometry.…

Plasma Physics · Physics 2023-07-07 Nikos Kallinikos , Robert S. MacKay , David Martinez-del-Rio

It is shown that small externally applied magnetic perturbations can significantly alter important geometric properties of magnetic flux surfaces in tokamaks. Through 3D shaping, experimentally relevant perturbation levels are large enough…

Plasma Physics · Physics 2015-06-22 Thomas M Bird , Chris C Hegna

The phase-space Lagrangian model of Dewar et al. (Phys. Plasmas 27, 062507, 2020) provides a framework for incorporating cross-field flow into relaxed equilibria while retaining ideal magnetohydrodynamics force balance. Here, we…

Plasma Physics · Physics 2026-04-07 Arash Tavassoli , Stuart R. Hudson , Zhisong Qu , Matthew Hole

The normal field instability in magnetic liquids is investigated experimentally by means of a radioscopic technique which allows a precise measurement of the surface topography. The dependence of the topography on the magnetic field is…

Pattern Formation and Solitons · Physics 2015-06-26 C. Gollwitzer , G. Matthies , R. Richter , I. Rehberg , L. Tobiska

We apply topological methods to better understand how the magnetic field in the stellarator edge can be diverted away from the confined region. Our primary method is calculating the winding numbers of closed contours, which gives…

In three dimensional toroidal domains without symmetry, the standard magnetohydrodynamic (MHD) equilibrium model used for magnetic confinement fusion does not generally support smooth solutions. Instead, solutions have singular plasma…

Plasma Physics · Physics 2026-04-13 Maximilian Ruth , Joshua W. Burby , Wrick Sengupta , Andrew Brown

Ballooning mode saturation is investigated in realistic stellarator configurations using the flux tube approach of Ham et. al. [1] [2]. The method is adapted to account for the lack of exact force balance in stellarator equilibrium solvers…

Plasma Physics · Physics 2026-02-23 X. Chu , S. C. Cowley , N. Ferraro , Y. Zhou , F. I. Parra

Spherical models of collisionless but quasi-relaxed stellar systems have long been studied as a natural framework for the description of globular clusters. Here we consider the construction of self-consistent models under the same physical…

Astrophysics · Physics 2009-11-13 G. Bertin , A. L. Varri

We have computed models of rotating relativistic stars with a toroidal magnetic field and investigated the combined effects of magnetic field and rotation on the apparent shape (i.e. the surface deformation), which could be relevant for the…

General Relativity and Quantum Cosmology · Physics 2014-02-14 Joachim Frieben , Luciano Rezzolla