This Letter reports scaling laws of free magnetic energy stored in a solar emerging flux
region which is a key to understanding the energetics of solar active phenomena such
as solar flares and coronal mass ejections. By performing three-dimensional magnetohydrodynamic
simulations that reproduce several emerging flux regions of different
magnetic configurations, we derive power-law relationships among emerged magnetic
flux, free magnetic energy and relative magnetic helicity in these emerging flux regions.
Since magnetic flux is an observable quantity, the scaling law between magnetic flux
and free magnetic energy may give a way to estimate invisible free magnetic energy
responsible for solar active phenomena.
Reference
Magara, T. 2014, PASJ, 66, L5