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Article
Physics, Fluids & Plasmas
Gabriele Merlo et al.
Summary: Local gyrokinetic simulations with the GENE code study the interaction between negative triangularity delta and magnetic shear s in ion temperature gradient and trapped electron mode dominated plasmas. Magnetic shear has a non-trivial influence on the effect of negative triangularity. It is found that delta < 0 leads to a reduction of fluxes when s > 1, but not when shear is reduced. In certain parameter regimes, this effect can be inverted, resulting in higher fluxes when delta < 0 compared to its delta > 0 counterpart.
JOURNAL OF PLASMA PHYSICS
(2023)
Article
Physics, Fluids & Plasmas
Eduardo Rodriguez
Summary: The shape of the cross-section of a toroidal magnetic field configuration can affect its MHD stability. Positive triangularity is believed to contribute positively to stability, especially in vertically elongated tokamaks. However, for quasisymmetric stellarators, the relation between triangularity and stability is modified due to the toroidal asymmetry of flux surfaces.
JOURNAL OF PLASMA PHYSICS
(2023)
Article
Physics, Fluids & Plasmas
R. J. J. Mackenbach et al.
Summary: Investigated the available energy (ae) in trapped-electron-mode-driven turbulence and found that negative shear, vertical elongation, and negative triangularity have stabilizing effects. Compared ae with saturated energy flux estimates from the TGLF model and found good correspondence. Extracted a gradient-threshold-like quantity from ae and found that negative triangularity leads to a particularly high threshold.
JOURNAL OF PLASMA PHYSICS
(2023)
Article
Physics, Fluids & Plasmas
R. J. J. Mackenbach et al.
Summary: This paper presents a calculation of the available energy carried by trapped electrons in a collisionless plasma. The calculation shows a strong correlation between the available energy and the turbulent energy fluxes found in gyrokinetic simulations. It is also found that deeply trapped electrons contribute the most to the available energy. Furthermore, the study reveals important differences in the available energy between weakly and strongly driven regimes in stellarators and tokamaks.
JOURNAL OF PLASMA PHYSICS
(2023)
Article
Physics, Fluids & Plasmas
J.L. Velasco et al.
Article
Physics, Fluids & Plasmas
R. J. J. Mackenbach et al.
Summary: In this article, we present various analytical and numerical methods for calculating the average drift of magnetically trapped particles in complex geometries. We compare these methods and find that the trapezoidal method has lower computational cost but sacrifices accuracy compared to more standard quadrature methods. We also investigate the effects of computational boundaries on particle drifts and find important differences depending on the specific implementation of the calculation. Finally, we study the bounce-averaged drifts in the NCSX stellarator and deduce important properties regarding trapped-particle modes and radial drifts.
PHYSICS OF PLASMAS
(2023)
Article
Physics, Fluids & Plasmas
E. Rodriguez et al.
Summary: Quasisymmetric stellarators are an attractive class of optimized magnetic confinement configurations. This study compares three measure candidates used in the literature, illustrating their lack of universality. Since these metrics do not directly correspond to any physical property, optimization should employ additional physical metrics for guidance.
JOURNAL OF PLASMA PHYSICS
(2022)
Article
Physics, Multidisciplinary
Matt Landreman et al.
Summary: This study demonstrates that quasisymmetry can be achieved in toroidal magnetic fields to a much higher precision than previously thought, resulting in exceptional confinement of charged particles and plasma.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Fluids & Plasmas
E. Rodriguez et al.
Summary: We demonstrate that weakly quasisymmetric magnetic fields can be solved to arbitrarily high order using powers of the distance from the magnetic axis. However, this does not provide definitive proof of the existence of global solutions, but rather offers a systematic construction method for solutions.
PHYSICS OF PLASMAS
(2022)
Article
Physics, Multidisciplinary
R. J. J. Mackenbach et al.
Summary: This study investigates the available energy carried by magnetically trapped electrons in a collisionless plasma and its correlation with the energy flux resulting from collisionless turbulence.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Fluids & Plasmas
Matt Landreman
Summary: A method is demonstrated to rapidly calculate the shapes and properties of quasi-axisymmetric and quasi-helically symmetric stellarators through optimization of magnetohydrodynamic equilibrium and quasisymmetry equations. The database of optimized configurations shows the existence of quasisymmetric configurations in continuous bands, with the discovery of several qualitatively new configuration types.
JOURNAL OF PLASMA PHYSICS
(2022)
Article
Physics, Fluids & Plasmas
E. Rodriguez et al.
Summary: In this paper, we explore the structure of the space of quasisymmetric configurations and classify them based on their magnetic axes, which are described as three-dimensional closed curves. We demonstrate that this topological perspective divides the space of all configurations into distinct quasisymmetric phases, each characterized by its self-linking number. These phases represent different symmetry configurations, such as quasi-axisymmetry or quasi-helical symmetry. We further investigate general features associated with these phases by considering models for closed curves. Additionally, we build general criteria and leverage them to provide a simple way of describing existing quasisymmetric designs.
