E-Print Archive

There are 4353 abstracts currently viewable.


Advanced Search
Main Page Add New E-Print Submitter
News Help/FAQ About Preferences
Manage Key Phrase
Solar Flare Geometries. II. The Volume Fractal Dimension View all abstracts by submitter

Markus J. Aschwanden   Submitted: 2007-06-06 15:50

Based on the area fractal dimension D2 of solar flares measured in Paper I, we carry out modeling of the 3D flare volume here and derive an analytical relation between the volume fractal scaling V(L) propto LD_3 and the area fractal scaling A(L) propto LD_2. The 3D volume model captures a flare arcade with a variable number of flare loops and its fractal structure is not isotropic, but consists of aligned 1D substructures. The analytical model predicts the scaling of the area filling factor q_A(nloop) and volumetric filling factor q_V(nloop) as a function of the number of loops nloop, and allows to predict the volume filling factor q_V(q_A) and volume fractal dimension D_3(D_2) from the observationally measured parameters qA and D2. We corroborate the analytical model also with numerical simulations. We apply this fractal model to the 20 flares analyzed in Paper I and find maximum volume filling factors with a median range of q_Vapprox 0.03-0.09 (assuming solid filling for loop widths of lapprox 1 Mm). The fractal nature of the flare volume has important consequences for correcting electron densities determined from flare volume emission measures and density-dependent physical quantities, such as the thermal energy or radiative cooling time. The fractal scaling has also far-reaching consequences for frequency distributions and scaling laws of solar and stellar flares.

Authors: Markus J. Aschwanden and Pascal D. Aschwanden
Projects: TRACE

Publication Status: Subm. to ApJ, (June 6, 2007)
Last Modified: 2007-06-07 12:37
Go to main E-Print page  Evidence of Traveling Waves in Filament Threads  Nonlinear force-free modeling of the solar coronal magnetic field.(Review article for CSWM special issue)  Edit Entry  Download Preprint  Submitter's Homepage Delete Entry 

Go to main E-Print pageGo to main E-Print page.
Previous AbstractPrevious Abstract.
Next AbstractNext Abstract.
Download PreprintDownload Preprint.
Submitter's HomepageSubmitters Homepage.
Edit EntryEdit Entry.
View All Abstracts By SubmitterView all abstracts by submitter.
Delete AbstractDelete abstract.

Latest Entries
The role of non-axisymmetry of magnetic flux rope in constraining solar eruptions
Energy budget of plasma motions, heating, and electron acceleration in a three-loop solar flare
Space weather: the solar perspective - an update to Schwenn (2006)
Mixed properties of slow magnetoacoustic and entropy waves in a plasma with heating/cooling misbalance
The morphology of average solar flare time profiles from observations of the Sun's lower atmosphere
Indications of stellar coronal mass ejections through coronal dimmings
Could switchbacks originate in the lower solar atmosphere? II. Propagation of switchbacks in the solar corona
Solar large-scale magnetic field and cycle patterns in solar dynamo
Three-dimensional magnetic reconnection in astrophysical plasmas
Energy partition in a confined flare with an extreme-ultraviolet late phase
Alfvén wave heating in partially ionized thin threads of solar prominences
He I 10830 Dimming During Solar Flares, I: The Crucial Role of Non-Thermal Collisional Ionisations
Separating aa-index into Solar and Hale Cycle Related Components Using Principal Component Analysis
Inward Propagating Plasma Parcels in the Solar Corona: Models with Aerodynamic Drag, Ablation, and Snowplow Accretion
Energetics and 3-D Structure of Elementary Events in Solar Coronal Heating
Stellar Superflares Observed Simultaneously with Kepler and XMM-Newton
Medium-term predictions of F10.7 and F30 cm solar radio flux with the adaptive Kalman filter
Resonances in a Coronal Loop Driven by Torsional Alfvén Waves Propagating from the Photosphere
Effects of external flow on resonant absorption of coronal loop kink oscillations driven by an external fast wave: Selective excitation problem
Emerging Dimming as Coronal Heating Episodes

Related Pages
MSU Solar Physics.
Max Millennium Science Mail Archive.
Max Millennium Message of the Day Mail Archive.
Max Millennium Flare Catalog

Archive Maintainer
Alisdair Davey

© 2000-2020 Solar Physics Group - Montana State University