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Optimized stellarator configurations and their analytical properties are obtained using a near-axis expansion approach. Such configurations are associated with good confinement as the guiding center particle trajectories and neoclassical…

Plasma Physics · Physics 2020-08-26 R. Jorge , W. Sengupta , M. Landreman

The new class of compact quasi-axisymmetric stellarators with a wide range of field periods offers the unique potential to combine the advantages of the two leading magnetic confinement fusion devices, tokamaks and stellarators. Here we…

Plasma Physics · Physics 2024-09-04 Tobias M. Schuett , Sophia A. Henneberg

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

It is shown that in perfectly quasi-isodynamic stellarators, trapped particles with a bounce frequency much higher than the frequency of the instability are stabilizing in the electrostatic and collisionless limit. The collisionless…

Plasma Physics · Physics 2015-09-15 J. H. E. Proll , P. Helander , J. W. Connor , G. G. Plunk

The usage of permanent magnets to shape the confining magnetic field of a stellarator has the potential to reduce or eliminate the need for non-planar coils. As a proof-of-concept for this idea, we have developed a procedure for designing…

Plasma Physics · Physics 2022-11-17 K. C. Hammond , C. Zhu , K. Corrigan , D. A. Gates , R. Lown , R. Mercurio , T. M. Qian , M. C. Zarnstorff

We explore the structure of the space of quasisymmetric configurations identifying them by their magnetic axes, described as 3D closed curves. We demonstrate that this topological perspective divides the space of all configurations into…

Plasma Physics · Physics 2022-09-14 Eduardo Rodriguez , Wrick Sengupta , Amitava Bhattacharjee

Until now, quasi-isodynamic magnetic fields have been the only known stellarator configurations that, at low collisionality, give small radial neoclassical transport and zero bootstrap current for arbitrary plasma profiles, the latter…

Plasma Physics · Physics 2025-08-07 Ivan Calvo , Jose Luis Velasco , Per Helander , Felix I. Parra

We introduce an application of the Quasi-Gasdynamic method for a solution of ideal magnetohydrodynamic equations in the modeling of compressible conductive gas flows. A time-averaging procedure is applied for all physical parameters in…

Mathematical Physics · Physics 2013-05-24 M. V. Popov , T. G. Elizarova , S. D. Ustyugov

Optimising stellarators for quasisymmetry leads to strongly reduced collisional transport and energetic particle losses compared to unoptimised configurations. Though stellarators with precise quasisymmetry have been obtained in the past,…

It is demonstrated that finite-pressure, approximately quasi-axisymmetric stellarator equilibria can be directly constructed (without numerical optimization) via perturbations of given axisymmetric equilibria. The size of such perturbations…

Plasma Physics · Physics 2022-06-22 G. G. Plunk

A method is demonstrated to optimize a stellarator's geometry to eliminate magnetic islands and achieve other desired physics properties at the same time. For many physics quantities that have been used in stellarator optimization,…

Plasma Physics · Physics 2021-09-22 Matt Landreman , Bharat Medasani , Caoxiang Zhu

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

Advanced stellarators are typically optimized in two stages. The plasma equilibrium is optimized first, followed by the design of coils/permanent magnets. However, the coils/permanent magnets in the second stage may become too complex to…

Plasma Physics · Physics 2024-05-01 Guodong Yu , Ke Liu , Tianyi Qian , Yidong Xie , Xianyi Nie , Caoxiang Zhu

Integrating turbulence into stellarator optimization is shown by targeting the onset for the ion-temperature-gradient mode, highlighting effects of parallel connection length, local magnetic shear, and flux surface expansion. The result is…

Microinstabilities exhibit a rich variety of behavior in stellarators due to the many degrees of freedom in the magnetic geometry. It has recently been found that certain stellarators (quasi-isodynamic ones with maximum-$J$ geometry) are…

Plasma Physics · Physics 2015-06-17 J. H. E. Proll , P. Xanthopoulos , P. Helander

There is currently no agreed-upon methodology for characterizing a stellarator magnetic field geometry, and yet modern stellarator designs routinely attain high levels of magnetic-field quasi-symmetry through careful flux-surface shaping.…

Plasma Physics · Physics 2026-01-01 M. J. Gerard , M. J. Pueschel , S. Stewart , H. O. M. Hillebrecht , B. Geiger

Piecewise omnigenous fields are stellarator magnetic fields that are optimized with respect to radial neoclassical transport thanks to a second adiabatic invariant that is piecewisely constant on the flux-surface. They are qualitatively…

Plasma Physics · Physics 2024-12-20 J. L. Velasco , E. Sánchez , I. Calvo

Despite significant advances in reducing turbulent heat losses, modern quasi-isodynamic (QI) stellarators -- such as Stellaris -- continue to suffer from poor particle confinement, which fundamentally limits their overall performance. Using…

Plasma Physics · Physics 2025-07-29 A. Bañón Navarro , A. Di Siena , F. Jenko , A. Merlo , E. Laude

Stellarators confine fusion plasmas using three-dimensional magnetic fields composed of nested toroidal magnetic surfaces. In generic stellarators, trapped particles can drift across these surfaces and degrade plasma confinement. Certain…

In omnigeneous magnetic fields, charged particles are perfectly confined in the absence of collisions and turbulence. For this reason, the magnetic configuration is optimized to be close to omnigenity in any candidate for a stellarator…

Plasma Physics · Physics 2024-09-04 J. L. Velasco , I. Calvo , F. J. Escoto , E. Sánchez , H. Thienpondt , F. I. Parra