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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

Synchronisation and stability under periodic oscillatory driving are well-understood, but little is known about the effects of aperiodic driving, despite its abundance in nature. Here, we consider oscillators subject to driving with slowly…

适应与自组织系统 · 物理学 2018-05-09 Maxime Lucas , Julian Newman , Aneta Stefanovska

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

It is shown that the turbulent dynamo $\alpha$-effect converts magnetic helicity from the turbulent field to the mean field when the turbulence is electromagnetic while the magnetic helicity of the mean-field is transported across space…

天体物理学 · 物理学 2008-11-26 Hantao Ji

Convectively driven dynamos with rotation generating magnetic fields on scales large compared with the scale of the turbulent eddies are being reviewed. It is argued that such fields can be understood as the result of an alpha effect.…

太阳与恒星天体物理 · 物理学 2011-08-19 A. Brandenburg , P. J. Käpylä , M. J. Korpi

A number of problems of solar and stellar dynamo theory are briefly reviewed and the current status of possible solutions is discussed. Results of direct numerical simulations are described in view of mean-field dynamo theory and the…

天体物理学 · 物理学 2007-05-23 Axel Brandenburg

Using the non-linear mean-field dynamo models we calculate the magnetic cycle parameters, like the dynamo cycle period, the amplitude of the total magnetic energy, and the Poynting flux luminosity from the surface for the solar analogs with…

太阳与恒星天体物理 · 物理学 2021-01-27 V. V. Pipin

We consider the nonlinear Duffing oscillator in presence of fractional damping which is characteristic in different physical situations. The system is studied with a smaller and larger damping parameter value, that we call the underdamped…

混沌动力学 · 物理学 2024-03-18 Mattia Coccolo , Jesús M. Seoane , Stefano Lenci , Miguel A. F. Sanjuán

The adiabatic criterion, widely used in astronomical dynamics, is based on the harmonic oscillator. It asserts that the change in action under a slowly varying perturbation is exponentially small. Recent mathematical results precisely…

天体物理学 · 物理学 2009-10-22 Martin D. Weinberg

Global and semi-global convective dynamo simulations of solar-like stars are known to show a transition from an anti-solar (fast poles, slow equator) to solar-like (fast equator, slow poles) differential rotation (DR) for increasing…

太阳与恒星天体物理 · 物理学 2019-11-25 M. Viviani , M. J. Käpylä , J. Warnecke , P. J. Käpylä , M. Rheinhardt

Dynamical studies of MHD turbulence on the one hand, and arguments based upon magnetic helicity on the other, have yielded seemingly contradictory estimates for the $\alpha$ parameter in turbulent dynamo theory. Here we show, with direct…

天体物理学 · 物理学 2007-05-23 Hongsong Chou , George B. Field

Context: Most solar and stellar dynamo models use the alpha-Omega scenario where the magnetic field is generated by the interplay between differential rotation (the Omega effect) and a mean electromotive force due to helical turbulent…

太阳与恒星天体物理 · 物理学 2009-12-08 N. Seehafer , V. V. Pipin

Context: Large-scale magnetic fields resulting from hydromagnetic dynamo action may differ substantially in their time dependence. Cyclic field variations, characteristic for the solar magnetic field, are often explained by an important…

太阳与恒星天体物理 · 物理学 2015-05-27 M. Schrinner , L. Petitdemange , E. Dormy

Magnetic helicity is nearly conserved and its evolution equation provides a dynamical feedback on the alpha effect that is distinct from the conventional algebraic alpha quenching. The seriousness of this dynamical alpha quenching is…

天体物理学 · 物理学 2022-09-21 A. Brandenburg

We supplement the mean field dynamo growth equation with the total magnetic helicity evolution equation. This provides an explicitly time dependent model for alpha quenching in dynamo theory. For dynamos without shear, this approach…

天体物理学 · 物理学 2009-11-07 Eric G. Blackman , Axel Brandenburg

At large magnetic Reynolds numbers, magnetic helicity evolution plays an important role in astrophysical large-scale dynamos. The recognition of this fact led to the development of the dynamical alpha quenching formalism, which predicts…

太阳与恒星天体物理 · 物理学 2012-03-08 Alexander Hubbard , Axel Brandenburg

We provide a theory of dynamo ($\alpha$ effect) and momentum transport in three-dimensional magnetohydrodynamics. For the first time, we show that the $\alpha$ effect is severely reduced by the shear even in the absence of magnetic field.…

流体动力学 · 物理学 2008-06-12 Nicolas Leprovost , Eun-Jin Kim

Suitable gauge conditions are fundamental for stable and accurate numerical-relativity simulations of inspiralling compact binaries. A number of well-studied conditions have been developed over the last decade for both the lapse and the…

广义相对论与量子宇宙学 · 物理学 2010-12-06 Daniela Alic , Luciano Rezzolla , Ian Hinder , Philipp Mösta

We study axisymmetric mean-field dynamo models containing differential rotation, the $\alpha$ effect and the additional turbulent induction effects. The additional effects result from the combined action of rotation and an inhomogeneity of…

天体物理学 · 物理学 2009-01-25 V. V. Pipin , N. Seehafer

A synthetic fluid dynamo built in the spirit of the Bullard device [E. C. Bullard, Proc. Camb. Phil. Soc., 51, 744 (1955)] is investigated. It is a two-step dynamo in which one process stems from the fluid turbulence, while the other part…