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We present the results of a numerical investigation of the turbulent kinematic dynamo problem in a high Prandtl number regime. The scales of the magnetic turbulence we consider are far smaller than the Kolmogorov dissipative scale, so that…

天体物理学 · 物理学 2007-05-23 R. J. West , S. Nazarenko , J. P. Laval , S. Galtier

Using direct numerical simulations (DNS) we verify that in the kinematic regime, a turbulent helical dynamo grows in such a way that the magnetic energy spectrum remains to high precision shape-invariant, i.e., at each wavenumber $k$ the…

星系天体物理 · 物理学 2014-10-24 Kandaswamy Subramanian , Axel Brandenburg

Small-scale dynamos play important roles in modern astrophysics, especially on Galactic and extragalactic scales. Owing to dynamo action, purely hydrodynamic Kolmogorov turbulence hardly exists and is often replaced by hydromagnetic…

星系天体物理 · 物理学 2022-12-20 A. Brandenburg , I. Rogachevskii , J. Schober

Small-scale dynamo action is often held responsible for the generation of quiet-Sun magnetic fields. We aim to determine the excitation conditions and saturation level of small-scale dynamos in non-rotating turbulent convection at low…

太阳与恒星天体物理 · 物理学 2018-06-06 Petri J. Käpylä , Maarit J. Käpylä , Axel Brandenburg

Planetary and stellar dynamos likely result from turbulent motions in magnetofluids with kinematic viscosities that are small compared to their magnetic diffusivities. Laboratory experiments are in progress to produce similar dynamos in…

天体物理学 · 物理学 2009-11-11 P. D. Mininni

Amplification of magnetic field due to kinematic turbulent dynamo action is studied in the regime of small magnetic Prandtl numbers. Such a regime is relevant for planets and stars interiors, as well as for liquid metal laboratory…

太阳与恒星天体物理 · 物理学 2015-05-20 Leonid M. Malyshkin , Stanislav Boldyrev

By following the Kazantsev theory and taking into account both microscopic and turbulent diffusion of magnetic fields, we develop a unified treatment of the kinematic and nonlinear stages of turbulent dynamo, and study the dynamo process…

星系天体物理 · 物理学 2016-12-28 Siyao Xu , A. Lazarian

We present numerical investigations into three principal properties of the small-scale dynamo in stably stratified turbulence: the onset criterion, the growth rate, and the nature of the magnetic field anisotropy in the kinematic regime.…

流体动力学 · 物理学 2021-02-04 Valentin Skoutnev , Jonathan Squire , Amitava Bhattacharjee

We study dynamo action in a convective layer of electrically-conducting, compressible fluid, rotating about the vertical axis. At the upper and lower bounding surfaces, perfectly-conducting boundary conditions are adopted for the magnetic…

太阳与恒星天体物理 · 物理学 2011-11-23 Benjamin F. N. Favier , Paul J. Bushby

Context. A crucial step in the numerical investigation of small-scale dynamos in the solar atmosphere consists of an accurate determination of the magnetic Prandtl number, Prm, stemming from radiative magneto-hydrodynamic (MHD) simulations.…

太阳与恒星天体物理 · 物理学 2022-04-27 Fabio Riva , Oskar Steiner

The self-excitation of magnetic field by a spiral Couette flow between two coaxial cylinders is considered. We solve numerically the fully nonlinear, three-dimensional MHD equations for magnetic Prandtl numbers Pm (ratio of kinematic…

天体物理学 · 物理学 2009-11-06 Wolfgang Dobler , Anvar Shukurov , Axel Brandenburg

With a non local shell model of magnetohydrodynamic turbulence we investigate numerically the turbulent dynamo action for low and high magnetic Prandtl numbers ($Pm$). The results obtained in the kinematic regime and along the way to dynamo…

天体物理学 · 物理学 2009-11-13 Rodion Stepanov , Franck Plunian

We investigate the Lagrangian mechanism of the kinematic ``fluctuation'' magnetic dynamo in turbulent plasma flow at small magnetic Prandtl numbers. The combined effect of turbulent advection and plasma resistivity is to carry infinitely…

等离子体物理 · 物理学 2015-05-13 Gregory L. Eyink , Antonio F. Neto

We demonstrate that the critical magnetic Reynolds number $Rm_c$ for a turbulent non-helical dynamo in the low magnetic Prandtl number $Pm$ limit (i.e. $Pm = Rm/Re \ll 1$) can be significantly reduced if the flow is submitted to global…

流体动力学 · 物理学 2017-06-28 Kannabiran Seshasayanan , Vassilios Dallas , Alexandros Alexakis

Is the scaling, \lambda \sim Rm^{1/2}, for the growth rate of small-scale dynamo instability at low magnetic Prandtl numbers and large magnetic Reynolds numbers, Rm, valid in the vicinity of the threshold? Our analysis and even numerical…

流体动力学 · 物理学 2010-12-14 Nathan Kleeorin , Igor Rogachevskii

We demonstrate that there is an optimal forcing length scale for low Prandtl number dynamo flows, that can significantly reduce the required energy injection rate. The investigation is based on simulations of the induction equation in a…

流体动力学 · 物理学 2016-02-24 Mira Sadek , Alexandros Alexakis , Stephan Fauve

We consider rotating, kinematic dynamos at low magnetic Prandtl number $Pm$. We show that the inclusion of rotation leads to an increase in spatio-temporal coherence and a modification of the turbulent spectrum. These effects make the flow…

流体动力学 · 物理学 2018-11-06 Vassilios Dallas , Steve Tobias

The first galaxies form due to gravitational collapse of primordial halos. During this collapse, weak magnetic seed fields get amplified exponentially by the small-scale dynamo - a process converting kinetic energy from turbulence into…

We perform numerical experiments to study the shear dynamo problem where we look for the growth of large--scale magnetic field due to non--helical stirring at small scales in a background linear shear flow, in previously unexplored…

星系天体物理 · 物理学 2015-09-16 Nishant K. Singh , Naveen Jingade

Small-scale dynamos are ubiquitous in a broad range of turbulent flows with large-scale shear, ranging from solar and galactic magnetism to accretion disks, cosmology and structure formation. Using high-resolution direct numerical…

太阳与恒星天体物理 · 物理学 2018-02-13 Nishant K. Singh , Igor Rogachevskii , Axel Brandenburg