Title: Dark Energy in the Solar Corona
 1Dark Energy in the Solar Corona
LMSAL, January 31, 2002 
 2Dark energy in the solar corona 
- Not the "dark energy" of the cosmos, but B! 
- MHD equilibrium 
- Imperturbable compact event 
- Imperturbable cusp 
- Two CMEs 
- Blow-out of LPS 
3 The corona is surprisingly stable. What is 
the nature of this equilibrium? 
 4The corona exhibits a "stick-slip" variability, 
as shown on any GOES plot 
 5The open fraction of coronal field lines (v. 
roughly the area of the coronal holes) remains 
approximately constant 
 6REMARKS
A. There isn't much braiding observed in 
quiet-Sun magnetic fields (K. Schrijver, 2001)
B. Predictions of the solar wind are happy with a 
potential field source-surface model
C. So how does energy build-up happen? 
 7Imperturbability on a compact scale 
Flares often involve multiple loops that dont 
appear to touch. One loop brightening (pressure 
pulse) usually doesnt affect its neighbors 
 geometrically. Sorry not to have any good 
examples readily at hand. 
 8Imperturbability on a large scale 
The same principle applies - often the distant 
corona ignores what looks to us like a titanic 
explosion. Excellent example from June 6-7, 
2000 (see APOD). 
 9A beautiful coronal cusp resulting from a 
flare/CME on June 6, 2000 
 10The GOES time history for June 6-7, 2000 
 11Oooops
Before After 
 12100 DN 
500 DN
153623 minus 145227 UT
Remember the movie! 
 13Measurement results
Measurement geometry 
 14Solar wind radial field lines
Source Surface
Corona force-free field
Photosphere
Minimal model for a CME initial 
conditions 
 15Radial field
Source Surface
FF
FF
Photosphere
Minimal model for a CME a flare has 
happened! 
 16Minimal model of a CME
- A force-free coronal equilibrium interfaces to a 
 radial field in the solar wind, initially.
- A flare happens and a CME opens a large new 
 swathe of field lines.
- The MHD equilibrium prior should adjust to a new 
 equilibrium state outside the CME.
- We dont see this happening.
17How massive is the corona?
1. Total magnetic energy  1034 ergs, hence 
a major CME is a 1 effect. 2. A major CME 
occupies 1 steradian hence a major CME is a 
10 effect. 3. In any case there should be a 
local effect on the equilibrium. 
 18Seemingly identical interplanetary CMEs can have 
very different coronal origins. 
 19Impulsive flare North of equator Filament Dimming
Giant arcade South of equator Filament No dimming 
 20Ulysses ICME observations (Gosling et al., 1994)
1
2 
 21Inferences
- The solar-wind structures resulting from a CME 
 may have little to do with the coronal structure
 causing it.
- The energy involved is hard to trace, because the 
 dominant term is the coronal B field, especially
 if it is low b.
22An exception to prove the rulethe disruption of 
a post-flarearcade - v. unusual 
 23FFIs first... 
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 25Dark energy in the solar corona
- Apparently great perturbations can occur without 
 disrupting the basic equilibrium of the corona.
- Great perturbations often do not permanently 
 displace nearby coronal structures.
- Extremely different solar perturbations can cause 
 nearly identical ICMEs.
- The bottom line coronal MHD equilibrium is not 
 easy to understand intuitively.
26Once again, Ive managed to give a talk, the main 
point of which is that I dont understand what is 
going on... 
 27(No Transcript)