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A method is demonstrated to rapidly calculate the shapes and properties of quasi-axisymmetric and quasi-helically symmetric stellarators. In this approach, optimization is applied to the equations of magnetohydrodynamic equilibrium and…

Plasma Physics · Physics 2023-01-04 Matt Landreman

Stellarator coils are known for their complexity and departure from planarity, along with tight manufacturing tolerances in order to achieve the target magnetic field accuracy. These requirements can lead to increased costs and delays in…

Instrumentation and Detectors · Physics 2025-07-31 Pedro F. Gil , Vitali Brack , Tristan Schuler , Paul Huslage , E. V. Stenson

As is well known, pulsars are extremely stable rotators. However, although slowly, they spin down thanks to brake mechanisms, which are in fact still subject of intense investigation in the literature. Since pulsars are usually modelled as…

High Energy Astrophysical Phenomena · Physics 2021-10-14 Jaziel G. Coelho , José C. N. de Araujo , Samantha M. Ladislau , Rafael C. Nunes

Magnetars are proposed to be peculiar neutron stars which could power their X-ray radiation by super-strong magnetic fields as high as $\gtrsim 10^{14}$ G. However, no direct evidence for such strong fields is obtained till now, and the…

High Energy Astrophysical Phenomena · Physics 2016-01-20 Xue-Yu Xiong , Chun-Yuan Gao , Ren-Xin Xu

While it is important to design stellarators with high magneto-hydrodynamic (MHD) stability $\beta$-limit, it is also crucial to ensure that good magnetic surfaces exist in a large range of $\beta$ values. As $\beta$ increases,…

Plasma Physics · Physics 2023-05-17 A. Baillod , J. Loizu , Z. Qu , H. P. Arbez , J. P. Graves

Frontal polymerization is a promising energy-saving method for rapid fabrication of polymer components with good mechanical properties. In these systems, a small energy input is sufficient to convert monomers, from a liquid or soft solid…

Soft Condensed Matter · Physics 2023-10-04 Xuanhe Li , Tal Cohen

Tokamaks and stellarators are the leading magnetic-confinement concepts for fusion, but they rely on complementary design principles. Tokamaks use simple axisymmetric coils and plasma current, whereas stellarators use externally generated…

A reinforcement learning approach to design optimised graded metamaterials for mechanical energy confinement and amplification is described. Through the proximal policy optimisation algorithm, the reinforcement agent is trained to optimally…

Applied Physics · Physics 2023-02-27 Luca Rosafalco , Jacopo Maria De Ponti , Luca Iorio , Raffaele Ardito , Alberto Corigliano

The particle-in-cell approach has proven effective at modeling neutron star and black hole magnetospheres from first principles, but global simulations are plagued with an unrealistically small separation between the scales where…

High Energy Astrophysical Phenomena · Physics 2024-10-09 Adrien Soudais , Benoît Cerutti , Ioannis Contopoulos

The mechanism that accelerates particles to the energies required to produce the observed high-energy impulsive emission in solar flares is not well understood. Drake et al. (2006) proposed a mechanism for accelerating electrons in…

Solar and Stellar Astrophysics · Physics 2016-03-23 S. E. Guidoni , C. R. DeVore , J. T. Karpen , B. J. Lynch

We use a gap function in order to compare the torsional performances of different reinforced plates under the action of external forces. Then, we address a shape optimization problem, whose target is to minimize the torsional displacements…

Analysis of PDEs · Mathematics 2018-03-29 Elvise Berchio , Davide Buoso , Filippo Gazzola , Davide Zucco

In the design of stellarators, energetic particle confinement is a critical point of concern which remains challenging to study from a numerical point of view. Standard Monte Carlo analyses are highly expensive because a large number of…

Plasma Physics · Physics 2022-05-18 Frederick Law , Antoine Cerfon , Benjamin Peherstorfer

Nuclear fusion using magnetic confinement holds promise as a viable method for sustainable energy. However, most fusion devices have been experimental and as we move towards energy reactors, we are entering into a new paradigm of…

Plasma Physics · Physics 2023-10-04 Timothy Nunn , Vignesh Gopakumar , Sebastien Kahn

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

We developed a code for the reconstruction of nonlinear force-free and non-force-free coronal magnetic fields. The 3D magnetic field is computed numerically with the help of an optimization principle. The force-free and non-force-free codes…

Astrophysics · Physics 2009-06-25 T. Wiegelmann

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

The concentration of magnetic flux near the poles of rapidly rotating cool stars has been recently proposed as an alternative mechanism to dynamo saturation in order to explain the saturation of angular momentum loss. In this work we study…

Astrophysics · Physics 2007-07-25 A. Aibéo , J. M. Ferreira , J. J. G. Lima

We prove strong crystallization results in two dimensions for an energy that arises in the theory of block copolymers. The energy is defined on sets of points and their weights, or equivalently on the set of atomic measures. It consists of…

Analysis of PDEs · Mathematics 2013-11-11 D. P. Bourne , M. A. Peletier , F. Theil

The slow dynamics for a colloidal suspension of particles interacting with a hard-core repulsion complemented by a short-ranged attraction is discussed within the frame of mode-coupling theory for ideal glass transitions for parameter…

Soft Condensed Matter · Physics 2007-05-23 Matthias Sperl

We aim at combining high coercivity magnetic nanowires in a polymer matrix in a view to fabricate rare--earth free bonded magnets. In particular, our aim is to fabricate anisotropic materials by aligning the wires in the polymer matrix. We…

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