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We report work towards a relativistic formulation for modeling strongly magnetized neutron stars, rotating or in a close circular orbit around another neutron star or black hole, under the approximations of helical symmetry and ideal MHD.…

General Relativity and Quantum Cosmology · Physics 2011-11-08 Charalampos Markakis , Koji Uryu , Eric Gourgoulhon

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

Using a novel optimization procedure it has been shown that the Helically Symmetric eXperiment (HSX) stellarator can be optimized for reduced trapped-electron-mode (TEM) instability [M.J.~Gerard et al., \textit{Nucl.~Fusion} \textbf{63}…

Rotation is favorable for confinement, but a stellarator can rotate at high speeds if and only if it is sufficiently close to quasisymmetry. This article investigates how close it needs to be. For a magnetic field $\mathbf{B} = \mathbf{B}_0…

Plasma Physics · Physics 2015-06-16 Ivan Calvo , Felix I. Parra , J. L. Velasco , J. Arturo Alonso

In fusion reactor design, steels under consideration for the blanket are ferromagnetic, so the steel's effect on the plasma physics must be examined. For efficient calculation of these fields, we can exploit the fact that the magnetic…

Plasma Physics · Physics 2026-01-13 Matt Landreman , Humberto Torreblanca , Antoine Cerfon

Collisionless physics primarily determines the transport of fusion-born alpha particles in 3D equilibria. Several transport mechanisms have been implicated in stellarator configurations, including stochastic diffusion due to class…

Plasma Physics · Physics 2022-11-23 E. J. Paul , A. Bhattacharjee , M. Landreman , D. Alex , J. L. Velasco , R. Nies

Quasisymmetry (QS), a hidden symmetry of the magnetic field strength, is known to support nested flux surfaces and provide superior particle confinement in stellarators. In this work, we study the ideal MHD equilibrium and stability of…

Plasma Physics · Physics 2024-02-06 W. Sengupta , N. Nikulsin , R. Gaur , A. Bhattacharjee

Many stellarator coil design problems are plagued by multiple minima, where the locally optimal coil sets can sometimes vary substantially in performance. As a result, solving a coil design problem a single time with a local optimization…

Computational Physics · Physics 2024-05-22 Andrew Giuliani

Maximising particle and energy confinement is crucial for achieving the sustained burning plasma conditions necessary to realise fusion energy. For stellarator reactors, one proposed strategy for avoiding destructive instabilities is to…

Plasma Physics · Physics 2025-12-30 Adelle M. Wright , Benjamin J. Faber

Context. It has been suggested that collapsing magnetic traps may contribute to accelerating particles to high energies during solar flares. Aims. We present a detailed investigation of the energization processes of particles in collapsing…

Solar and Stellar Astrophysics · Physics 2012-09-05 K. J. Grady , T. Neukirch , P. Giuliani

This paper introduces a novel second-order splitting scheme for charged-particle dynamics in strong magnetic fields characterized by the maximal ordering. The proposed scheme is explicit and symmetric, which respectively ensure the…

Numerical Analysis · Mathematics 2026-04-14 Mengting Hu , Jiyong Li , Bin Wang

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…

When a pulsed, few-cycle electromagnetic wave is focused by optics with f-number smaller than two, the frequency components it contains are focused to different regions of space, building up a complex electromagnetic field structure.…

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

We expand the off-resonant scattering theory for particle diffusion in magnetized current filaments that can be typically compared to astrophysical jets, including active galactic nucleus jets. In a high plasma beta region where the…

Astrophysics · Physics 2009-11-13 Mitsuru Honda , Yasuko S. Honda

A transverse multipole expansion is derived, including the longitudinal components necessarily present in regions of varying magnetic field profile. It can be used for exact numerical orbit following through the fringe field regions of…

Accelerator Physics · Physics 2016-09-08 Yannis Papaphilippou , Jie Wei , Richard Talman

A single-field-period quasi-isodynamic stellarator configuration is presented. This configuration, which resembles a twisted strip, is obtained by the method of direct construction, that is, it is found via an expansion in the distance from…

Plasma Physics · Physics 2022-11-23 R. Jorge , G. G. Plunk , M. Drevlak , M. Landreman , J. -F. Lobsien , K. Camacho Mata , P. Helander

In solar flares, a large number of charged particles is accelerated to high energies. By which physical processes this is achieved is one of the main open problems in solar physics. It has been suggested that during a flare, regions of the…

Solar and Stellar Astrophysics · Physics 2014-09-05 Solmaz Eradat Oskoui , Thomas Neukirch

The confinement of Neutral Beam Injection (NBI) particles in the presence of n=3 Resonant Magnetic Perturbations (RMPs) in 15 MA ITER DT plasmas has been studied using full orbit ASCOT simulations. Realistic NBI distribution functions, and…

The equation of state of cold supra-nuclear-density matter, such as in neutron stars, is an open question in astrophysics. A promising method for constraining the neutron star equation of state is modelling pulse profiles of thermonuclear…

High Energy Astrophysical Phenomena · Physics 2016-12-28 A. L. Stevens , J. D. Fiege , D. A. Leahy , S. M. Morsink