Solar Magnetic Carpet III: Coronal Modelling of Synthetic Magnetograms
This article is the third in a series working towards the construction of a realistic, evolving, non-linear force-free coronal-field model for the solar magnetic carpet. Here, we present preliminary results of 3D time-dependent simulations of the small-scale coronal field of the magnetic carpet. Four simulations are considered, each with the same evolving photospheric boundary condition: a 48-hour time series of synthetic magnetograms produced from the model of Meyer et al. (Solar Phys. 272, 29, 2011). Three simulations include a uniform, overlying coronal magnetic field of differing strength, the fourth simulation includes no overlying field. The build-up, storage, and dissipation of magnetic energy within the simulations is studied. In particular, we study their dependence upon the evolution of the photospheric magnetic field and the strength of the overlying coronal field. We also consider where energy is stored and dissipated within the coronal field. The free magnetic energy built up is found to be more than sufficient to power small-scale, transient phenomena such as nanoflares and X-ray bright points, with the bulk of the free energy found to be stored low down, between 0.5 – 0.8 Mm. The energy dissipated is currently found to be too small to account for the heating of the entire quiet-Sun corona. However, the form and location of energy-dissipation regions qualitatively agree with what is observed on small scales on the Sun. Future MHD modelling using the same synthetic magnetograms may lead to a higher energy release.
KeywordsSun: magnetic fields Sun: magnetic carpet
KAM and DHM gratefully acknowledge the support of the Leverhulme Trust and the STFC. DHM would like to thank the Royal Society for their support through the Research Grant Scheme. DHM and CEP acknowledge support from the EU under FP7.
magnet48b_free_ht.mpg (1.9 MB)
magnet48b_free_xz.mpg (882 kB)
magnet48b_q_ht.mpg (1.7 MB)
magnet48b_q_xz.mpg (878 kB)
magnet48b_q_xz_log.mpg (930 kB)
- Harvey-Angle, K.L.: 1993, Ph.D. thesis, Utrecht University. Google Scholar
- Martin, S.F.: 1984, In: Keil, S.L. (ed.) Small Scale Dynamical Processes in Quiet Stellar Atmospheres, National Solar Observatory, Sunspot, 30. Google Scholar
- Rieutord, M., Rincon, F.: 2010, Living Rev. Solar Phys. 7(2). http://solarphysics.livingreviews.org/Articles/lrsp-2010-2/.
- Schrijver, C.J., Title, A.M.: 2002, Astrophys. J. 207, 223. Google Scholar