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We report, in detail, an optimization approach for fitting a three-dimensional (3D) magnetic cloud (MC) model to {\em in situ} spacecraft measurements. The model, dubbed the Freidberg solution, encompasses 3D spatial variations in a…

Space Physics · Physics 2021-07-07 Qiang Hu

We extend the foil winding homogenization method to magnetic field conforming formulations. We first propose a full magnetic field foil winding formulation by analogy with magnetic flux density conforming formulations. We then introduce the…

Computational Engineering, Finance, and Science · Computer Science 2026-05-19 Louis Denis , Elias Paakkunainen , Paavo Rasilo , Sebastian Schöps , Benoît Vanderheyden , Christophe Geuzaine

We present an analysis of the relationship between the orientation of magnetic fields and filaments that form in 3D magnetohydrodynamic simulations of cluster-forming, turbulent molecular cloud clumps. We examine simulated cloud clumps with…

Astrophysics of Galaxies · Physics 2016-12-21 Mikhail Klassen , Ralph E. Pudritz , Helen Kirk

A technique is proposed for constructing three-dimensional solutions comlplying with the self-consistent magnetohydrostatic (MHS) equations and with observations along the line of sight of the magnetic field at the photosphere. The…

Astrophysics · Physics 2009-10-31 G. V. Rudenko

We develop a formalism wherein the solution of the equations of equilibrium for a self-gravitating, magnetized interstellar cloud may be accomplished analytically, under the only hypotheses that (a) the cloud is scale-free, and (b) is…

Astrophysics · Physics 2007-05-23 Daniele Galli

One "strong" magnetic cloud (MC) with the magnetic field magnitude reaching $\sim$ 40 nT at 1 au during 2012 June 16-17 is examined in association with a pre-existing magnetic flux rope (MFR) identified on the Sun. The MC is characterized…

Solar and Stellar Astrophysics · Physics 2022-08-03 Qiang Hu , Chunming Zhu , Wen He , Jiong Qiu , Lan K. Jian , Avijeet Prasad

We study the properties of magnetised cylindrical polytropes as models for interstellar filamentary clouds, extending the analysis presented in a companion paper (Toci & Galli 2014a). We formulate the general problem of magnetostatic…

Solar and Stellar Astrophysics · Physics 2015-06-23 Claudia Toci , Daniele Galli

New high-resolution observations reveal that small-scale magnetic flux concentrations have a delicate substructure on a spatial scale of 0.1''. Its basic structure can be interpreted in terms of a magnetic flux sheet or tube that vertically…

Astrophysics · Physics 2007-05-23 Oskar Steiner

We present results from three-dimensional (3-D) numerical simulations investigating the magnetohydrodynamics of cloud-wind interactions. The initial cloud is spherical while the magnetic field is uniform and transverse to the cloud motion.…

Astrophysics · Physics 2007-05-23 G. Gregori , Francesco Miniati , Dongsu Ryu , T. W. Jones

We derive the exact solution of the Boltzmann kinetic equation for the three-dimensional Lorentz model in the presence of a constant and uniform magnetic field. The velocity distribution of the electrons reduces exponentially fast to its…

Statistical Mechanics · Physics 2009-11-11 F. Cornu , J. Piasecki

Turbulence in the solar wind is characterized by Alfv\'enic fluctuations that exhibit spherical polarization, a geometric condition resulting in the nearly constant magnitude of the magnetic field. This property persists even during the…

Plasma Physics · Physics 2026-05-07 Anna Tenerani , Marco Velli

Following the previous work of Ferretti and Yang on the role of magnetic fields in the theory of conformal turbulence, we show that non-unitary minimal model solutions to 2-dimensional magnetohydrodynamics (MHD) obtained by dimensional…

High Energy Physics - Theory · Physics 2015-06-26 Omduth Coceal , Steven Thomas

In this study, we perform 3D magnetohydrodynamics (MHD) simulations of filamentary molecular clouds. We then generate synthetic observations based on the simulation results. Using these, we investigate how the new polarization data analysis…

Astrophysics of Galaxies · Physics 2024-12-19 Haruka Fukihara , Daisuke Takaishi , Yoshiaki Misugi , Megumi Sasaki , Yusuke Tsukamoto

In paper I, we obtained an equation for the evolution of density inhomogeneities in a radiation dominated universe when they are affected by magnetic fields. In this second paper we apply this equation to the case in which the subjacent…

Astrophysics · Physics 2016-08-30 E. Florido , E. Battaner

An analytical representation of the interstellar magnetic field in the vicinity of the heliosphere is derived. The three-dimensional field structure close to the heliopause is calculated as a solution of the induction equation under the…

Solar and Stellar Astrophysics · Physics 2015-06-11 Christian Röken , Jens Kleimann , Horst Fichtner

We construct two classes of magnetohydrostatic (MHS) equilibria for an axisymmetric vertical flux tube spanning from the photosphere to the lower part of the transition region within a realistic stratified solar atmosphere subject to solar…

Solar and Stellar Astrophysics · Physics 2019-06-07 Samrat Sen , A. Mangalam

An asymptotic expansion is performed to obtain quasi-axisymmetric magnetic configurations that are weakly non-axisymmetric. A large space of solutions is identified, which satisfy the condition of quasi-axisymmetry on a single magnetic flux…

Plasma Physics · Physics 2018-06-06 G. G. Plunk , P. Helander

In the first part of these lecture notes, new high-resolution observations of small-scale magnetic flux concentrations are presented and compared to results from new three-dimensional magnetohydrodynamic simulations. Special attention is…

Astrophysics · Physics 2009-03-19 O. Steiner

We present a novel statistical analysis aimed at deriving the intrinsic shapes and magnetic field orientations of molecular clouds using dust emission and polarization observations by the Hertz polarimeter. Our observables are the aspect…

Astrophysics of Galaxies · Physics 2015-05-13 K. Tassis , C. D. Dowell , R. H. Hildebrand , L. Kirby , J. E. Vaillancourt

A model of magnetic field structure is presented to help test the prevalence of flux freezing in star-forming clouds of various shapes, orientations, and degrees of central concentration, and to estimate their magnetic field strength. The…

Astrophysics of Galaxies · Physics 2018-11-28 Philip C. Myers , Shantanu Basu , Sayantan Auddy
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