Force-Free Fields Having More Energy Than Open Fields and Their Role in Coronal Mass Ejections

Details Force-Free Fields Having More Energy Than Open Fields and Their Role in Coronal Mass Ejections Force-Free Fields Having More Energy Than Open Fields and Their Role in Coronal Mass Ejections

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002agufmsh52a0490c&link_type=abstract

American Geophysical Union, Fall Meeting 2002, abstract #SH52A-0490

Physics

7509 Corona, 7513 Coronal Mass Ejections, 7524 Magnetic Fields, 7843 Numerical Simulation Studies

Scientific paper

In typical CME observations, a CME loop expands outward and a radially stretched open field structure is eventually formed. For this transition of field configuration to occur spontaneously, the closed field configuration before the eruption must have more energy than the open field configuration. This possibility is, however, precluded by the Aly-Sturrock theorem, according to which closed force-free fields with the same boundary normal field distribution do not have more energy than the corresponding open field. Here we note that in their proofs of the theorem, Aly and Sturrock assume that a limiting configuration of energy increasing sequences should exist and that the energy of this configuration is the energy supremum. These two conditions are far from trivial. In this paper, we report counterexamples in which the Aly-Sturrock theorem is invalid. We have constructed force-free fields in multiple flux systems with current sheets and found that some of them have more energy than the open field. We investigate how the geometrical properties of those force-free solutions depend on the imposed field connectivity. A comparison of our solutions with observational features is presented, and the dynamical evolution of those force-free fields toward eruption is discussed.

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