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The existence and ballooning-stability of low aspect ratio stellarator equilibria is predicted for CNT with the aid of 3D numerical tools. In addition to having a low aspect ratio, CNT is characterized by a low magnetic field and small…

Plasma Physics · Physics 2017-04-13 K. C. Hammond , S. A. Lazerson , F. A. Volpe

Information about the last stages of a binary neutron star inspiral and the final merger can be extracted from quasi-equilibrium configurations and dynamical evolutions. In this article, we construct quasi-equilibrium configurations for…

For static reductions of isotropic and anisotropic Magnetohydrodynamics plasma equilibrium models, a complete classification of admitted point symmetries and conservation laws up to first order is presented. It is shown that the symmetry…

Mathematical Physics · Physics 2009-11-13 Alexei F. Cheviakov , Stephen C. Anco

The linear collisionless damping of zonal flows is calculated for quasi-symmetric stellarator equilibria in flux-tube, flux-surface, and full-volume geometry. Equilibria are studied from the quasi-helical symmetry configuration of the…

Plasma Physics · Physics 2023-08-15 J. Smoniewski , E. Sánchez , I. Calvo , M. J. Pueschel , J. N. Talmadge

Coil complexity is a critical consideration in stellarator design. The traditional two-step optimization approach, in which the plasma boundary is optimized for physics properties and the coils are subsequently optimized to be consistent…

Plasma Physics · Physics 2021-04-26 Arthur Carlton-Jones , Elizabeth J. Paul , William Dorland

A method is described to model the magnetic field in the vicinity of constellations of multiple satellites using field and plasma current measurements. This quadratic model has the properties that the divergence is zero everywhere and…

Predictive modeling of stellarator plasmas is crucial for advancing nuclear fusion energy, yet it faces unique computational difficulties. One of the main challenges is accurately simulating the dynamics of specific particle species that…

Plasma Physics · Physics 2025-11-21 Luca Venerando Greco

In stellarators, achieving effective divertor configurations is challenging due to the three-dimensional nature of the magnetic fields, which often leads to chaotic field lines and fuzzy separatrices. This work presents a novel approach to…

Plasma Physics · Physics 2025-11-03 Todd Elder , Matt Landremann , Christoper B. Smiet , Robert Davies

We analyze an axisymmetric equilibrium of a plasma endowed with toroidal and poloidal velocity fields, with the aim to characterize the influence of the global motion on the morphology of the magnetic confinement. We construct our…

Plasma Physics · Physics 2021-08-02 Giovanni Montani , Matteo Del Prete

It is known that magnetic perturbations can mitigate edge localized modes (ELMs) in experiments, for example MAST (Kirk et al 2013 Nucl. Fusion 53 043007). One hypothesis is that the magnetic perturbations cause a three dimensional…

Plasma Physics · Physics 2015-10-29 C J Ham , I T Chapman , A Kirk , S Saarelma

Generically, a fully measured elasticity tensor has no material symmetry. For single crystals with a cubic lattice, or for the aeronautics turbine blades superalloys such as Nickelbased CMSX-4, cubic symmetry is nevertheless expected. It is…

Optimization and Control · Mathematics 2022-03-29 Perla Azzi , Rodrigue Desmorat , Boris Kolev , Fabien Priziac

The fusion created by magnetically confined plasma is a promising clean and essentially unlimited future energy source. However, net energy generation has not been yet demonstrated in fusion experiments. Some of the main problems hindering…

Plasma Physics · Physics 2025-10-20 Natanael Bort-Soldevila , Jaume Cunill-Subiranas , Alvaro Sanchez

The reduction of magnetic forces on electromagnetic coils is an important consideration in the design of high-field devices such as the stellarator or tokamak. Unfortunately, these forces may be too time-consuming to evaluate by…

Plasma Physics · Physics 2024-10-15 Siena Hurwitz , Matt Landreman , Alan Kaptanoglu

Bootstrap current plays a crucial role in the equilibrium of magnetically confined plasmas, particularly in quasisymmetric (QS) stellarators and in tokamaks, where it can represent bulk of the electric current density. Accurate modeling of…

Plasma Physics · Physics 2025-07-08 Saurabh Saxena , Nathaniel Ferraro , Mike F. Martin , Adelle M. Wright

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. For this purpose, a near-axis expansion based on a direct…

Plasma Physics · Physics 2021-05-12 Patrick Kim , Rogerio Jorge , William Dorland

Axisymmetric magnetohydrodynamics (MHD) can be invoked for describing astrophysical magnetized flows and formulated to model stellar magnetospheres including main sequence stars (e.g. the Sun), compact stellar objects [e.g. magnetic white…

Solar and Stellar Astrophysics · Physics 2014-03-05 Lile Wang , Yu-Qing Lou

For the representation of axi-symmetric plasma configurations, it is natural to use cyl. coordinates (R,Z,$\phi$), where $\phi$ is an independent coordinate. The same cyl. coordinates have also been widely used for representing 3D MHD…

Plasma Physics · Physics 2025-02-17 Florian J. Hindenlang , Gabriel G. Plunk , Omar Maj

The quasi-independent curvilinear coordinate approximation (QUICCA) method [K. N\'emeth and M. Challacombe, J. Chem. Phys. {\bf 121}, 2877, (2004)] is extended to the optimization of crystal structures. We demonstrate that QUICCA is valid…

Chemical Physics · Physics 2009-11-11 Karoly Nemeth , Matt Challacombe

Omnigenity is a desirable property of toroidal magnetic fields that ensures confinement of trapped particles. Confining charged particles is a basic requirement for any fusion power plant design, but it can be difficult to satisfy with the…

Plasma Physics · Physics 2024-04-05 Daniel W. Dudt , Alan G. Goodman , Rory Conlin , Dario Panici , Egemen Kolemen

Several problems in magnetically confined fusion, such as the computation of exterior vacuum fields or the decomposition of the total magnetic field into separate contributions from the plasma and the external sources, are best formulated…

Numerical Analysis · Mathematics 2019-11-25 Dhairya Malhotra , Antoine J. Cerfon , Michael O'Neil , Evan Toler