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Relying on rays, we search for submodules of a module V over a supertropical semiring on which a given anisotropic quadratic form is quasilinear. Rays are classes of a certain equivalence relation on V, that carry a notion of convexity,…

Rings and Algebras · Mathematics 2018-07-10 Zur Izhakian , Manfred Knebusch

We present initial results of the first self-consistent numerical model of the outer magnetosphere of a pulsar. By using the relativistic ``particle-in-cell'' method with special boundary conditions to represent plasma dynamics in 3D, we…

Astrophysics · Physics 2007-05-23 Anatoly Spitkovsky , Jonathan Arons

Flux tube simulations of plasma turbulence in stellarators and tokamaks typically employ coordinates which are aligned with the magnetic field lines. Anisotropic turbulent fluctuations can be represented in such field-aligned coordinates…

The linear collisionless plasma response to a zonal-density perturbation in quasisymmetric stellarators is studied, including the geodesic-acoustic-mode oscillations and the Rosenbluth--Hinton residual flow. While the geodesic-acoustic-mode…

Plasma Physics · Physics 2025-02-05 Hongxuan Zhu , Z. Lin , A. Bhattacharjee

We present a numerical method to compute quasiequilibrium configurations of close binary neutron stars in the pre-coalescing stage. A hydrodynamical treatment is performed under the assumption that the flow is either rigidly rotating or…

General Relativity and Quantum Cosmology · Physics 2009-10-31 E. Gourgoulhon , P. Grandclement , K. Taniguchi , J. -A. Marck , S. Bonazzola

The physics of energy transfer between the laser and the plasma in laser wakefield accelerators is studied. We find that wake excitation by arbitrary laser shapes can be parameterized using the total pulse energy and pulse depletion length.…

Accelerator Physics · Physics 2011-07-19 Anatoly Spitkovsky , Pisin Chen

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

This paper describes in detail the construction of a local right-handed, orthogonal curvilinear coordinate system whose axes are along the local tangent, the local azimuth and the local normal of an analytically defined 3D surface of…

Plasma Physics · Physics 2022-09-21 S K H Auluck

A general relativistic version of the Euler equation for perfect fluid hydrodynamics is applied to a system of two neutron stars orbiting each other. In the quasi-equilibrium phase of the evolution of this system, a first integral of motion…

General Relativity and Quantum Cosmology · Physics 2009-10-30 S. Bonazzola , E. Gourgoulhon , J. -A. Marck

Quasi-equilibrium sequences of binary neutron stars are constructed for a variety of equations of state in general relativity. Einstein's constraint equations in the Isenberg-Wilson-Mathews approximation are solved together with the…

Solar and Stellar Astrophysics · Physics 2015-05-18 Keisuke Taniguchi , Masaru Shibata

In this work, we provide an overview of various control strategies aimed at steering plasma toward desired configurations using an external magnetic field. From a modeling perspective, we focus on the Vlasov equation in a two-dimensional…

Numerical Analysis · Mathematics 2026-04-06 Federica Ferrarese

Reduced magnetohydrodynamic (MHD) equations are used to study the nonlinear dynamics of external kinks in a quasi-axisymmetric (QA) stellarator with varying fractions of external rotational transform. The large bootstrap currents associated…

Plasma Physics · Physics 2021-05-13 Rohan Ramasamy , Matthias Hoelzl , Erika Strumberger , Karl Lackner , Sibylle Günter

A technical note is given regarding our previous laboratory plasma-astrophysical studies [C.-S. Jao et al., High Energy Density Physics 32, 31-43 (2019) and Y. Chen et al., Nucl. Instrum. Methods Phys. Res., Sect. A 903, 119 (2018)]. In…

Instrumentation and Detectors · Physics 2019-11-04 Ye Chen , Chun-Sung Jao

To identify under what conditions guiding-centre or full-orbit tracing should be used, an estimation of the spatial variation of the magnetic field is proposed, not only taking into account gradient and curvature terms but also parallel…

Plasma Physics · Physics 2015-05-01 David Pfefferlé , Jonathan P. Graves , Wilfred A. Cooper

The close vicinity of neutron stars remains poorly constrained by observations. Although plenty of data are available for the peculiar class of pulsars we are still unable to deduce the underlying plasma distribution in their magnetosphere.…

High Energy Astrophysical Phenomena · Physics 2015-06-23 J. Pétri

Turbulent transport is regarded as one of the key issues in magnetic confinement nuclear fusion, both for tokamaks in stellarators. In this work, we show that a significant decrease in a microstability-based proxy, as opposed to a geometric…

Plasma Physics · Physics 2024-08-30 R. Jorge , W. Dorland , P. Kim , M. Landreman , N. R. Mandell , G. Merlo , T. Qian

We study a variational model of magnetoelasticity both in the static and in the quasistatic setting. The model features a mixed Eulerian-Lagrangian formulation, as magnetizations are defined on the deformed configuration in the actual…

Analysis of PDEs · Mathematics 2025-07-22 Marco Bresciani

We present a method for nonlinear parametric optimization based on algebraic geometry. The problem to be studied, which arises in optimal control, is to minimize a polynomial function with parameters subject to semialgebraic constraints.…

Optimization and Control · Mathematics 2007-05-23 Ioannis A. Fotiou , Philipp Rostalski , Bernd Sturmfels , Manfred Morari

We have developed a fast method to design perpendicular permanent magnets for simplifying stellarator coils based on existing codes. Coil complexity is one of the main challenges for stellarators. To date, only electromagnetic coils have…

Plasma Physics · Physics 2020-05-13 Caoxiang Zhu , Michael Zarnstorff , David Gates , Arthur Brooks

We conduct a multiparametric study of driven magnetic reconnection relevant to recent experiments on colliding magnetized laser produced plasmas using particle-in-cell simulations. Varying the background plasma density, plasma resistivity,…

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