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Understanding and predicting solar-cycle variability requires accounting for nonlinear feedbacks that regulate the buildup of the Sun's polar magnetic field. We present a simplified but physically grounded algebraic approach that models the…

Solar and Stellar Astrophysics · Physics 2025-11-06 Mohammed H. Talafha

We compare two candidate nonlinearities for regulating the solar cycle within the Babcock-Leighton paradigm: tilt quenching (whereby the tilt of active regions is reduced in stronger cycles) and latitude quenching (whereby flux emerges at…

Solar and Stellar Astrophysics · Physics 2024-12-04 Anthony R. Yeates , Luca Bertello , Alexander A. Pevtsov , Alexei A. Pevtsov

Converging flows are visible around bipolar magnetic regions (BMRs) on the solar surface, according to observations. Average flows are created by these inflows combined, and the strength of these flows depends on the amount of flux present…

Solar and Stellar Astrophysics · Physics 2025-04-07 Mohammed H. Talafha , Kristóf Petrovay , Andrea Opitz

The solar magnetic activity cycle has an amplitude that varies within a wide but limited range of values. This implies that there are nonlinear mechanisms that prevent runaway solutions. The purpose of this paper is to propose observable…

Solar and Stellar Astrophysics · Physics 2020-09-02 Jie Jiang

It is proposed that the observed near-surface inflows towards the active regions and sunspot zones provide a nonlinear feedback mechanism that limits the amplitude of a Babcock-Leighton-type solar dynamo and determines the variation of the…

Solar and Stellar Astrophysics · Physics 2015-06-11 R. H. Cameron , M. Schuessler

The tilt angle of sunspot groups is crucial in the BL type dynamo. Some studies have shown that the tilt coefficient is anti-correlated with the cycle strength. If the anti-correlation exists, it will be shown to act as an effective…

Solar and Stellar Astrophysics · Physics 2021-09-08 Qirong Jiao , Jie Jiang , Zi-Fan Wang

Guided by the recent observational result that the meridional circulation of the Sun becomes weaker at the time of the sunspot maximum, we have included a parametric quenching of the meridional circulation in solar dynamo models such that…

Solar and Stellar Astrophysics · Physics 2012-09-04 Bidya Binay Karak , Arnab Rai Choudhuri

One prominent feature of solar cycle is its irregular variation in its cycle strength, making it challenging to predict the amplitude of the next cycle. Studies show that fluctuations and nonlinearity in generating poloidal field throughout…

Solar and Stellar Astrophysics · Physics 2025-11-10 Bidisha Dey , Anu Sreedevi , Bidya Binay Karak

The Sun shows a wide range of temporal variations, from a few seconds to decades and even centuries, broadly classified into two classes short-term and Long-term. The solar dynamo mechanism is believed to be responsible for these global…

Solar and Stellar Astrophysics · Physics 2023-02-21 Bibhuti Kumar Jha

Solar activity affects the whole heliosphere and near-Earth space environment. It has been reported in the literature that the mechanism responsible for the solar activity modulation behaves like a low-dimensional chaotic system. Studying…

Solar and Stellar Astrophysics · Physics 2017-01-25 M. Stangalini , I. Ermolli , G. Consolini , F. Giorgi

The turbulent magnetic diffusivity in the solar convection zone is one of the most poorly constrained ingredients of mean-field dynamo models. This lack of constraint has previously led to controversy regarding the most appropriate set of…

Solar and Stellar Astrophysics · Physics 2017-01-18 Andrés Muñoz-Jaramillo , Dibyendu Nandy , Petrus C. H. Martens

Some selected concepts for the solar activity cycle are briefly reviewed. Cycle modulations through a stochastic alpha effect are being identified with limited scale separation ratios. Three-dimensional turbulence simulations with helicity…

Solar and Stellar Astrophysics · Physics 2012-07-17 Axel Brandenburg , Gustavo Guerrero

Accurate prediction of the 11-year solar cycle remains a major challenge in solar physics and is important for space weather forecasting. A persistent property of the cycle is its asymmetry: the rise phase is usually much shorter than the…

Solar and Stellar Astrophysics · Physics 2026-02-18 Soumitra Hazra , Allan Sacha Brun , Laurene Jouve

The theory of the solar/stellar activity cycles is presented, based on the mean-field concept in magnetohydrodynamics. A new approach to the formulation of the electromotive force and the theory of differential rotation and meridional…

Astrophysics · Physics 2017-02-22 Günther Rüdiger , Rainer Arlt

Analyses of recent helioseismic data have produced ample evidence for substantial dynamical variation of the differential rotation within the solar convection zone. Given the inevitable difficulties in resolving the precise nature of…

Astrophysics · Physics 2009-11-10 Eurico Covas , David Moss , Reza Tavakol

(abridged) Results from kinematic solar dynamo models employing alpha-effect and turbulent pumping from local convection calculations are presented. We estimate the magnitude of these effects to be around 2-3 m/s. The rotation profile of…

Astrophysics · Physics 2008-11-26 P. J. Käpylä , M. J. Korpi , I. Tuominen

In the non-linear phase of a dynamo process, the back-reaction of the magnetic field upon the turbulent motion results in a decrease of the turbulence level and therefore in a suppression of both the magnetic field amplification (the…

Solar and Stellar Astrophysics · Physics 2009-08-05 G. A. Guerrero , M. Dikpati , E. M. de Gouveia Dal Pino

Using different proxies of solar activity, we have studied the following features of solar cycle. (i) A linear correlation between the amplitude of cycle and its decay rate, (ii) a linear correlation between the amplitude of cycle $n$ and…

Solar and Stellar Astrophysics · Physics 2015-08-06 Gopal Hazra , Bidya Binay Karak , Dipankar Banerjee , Arnab Rai Choudhuri

Aims: We aim to investigate how converging flows towards active regions affect the surface transport of magnetic flux, as well as their impact on the generation of the Sun's poloidal field. The inflows constitute a potential non-linear…

Solar and Stellar Astrophysics · Physics 2016-12-21 David Martin-Belda , Robert H. Cameron

Employing the standard solar interior model as input we construct a dynamically-consistent nonlinear dynamo model that takes into account the detailed description of the \Lambda- effect, turbulent pumping, magnetic helicity balance, and…

Solar and Stellar Astrophysics · Physics 2018-07-31 V. V. Pipin
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