Nonlinear mechanisms that regulate the solar cycle amplitude

Abstract

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 nonlinear mechanisms in the framework of the Babcock-Leighton-type dynamo. Sunspot emergences show systematic properties that strong cycles tend to have higher mean latitudes and lower tilt angle coefficients. We use the surface flux transport model to investigate the effect of these systematic properties on the expected final total dipolar moment, i.e. cancellation plus generation of dipole moment by a whole solar cycle. We demonstrate that the systematic change in latitude has similar nonlinear feedback on the solar cycle (latitudinal quenching) as tilt does (tilt quenching). Both forms of quenching lead to the expected final total dipolar moment being enhanced for weak cycles and being saturated to a nearly constant value for normal and strong cycles. This explains observed long-term solar cycle variability, e.g., the Gnevyshev-Ohl rule, which, in turn, justifies the nonlinear mechanisms inherent in the Babcock-Leighton-type dynamo.

15 pages, 4 figures, Accepted for publication in ApJ

References in corpus (34)

• The Solar Cycle
• Revisiting the Sunspot Number
• Sunspot group tilt angles and the strength of the solar cycle
• Flux-transport dynamos with Lorentz force feedback on differential rotation and meridional flow: Saturation mechanism and torsional oscillations
• The Sun's Global Photospheric and Coronal Magnetic Fields: Observations and Models
• The crucial role of surface magnetic fields for the solar dynamo
• Solar Cycle Propagation, Memory, and Prediction: Insights from a Century of Magnetic Proxies
• Magnetic Flux Transport at the Solar Surface
• The unusual minimum of sunspot cycle 23 a consequence of Sun's meridional plasma flow variations
• Effects of the scatter in sunspot group tilt angles on the large-scale magnetic field at the solar surface
• Surface flux transport modeling for solar cycles 15--21: effects of cycle-dependent tilt angles of sunspot groups
• Calibrating 100 Years of Polar Faculae Measurements: Implications for the Evolution of the Heliospheric Magnetic Field
• Visualization of the challenges and limitations of the long-term sunspot number record
• The solar magnetic field since 1700: I. Characteristics of sunspot group emergence and reconstruction of the butterfly diagram
• Predictability of the solar cycle over one cycle
• The cause of the weak solar cycle 24
• The origin of grand minima in the sunspot cycle
• Solar Cycle Variability Induced by Tilt Angle Scatter in a Babcock--Leighton Solar Dynamo Model
• The Effect of "Rogue" Active Regions on the Solar Cycle
• Recovering Joys Law as a Function of Solar Cycle, Hemisphere, and Longitude
• A 3D Babcock-Leighton Solar Dynamo Model
• Modeling Solar Cycles 15 to 21 Using a Flux Transport Dynamo
• A Double-Ring Algorithm for Modeling Solar Active Regions: Unifying Kinematic Dynamo Models and Surface Flux-Transport Simulations
• Comparing Simulations of Rising Flux Tubes Through the Solar Convection Zone with Observations of Solar Active Regions: Constraining the Dynamo Field Strength
• Does the Babcock--Leighton Mechanism Operate on the Sun?
• A coupled $2\times 2$D Babcock-Leighton solar dynamo model. II. Reference dynamo solutions
• Observation and Modeling of the Solar-Cycle Variation of the Meridional Flow
• Understanding solar cycle variability
• Fluctuations in the Alpha-Effect and Grand Solar Minima
• How many active regions are necessary to predict the solar dipole moment?
• Latitude Distribution of Sunspots: Analysis Using Sunspot Data and A Dynamo Model
• Transport of toroidal magnetic field by the meridional flow at the base of the solar convection zone
• Optimization of surface flux transport models for the solar polar magnetic field
• Inflows towards active regions and the modulation of the solar cycle: a parameter study

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• Models for the long-term variations of solar activity
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• Long-term modulation of solar cycles
• Physical Models for Solar Cycle Predictions
• The polar precursor method for solar cycle prediction: comparison of predictors and their temporal range
• Dynamo saturation through the latitudinal variation of bipolar magnetic regions in the Sun
• Sunspot tilt angles revisited: Dependence on the solar cycle strength
• a dynamo-based prediction of solar cycle 25
• Comparison of physics-based prediction models of solar cycle 25
• Role of observable nonlinearities in solar cycle modulation
• Toroidal flux loss due to flux emergence explains why solar cycles rise differently but decay in a similar way
• Dynamo modelling for cycle variability and occurrence of grand minima in Sun-like stars: Rotation rate dependence
• Supercriticality of the dynamo limits the memory of the polar field to one cycle
• Algebraic quantification of an active region's contribution to the solar cycle
• Modeling effects of starspots on stellar magnetic cycles
• Minimal Roles of Solar Subsurface Meridional Flow in the distributed-shear Babcock-Leighton Dynamo
• On the origin of long-term modulation in the Sun's magnetic activity cycle
• Role of sunspot latitude versus tilt in determining the polar field and amplitude of the next cycle: Cause of the weak Solar Cycle 20
• Observation-Based Iterative Map for Solar Cycles. I. Nature of Solar Cycle Variability
• Relationship Between the Tilt Angle of Sunspot Group and the Properties of the Next Solar Cycle
• Effect of Nonlinear Surface Inflows into Activity Belts on Solar Cycle Modulation
• The rush to the poles and the role of magnetic buoyancy in the solar dynamo
• Solar Cycle Prediction: Challenges, Progress, and Future Perspectives
• Constraining the outer boundary condition for the Babcock-Leighton dynamo models
• Narrowing the solar surface flux transport parameter space through nonlinear feedbacks
• Can meridional flow variations explain the observed rising/declining phase asymmetry in the solar cycle?
• Low-Latitude Sunspot Group Tilt Angles in 15-24 Activity Cycles