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We present a numerical and analytical study of incompressible homogeneous conducting fluids using a helical Fourier representation. We analytically study both small- and large-scale dynamo properties, as well as the inverse cascade of…

Fluid Dynamics · Physics 2017-03-02 Moritz Linkmann , Ganapati Sahoo , Mairi McKay , Arjun Berera , Luca Biferale

The effect of precession in a rotating sphere filled with fluid was studied with direct numerical simulations, both in the incompressible hydrodynamics (HD) and magnetohydrodynamics (MHD) scenarios. In both cases the asymptotic state and…

Fluid Dynamics · Physics 2022-12-13 Manuel I. Etchevest , Mauro Fontana , Pablo Dmitruk

We show that hemispherical dynamos can result from weak equatorial symmetry breaking of the flow in the interior of planets and stars. Using a model of spherical dynamo, we observe that the interaction between a dipolar and a quadrupolar…

Earth and Planetary Astrophysics · Physics 2015-05-13 Basile Gallet , François Pétrélis

We consider the formation and evolution of vortices in a hydrodynamic shearing-sheet model. The evolution is done numerically using a version of the ZEUS code. Consistent with earlier results, an injected vorticity field evolves into a set…

Astrophysics · Physics 2009-11-11 Bryan M. Johnson , Charles F. Gammie

In an attempt to understand why the dominating magnetic field observed in the von-K\'arm\'an-Sodium (VKS) dynamo experiment is axisymmetric, we investigate in the present paper the ability of mean field models to generate axisymmetric…

Fluid Dynamics · Physics 2012-08-08 A. Giesecke , C. Nore , F. Plunian , R. Laguerre , A. Ribeiro , F. Stefani , G. Gerbeth , J. Leorat , J. -L. Guermond

It has been broadly acknowledged that vortex detection algorithms, usually based on linear-algebraic properties of the velocity gradient tensor, can be plagued with severe shortcomings and may become, in practical terms, dependent on the…

Fluid Dynamics · Physics 2017-01-18 J. H. Elsas , L. Moriconi

We consider a system of nonlinear equations that extends the Maxwell theory. It was pointed out in a previous paper that symmetric solutions of these equations display properties characteristic of magnetic oscillations. In this paper I…

Superconductivity · Physics 2007-05-23 Artur Sowa

Earlier, Chicone, Latushkin and Montgomery-Smith [Comm Math Phys (1997)] have proved the existence of a fast dynamo operator, in compact two-dimensional manifold, as long as its Riemannian curvature be constant and negative. More recently…

Mathematical Physics · Physics 2009-11-03 L Garcia de Andrade

Analysis of driven dust vortex flow is presented in a weakly magnetized plasma. The 2D hydrodynamic model is applied to the confined dust cloud in a non-uniform magnetic field in order to recover the dust vortex flow driven in a…

Plasma Physics · Physics 2020-06-30 Prince Kumar , Devendra Sharma

By tailoring geometrical properties of magnetic nanocap structures, new possibilities appear to control its magnetic properties, such as the dynamics of magnetic vortices. Here, we develop an approach to describe dynamics of magnetic…

Mesoscale and Nanoscale Physics · Physics 2024-11-18 Mykola I. Sloika , Yuri Gaididei , Volodymyr P. Kravchuk , Oleksandr V. Pylypovskyi , Denys Makarov , Denis D. Sheka

A vortex, a circulating flow around a void, is one of the basic topological phenomena in nature. Here we show that vortices generally emerge in spin wave travelling upon topologically nontrivial magnetic texture, due to the transverse…

Mesoscale and Nanoscale Physics · Physics 2024-05-07 Hongbin Wu , Jin Lan

Kinematic dynamo theory is presented here for turbulent conductive fluids. We describe how inhomogeneous magnetic fluctuations are generated below the viscous scale of turbulence where the spatial smoothness of the velocity permits a…

chao-dyn · Physics 2009-10-31 M. Chertkov , G. Falkovich , I. Kolokolov , M. Vergassola

The nature of dynamo action in shear flows prone to magnetohydrodynamic instabilities is investigated using the magnetorotational dynamo in Keplerian shear flow as a prototype problem. Using direct numerical simulations and Newton's method,…

Solar and Stellar Astrophysics · Physics 2015-05-30 J. Herault , F. Rincon , C. Cossu , G. Lesur , G. I. Ogilvie , P. -Y. Longaretti

The spin dynamics are calculated for a model system consisting of magnetically soft, layered nanomagnets, in which two ferromagnetic (F) cylindrical dots, each with a magnetic vortex ground state, are separated by a non-magnetic spacer (N).…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 K. Yu. Guslienko , K. S. Buchanan , S. D. Bader , V. Novosad

The vortex dynamics in a low temperature superconductor deposited on top of a rectangular array of micrometer size permalloy triangles is investigated experimentally. The rectangular unit cell is such that neighboring triangles physically…

Superconductivity · Physics 2009-11-13 J. Van de Vondel , A. V. Silhanek , V. Metlushko , P. Vavassori , B. Ilic , V. V. Moshchalkov

The non-collisional interaction between conducting obstacles and magnetized plasma winds can be found in different scenarios, from the interaction occurring between regions inside galaxy clusters to the interaction between the solar wind…

Earth and Planetary Astrophysics · Physics 2015-06-22 Norberto Romanelli , Daniel Gomez , Cesar Bertucci , Magda Delva

It is usually believed that the geo-dynamo of the Earth or more generally of other planets, is created by the convective fluid motions inside their molten cores. An alternative to this thermal or compositional convection can however be…

Fluid Dynamics · Physics 2016-08-16 P. Le Gal , L. Lacaze , S. Le Dizès

Planetary magnetic fields are generated by motions of electrically conducting fluids in their interiors. The dynamo problem has thus received much attention in spherical geometries, even though planetary bodies are non-spherical. To go…

Earth and Planetary Astrophysics · Physics 2021-09-09 Jérémie Vidal , David Cébron

A plane non-parallel vortex flow in a square fluid domain is examined. The energy dissipation of the flow is dominated by viscosity and linear friction effect of a Hartmann layer. This is a traditional Navier-Stokes flow when the linear…

Analysis of PDEs · Mathematics 2021-09-28 Zhi-Min Chen

The secular variation of the geomagnetic field suggests that there are anticyclonic polar vortices in the Earth's core. Under the influence of a magnetic field, the polar azimuthal flow is thought to be produced by one or more coherent…

Geophysics · Physics 2023-10-11 Debarshi Majumder , Binod Sreenivasan