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Using numerical simulations at moderate magnetic Reynolds numbers up to 220 it is shown that in the kinematic regime, isotropic helical turbulence leads to an alpha effect and a turbulent diffusivity whose values are independent of the…

天体物理学 · 物理学 2008-03-10 Sharanya Sur , Axel Brandenburg , Kandaswamy Subramanian

The backreaction of the Lorentz force on the alpha-effect is studied in the limit of small magnetic and fluid Reynolds numbers, using the first order smoothing approximation (FOSA) to solve both the induction and momentum equations. Both…

天体物理学 · 物理学 2008-11-26 Sharanya Sur , Kandaswamy Subramanian , Axel Brandenburg

We generalize the derivation of dynamo coefficient $\alpha$ of Field et al (1999) to include the following two aspects: first, the de-correlation times of velocity field and magnetic field are different; second, the magnetic Prandtl number…

天体物理学 · 物理学 2009-10-31 Hongsong Chou

The aim of this paper is to give a result concerning the stability properties of the solutions of magnetohydrodynamics equations at small but finite Reynolds numbers. These solutions are found using the alpha-effect: this method gives us…

偏微分方程分析 · 数学 2012-03-07 Ismaël Bouya

Fluctuations of the alpha-effect which break equatorial symmetry of the flow in the kinematic Parker's dynamo are considered. We show, that even small (a few percents) fluctuation can leed to the substantial assymmetry of the magnetic field…

流体动力学 · 物理学 2011-10-03 M. Reshetnyak , D. Sokoloff

The influence of fluctuating conductivity on the coefficients known from the mean-field electrodynamics is considered. If the conductivity fluctuations are assumed as uncorrelated with the turbulent velocity field then only the effective…

等离子体物理 · 物理学 2020-07-15 G. Rüdiger , M. Küker , P. J. Käpylä

In systems where the standard $\alpha$ effect is inoperative, one often explains the existence of mean magnetic fields by invoking the `incoherent $\alpha$ effect', which appeals to fluctuations of the mean kinetic helicity at a mesoscale.…

太阳与恒星天体物理 · 物理学 2023-10-24 Kishore Gopalakrishnan , Nishant Singh

At the heart of today's solar magnetic field evolution models lies the alpha dynamo description. In this work, we investigate the fate of alpha-dynamos as the magnetic Reynolds number $Rm$ is increased. Using Floquet theory, we are able to…

流体动力学 · 物理学 2016-11-23 Alexandre Cameron , Alexandros Alexakis

We consider the evolution of arbitrarily large perturbations of a prescribed pure hydrodynamical flow of an electrically conducting fluid. We study whether the flow perturbations as well as the generated magnetic fields decay or grow with…

流体动力学 · 物理学 2021-05-04 Itzhak Fouxon , Joshua Feinberg , Michael Mond

We study magnetic field evolution in flows with fluctuating in time governing parameters in electrically conducting fluid. We use a standard mean-field approach to derive equations for large-scale magnetic field for the fluctuating ABC-flow…

天体物理学 · 物理学 2009-11-13 N. Kleeorin , I. Rogachevskii , D. Sokoloff , D. Tomin

Estimates for the nonlinear alpha effect in helical turbulence with an applied magnetic field are presented using two different approaches: the imposed-field method where the electromotive force owing to the applied field is used, and the…

太阳与恒星天体物理 · 物理学 2009-11-13 A. Hubbard , F. Del Sordo , P. J. Käpylä , A. Brandenburg

We consider the backreaction of the magnetic field on the magnetic dynamo coefficients and the role of boundary conditions in interpreting whether numerical evidence for suppression is dynamical. If a uniform field in a periodic box serves…

天体物理学 · 物理学 2009-10-31 Eric G. Blackman , George B. Field

We investigate the interaction of a fluctuating alpha-effect with large-scale shear in a simple nonlinear 1-dimensional dynamo wave model. We firstly extend the calculations of Proctor (2007, MNRAS, 41, L39-L42) to include spatial variation…

太阳与恒星天体物理 · 物理学 2015-05-20 K. J. Richardson , M. R. E. Proctor

We are concerned with large scale magnetic field dynamo generation and propagation of magnetic fronts in turbulent electrically conducting fluids. An effective equation for the large scale magnetic field is developed here that takes into…

天体物理学 · 物理学 2009-11-06 Sergei Fedotov , Alexey Ivanov , Andrey Zubarev

The mean electromotive force and alpha effect are computed for a forced turbulent flow using a simple nonlinear dynamical model. The results are used to check the applicability of two basic analytic ansatze of mean-field…

天体物理学 · 物理学 2009-01-25 V. V. Pipin , M. R. E. Proctor

A numerical model of isotropic homogeneous turbulence with helical forcing is investigated. The resulting flow, which is essentially the prototype of the alpha^2 dynamo of mean-field dynamo theory, produces strong dynamo action with an…

天体物理学 · 物理学 2010-04-06 Axel Brandenburg

In a recent paper (Phys. Rev. Lett. 94 (2005), 184506; physics/0411050) it was shown that a simple mean-field dynamo model with a spherically symmetric helical turbulence parameter alpha can exhibit a number of features which are typical…

地球物理 · 物理学 2007-05-23 Frank Stefani , Gunter Gerbeth , Uwe Guenther , Mingtian Xu

The coupled equations that describe the effect of large-scale magnetic and velocity fields on forced high-diffusivity magnetohydrodynamic flows are investigated through an extension of mean field electrodynamics. Our results generalise…

太阳与恒星天体物理 · 物理学 2015-05-18 A. Courvoisier , D. W. Hughes , M. R. E. Proctor

The current understanding of astrophysical magnetic fields is reviewed, focusing on their generation and maintenance by turbulence. In the astrophysical context this generation is usually explained by a self-excited dynamo, which involves…

天体物理学 · 物理学 2008-11-26 Axel Brandenburg , Kandaswamy Subramanian

Solar magnetic fields comprise an 11-year activity cycle, represented by the number of sunspots. The maintenance of such a solar magnetic field can be attributed to fluid motion in the convection zone, i.e. a dynamo. This study conducts the…

太阳与恒星天体物理 · 物理学 2022-08-24 Ryota Shimada , Hideyuki Hotta , Takaaki Yokoyama
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