Determining the Heating Rate in Reconnection Formed Flare Loops Wenjuan Liu 1, Jiong Qiu 1, Dana W....
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Transcript of Determining the Heating Rate in Reconnection Formed Flare Loops Wenjuan Liu 1, Jiong Qiu 1, Dana W....
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Determining the Heating Rate in Reconnection Formed Flare Loops
Wenjuan Liu1, Jiong Qiu1, Dana W. Longcope1, Amir Caspi2,
Courtney Peck2 , Jennifer O'Hara3
1.Department of Physics, Montana State University2.LASP, University of Colorado3.School of Mathematics and Statistics, University of St Andrews
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OutlineMotivation
How much energy is used to heat individual flare loops?
Methods (a few thousand loops) Constructing heating rate from UV light curves at foot points
Modeling plasma evolution in each flare Loop with EBTEL
Results synthetic soft X-ray and EUV emissions from the loops
synthetic UV emissions from the foot points during the decay phase
Discussions and Conclusions
The synthetic light curves and spectra agree well with the obs.
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Motivation-from reconnection to flare emission
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flare foot points and loops (observable)
Magnetic reconnection
energy release/transport (not known in details)
Link: heating rate in individual loops
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Methods-constructing the heating rate
For each flare loop, the heating rate (H) is proportional to the impulsive rise of UV 1600 emission at its foot point
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cooling
heating
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Methods-calculating plasma evolution
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EBTEL (Klimchuk 2008,
Cargill 2012) model
plasma properties in a few
thousand loops
coronal DEM (>1 MK)
pressure gauge (Fisher 1987)
transition region DEM (0.1~1
MK) during the decay
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Methods-Comparing with observed total radiation
Instrument Temperature (MK)
RHESSI >10
EVE 2~10
AIA (EUV bands) 2~10
AIA (UV bands)TRACE (UV bands)
~0.1
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Application-2005 May 13 flare
Overview of the flare
• M8.0 flare, obs. by RHESSI and TRACE
• 5127 loops with cross section area of 1” x 1”
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Length of half-loop (Mm): 33 – 65
Max heating rate in individual loops (ergs/s): 2.4x1024 – 5.7x1025
Duration of heating (s):13 – 131
Total heating energy (erg): 1.22×1031
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Results-Comparison with RHESSI
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Obs.Model
light curves in 3-6, 6-12, 12-25 keV
(details see Liu et al. 2013 ApJ, 770,111 )
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Application-2011 March 7 flare
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Length of half-loop (Mm): 40-60
Max heating rate in individual loops (ergs/s): 7.4x1023 – 1.3x1025
Duration of heating (s):13 – 131
Total heating energy (erg):4.64x1030
Overview of the flare
• M1.7 flare, obs. by AIA and EUV
• 3057 loops with cross section area of 1” x 1”
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Results-Comparison of EUV emissions
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T~10 MK T~6.5 MK
AIA 131 AIA 94
EVE 133Fe XX Fe XX III
EVE 94Fe XVIII
Obs.Model
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Results-Comparison of EUV emissions
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T~2.7 MK T~1.9 MK
AIA 335 AIA 211
EVE 335Fe XVI
EVE 211Fe XIV
Obs.Model
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• UV 1600 bands is dominated by C IV emission
• C IV line is optically thin transition region line
• The transition region DEM is given from the “pressure gauge” (Fisher 1987) ,when
In the transition region, the conduction is balanced by radiation
the pressure does not vary with height
Results-Comparison with UV light curves at the decay phase
( )DEM T P
12The calculated CIV flux decays at the same rate as observed
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Discussions and Conclusions
We use the impulsive rise of UV light curves at the foot points to construct the heating rates in a few thousand loops, and calculate plasma properties of these loops
The synthetic coronal emission and decay-phase C IV emission from the model agree with the obs. very well
The method gives an estimate of total energy (lower limits): 1.22×1031 for the M8.0 flare and 4.64x1030 for the M1.7 flare
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Reference
Fisher, G. H. 1987, ApJ, 317, 502
Fletcher, L., Pollock, J., Potts, H. E., 2004, Solar Physics, 222, 279
Hawley, S. L., & Fisher, G. H. 1992, ApJS, 78, 565
Klimchuk, J. A., Patsourakos S., and Cargill P. J. 2008, ApJ, 682, 1351
Liu, W-J, Qiu, J., Longcope, D. W., Caspi, A. 2013, ApJ, 770, 111
Longcope, D.W., DesJardins, A. C., Carranza-Fulmer, T., Qiu, J., 2010, Solar Physics, 267, 107
Qiu, J., Liu, W.-J., Longcope, D. W. 2012 ApJ, 752, 124
Qiu, J., Liu, W-J., Hill, N., Kazachenko, M. 2010, ApJ, 565, 1335
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Results-Distribution of peak temperature and density for over 5000 flux tubes
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2
2
( )
( ) + = exp (ergs/s/pixel)
2
w/ constraints :
(ergs/s)
= 1 (ergs)
where,
: discrete total
ii i i i i
i
i non thermal RHESSI
i c tr tr GOES
i
t tH Q L C
R
Hdt H dt R R dt R dt
H
energy (heating) flux for the th loop;
: volumetric ad-hoc heating rate for the th loop; : length of the th loop;
: energy flux evaporated to the corona by non-thermal for the ti i
i
i
Q i L i
i h loop;
/ ; , : corona and transition region radiation rates;
: UV peak count rate; : peak time; : rise time (FWHM);
, : scaling factors from best fit, wh
i i i c tr
i i i
tr
H R R
C t
ich are universal for all the loops.
Methods-Construct the heating rate
Temporally and spatially resolvedDetermined by UV and HXR observations
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Methods- loop evolution with EBTEL model
2 20
3 3
2 1 energy conservation
3
mass conservation5 5
2 ideal gas law
where,
i ii c tr i
i i
itr ii
i i i i
i B i
dPQ R R
dt L L
dn c cF R
dt c kLT c kLT
P k nT
, , : average pressure, density and temperature of the th loop
: volumetric ad-hoc heating rate for the th loop, construced from UV obs. ;
: length of the th loop;
i i i
i
i
P n T i
Q i
L i
:
2
1
0
: energy flux evaporated to the corona by non-thermal for the th loop;
( ) : corona radiation rate;
: loss rate through transition region; / ;
: conduction fl
i
c
tr tr c
i
R n T
R R R c
F
2 3ux 0.87; 0.5c c 20
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Methods- loop evolution with EBTEL model
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AIA response function vs. EVE line contribution function
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