1、The quantitative analysis of the spiral chirality of penumbral filament,1,Helicity Thinkshop on Solar Physics, Oct. 2013, Beijing,Liu J.H. , Su J.T. et al.Shijiazhuang University Key Laboratory of Solar Activity, NAOC,Outlines,1. Background of penumbral filament(fibrals) and Screw pinch instability2
2、. Unwinding and twist change in penumbral filaments (Su et al. 2010, ApJ, 710, 170);3. Screw pinch instability and penumbral filaments charality;4. Screw pinch instability and a C2.6 flare.,1. Background of penumbral filaments(fibrals),Uncombed model: It takes the penumbra as a collection of horizon
3、tal flux tubes in a more vertical background field. (Solanki & Motavon 1993).,Gap model: A field-free model which takes the filaments as the non-magnetized convecting hot gas protruding into the background of potential magnetic fields. (Spruit and Scharmer 2006; Scharmer and Spruit 2006).,By studyin
4、g the expasion, unwinding, shrinking, twisting motion of the penumbral filament, Su et al. consider that the penumbral filaments are the twisted magnetic flux tubes in nature. (Su et al. 2010),There are two schematic models are intensely studied regarding the origin of the penumbral filaments.,4,pit
5、ch :the distance in which the field line makes one revolution around the flux tube, is,R is the radius of the flux tube and L is its length. (Priest 1984, Ryutova et al. 2008),“screw pinch” configuration Long, magnetic cylindrical flux tubes are subject to helical instabilities, and a magnetic flux
6、tube with both azimuthal and axial components twists into a kinked helical shape.,Background of Screw pinch instability,5,Safty factor:,The screw pinch instability turns on when the safety factor is,Screw pinch instability,6,(h/R) 2.62, the magnetic field components preserve their initial direction
7、and chirality.2. 1.63 (h/R) 2.62, the axial magnetic field reverses but the chirality of the filament remains the same.3. 1.14 1.63, the chirality of the filament remains the same.1.14(h/R) 1.63, the chirality of the filament reverse. (h/R) 1.14, very strong twist, will lead to disruption of the fil
8、ament.,2. Unwinding and twist change in penumbral filaments,Twist from right- to left-handedness,G-band images of AR NOAA 10930，red frame mark the position where the penumbra filament studied, A right-handed filament expanding and unwinding, a left-handed filament come into being, shrinking and twis
9、ting .,Su et al. 2010, ApJ, 710, 170,Using the Space-time image, the screw pitch can be deduced (Su et al. 2010):,Considering the penumbral filaments as twisted flux in nature, the charality development and reversal, the unwinding and twisting motion of the penumbral filaments, connecte with the Scr
10、ew pinch instability. So does the flare.High resolution observing evidences and quantitative analysis are shown as following.,Quantitative analysis on the relationship between Screw pinch instability and penumbral filaments charality, and flare,11,Expansion and unwinding stage: right-handed twist,Te
11、mporal development of the G-band images SOT/Hinode.,3. Screw pinch instability and penumbral filaments charality,12,h/R and h/L: on expansion and unwinding stage,11:4813:27 UT Dec 101.14(h/R) 1.63, the chirality of the filament remains the same.,This is consistent with the theory of Ryutova et al. 2
12、008.,The decreasing trend of h/R reveals the twisting motion of the punumbra filament.,The decreasing trend of h/L imply that, along with the twisting motion, the instability increase.,15,4. Screw pinch instability and a C2.6 flare,Safety factor: h/L1 (ratio of pintch to length) instability (Ryutova
13、 et al. 2008)Taking the distance between two nearby bright point in the G-band images as the estimated screw pitch:From 04:23UT to 5:07 UT of Dec. 11h_estimate=17541036 Km and L1322Km, h/L=1.330.78, a C2.6 flare occurred at 05:13 UT.,At 5:07 UT Dec 11Safty factor h/L=0.781,11-DEC, 05:08- -05:17- 05:
14、23, C2.6,Probably the flare is triggered by the turning on of the screw pitch instability,Initial bright point is located at the PIL region of the penumbral filament,Sumarry,The temporal development and the changes of punumbral filament chirality can be studied quantitatively through the screw pitch
15、 instability, h/R, h/L, which is consistent with the theory of Ryutova et al. 2008. The decreasing/increasing trend of h/R reveals the twisting/unwinding motion of the punumbra filament.The decreasing/increasing trend of h/L imply that, along with the twisting/unwinding motion, the instability increase/decrease.The screw pitch instability may probably responsible for the onset of the C2.6 flare.,17,18,Thanks!,
