A Shallow Solar Dynamo and Decadal Forecasting

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A Shallow Solar Dynamo and Decadal Forecasting Kenneth H. Schatten, ai-solutions To discuss at meeting, speak with Leif Svalgaard, or email author at ken.schatten@ai-solutions.com (Ken is home recovering from torn rotator cuff.) Thanks to colleagues: Mayr, Pesnell, Scherrer, S and UJ Sofia, Svalgaard, Wilcox, and others.

Shallow Dynamo, Forecasting, Solar Min. 1. Shallow Solar Dynamo Novel ideas about location of Dynamo; Relates to accumulation of EPRs (Ephem. Regions) via percolation = strain/filter; toroidal B like Babcock-Leighton 2. Decadal Forecasting Uses Polar Field near Minimum to predict size of cycle small - small 3. Recent Solar Minimum -- Weak Polar B, SLOW RISE of cycle #24, and extended Min. Polar B is just remnant of cycle #23 detritus Flotsam and Jetsam

Shallow Solar Dynamo - Percolation Introduction and Overview Ion Hurricane Mechanism In- & Down-flows below spots gather neutral H & field below spots. Similar to how water vapor is gathered into clouds in the outer vortex of a terr. hurricane. Lockheed Group s view of Ephemeral Active Regions (EPRs), (X-ray Bright Points) and the Corona Percolation EPRs may gather into spots, under special conditions high S and large horizontal B. The Solar Dynamo & Cellular Automata Modeling 3

Introduction Percolation comes from Percolare to Filter/Strain may also be called clustering gathering together. Act. Region Percolation began with Seiden & Wentzel. Ruzmaikin said magnetic field clusters. Brandenburg also considered a shallow solar dynamo. Overall, our Model represents a non-linear magnification of small scale fields near the Sun s surface to gather (percolate) to form Active Regions. Toroidal (Babcock-Leighton) fields are formed by Differential Rot. of Poloidal field. This subsurface B-L Field helps percolation to form AR s; when they break up, they migrate towards the poles (FLOTSAM and JETSAM), and opposite polar fields then regenerate. 4

Overview LARGE FIELDS RESULT WHEN LIKE-SIGN EPR Bs GATHER & DIFFUSE: INVERSE CASCADE B FIELDS MOVE ON THE SUN S SURFACE DRIVEN BY SUBSURFACE MAG. FORCES, MERID. FLOW + D.ROT: NOT SOLELY DIFFUS. B IS BUOYANT: EVADES DESCENDING HOW FIELDS FORM SPOTS AND FACULAE ROLE OF S TO ACTIVE REGIONS, FIELD, ETC. MODELING EFFORTS: CELLULAR AUTOMATA 5

Schatten & Mayr: Shallow Surface Layers: S large; latent energy (H to H + ) available; convective collapse (Zwaan,Parker) occurs/process allows field to form spots. 6

Lockheed Group-Magnetic Carpet: EPRs Conv. Collapse of Fibrils: Percolation PHOTOSPHERE Field remains shallow 12/2008 EIT/SOHO EXTREME UV IMAGING Flow can go DEEP! FLOWLINES FIELD LINES 7

SUPERADIABATIC PERCOLATION B-L field B-L field B-L field 8

Babcock- Leighton Field Babcock- Leighton Field

3D VIEW:Shallow Dynamo-B moves by B TENSION (=mb), not diffusion 10

11

New Region: Like Fields Move Together (White=>White)

Large Scale Modeling and Observations (Ulrich and Boyden) 13

400 & 100 Year Modeling 14

Solar Activity Prediction Methods METHOD: Solar-Precursor method uses the Sun s polar field to predict future solar activity OTHER: CLIMATOLOGY (average solar activity) RECENT CLIMATOLOGY (recent average) GEO-MAGNETIC PRECURSOR (GEO Field Vars.: PROXY of Solar Field) DYNAMO MODELS (mean field, model dependent) NEURAL NETWORK (numerical) SPECTRAL (numerical, unphysical)

Polar Field Precursor Method DOES NOT DEPEND ON SHALLOW VS DEEP SOURCE OF DYNAMO. BABCOCK-LEIGHTON ORIGINAL VIEW WAS SHALLOW DYNAMO MOVED TO BOTTOM CZ BOTH: POLAR B =>TOROIDAL B and TOROIDAL B => POLAR B Babcock- Leighton Field Babcock- Leighton Field Babcock- Leighton Field

How Active Will Solar Cycle 24 Be? PESNELL : Our lack of knowledge about the dynamo is summarized by the spread of predictions for Cycle 24

Solar Activity Observations: PREDICTION DIFFICULT International/Zurich Sunspot Number vs. Year 200 180 160 International Sunspot Number 140 120 100 80 60 40 20 1 2 3 4 51 6 7 8 9 10 11 12 13 14 155 16 17 18 19 20 21 22 23 0 1700 1750 1800 1850 1900 1950 2000 Time, Years

GEOMAGNETIC PRECURSORS: An offshoot since Polar Field affects Interplan. Field & Earth KANE 19

Polar Field Precursor Predictions F10.7 Observations and Predicts 350 300 250 Radio Flux, F10.7 200 150 Observations 100 Observations # 21 # 22 Predicted in Advance # 23 # 24 50 Schatten et al. Predicted in advance 0 1940 1950 1960 1970 1980 1990 2000 2010 2020 2030 Year

Polar Field Shows Marked Decrease in 2003+, which is why we and Svalgaard predicted small cycle in 2005

300 250 Observed and Predicted Radio Flux, F10.7 Observed Radio Flux ALL predictions in advance updated timing;2/2010 F10.7 RADIO FLUX 200 150 100 #21 #22 #23 #24 Timing Uncertainty 50 0 1970 1975 1980 1985 1990 1995 2000 2005 2010 2015 2020 2025 TIME, YEARS

Conclusions Shallow Dynamo may be possible via percolation or clustering; in the highly superadiabatic regions of the outer solar CZ, Like-Sign Field are attracted by nonlinear processes driven by S., etc. [Sol. Phys., 255:3-38,2009] Cellular Automata able to mimic features of Solar Dynamo Solar predictions based on polar fields Have predicted a small cycle ~125 in F10.7 or ~75 Rz, PEAK ~ Early 2013. [GRL- 32, L21106 (2005)].