PLASMA PHYSICS AND CONTROLLED FUSION
(2022)
Article
Physics, Fluids & Plasmas
E. Rodriguez et al.
Summary: Research has shown that it is possible to circumvent the problem of overdetermination and demonstrate the potential existence of globally quasisymmetric fields even in equilibria with anisotropic pressure by using higher order power-series solutions.
PHYSICS OF PLASMAS
(2021)
Article
Physics, Fluids & Plasmas
Matt Landreman
Summary: A new method for rapid stellarator configuration design has been demonstrated, which can compute quantities of interest directly from a small distance expansion near the magnetic axis. These quantities can be used for optimizing coil shapes, evaluating magnetic field properties, and determining physical constraints of the configuration.
JOURNAL OF PLASMA PHYSICS
(2021)
Article
Physics, Fluids & Plasmas
P. Kim et al.
Summary: A simplified analytical form of the on-axis magnetic well and Mercier's criterion for interchange instabilities for arbitrary three-dimensional magnetic field geometries is derived. The derivation is presented using modern notation and in a more streamlined manner that highlights essential steps. These expressions are numerically verified using several quasisymmetric and non-quasisymmetric stellarator configurations including Wendelstein 7-X.
JOURNAL OF PLASMA PHYSICS
(2021)
Article
Physics, Fluids & Plasmas
J. L. Velasco et al.
Summary: Understanding the confinement of energetic ions in non-axisymmetric magnetic fields is crucial for designing reactors based on the stellarator concept. The developed model, based on radial-local bounce-averaged drift-kinetic equations, classifies orbits and predicts configuration-dependent aspects of energetic ion losses in stellarators, which can be useful in the optimization stage of designing new devices.
Article
Physics, Fluids & Plasmas
A. Bader et al.
Summary: The energetic particle content and performance on the neoclassical Gamma(c) metric of nine scaled stellarator configurations were analyzed. Configurations that perform well on both Gamma(c) and quasisymmetry have the best overall confinement, with collisional losses under 3%, approaching the performance of ITER with ferritic inserts.
Article
Physics, Fluids & Plasmas
Per Helander
JOURNAL OF PLASMA PHYSICS
(2020)
Article
Physics, Fluids & Plasmas
E. J. Kolmes et al.
PHYSICS OF PLASMAS
(2020)
Article
Physics, Fluids & Plasmas
E. Rodriguez et al.
PHYSICS OF PLASMAS
(2020)
Article
Physics, Fluids & Plasmas
Matt Landreman et al.
JOURNAL OF PLASMA PHYSICS
(2020)
Article
Physics, Fluids & Plasmas
A. Marinoni et al.
PHYSICS OF PLASMAS
(2019)
Article
Physics, Fluids & Plasmas
Matt Landreman et al.
JOURNAL OF PLASMA PHYSICS
(2019)
Article
Physics, Fluids & Plasmas
Lei Qi et al.
Article
Physics, Fluids & Plasmas
Per Helander
JOURNAL OF PLASMA PHYSICS
(2017)
Article
Physics, Fluids & Plasmas
Ivan Calvo et al.
PLASMA PHYSICS AND CONTROLLED FUSION
(2017)
Article
Physics, Fluids & Plasmas
G. Merlo et al.
PLASMA PHYSICS AND CONTROLLED FUSION
(2015)
Article
Physics, Fluids & Plasmas
C. C. Hegna
PHYSICS OF PLASMAS
(2015)
Review
Physics, Multidisciplinary
Per Helander
REPORTS ON PROGRESS IN PHYSICS
(2014)
Article
Physics, Fluids & Plasmas
P. Helander et al.
PHYSICS OF PLASMAS
(2013)
Article
Physics, Multidisciplinary
J. H. E. Proll et al.
PHYSICAL REVIEW LETTERS
(2012)
Article
Physics, Fluids & Plasmas
Matt Landreman et al.
PHYSICS OF PLASMAS
(2012)
Article
Physics, Fluids & Plasmas
V. V. Nemov et al.
PHYSICS OF PLASMAS
(2008)
Article
Physics, Fluids & Plasmas
X Garbet et al.
PLASMA PHYSICS AND CONTROLLED FUSION
(2004)
Article
Physics, Fluids & Plasmas
JQ Li et al.
PLASMA PHYSICS AND CONTROLLED FUSION
(2002)
Article
Physics, Fluids & Plasmas
CC Hegna
PHYSICS OF PLASMAS
(2000)
Article
Physics, Fluids & Plasmas
AM Dimits et al.
PHYSICS OF PLASMAS
(2000)
