Validation of the magnetic energy vs. helicity scaling in solar magnetic structures

摘要: Aims. We assess the validity of free magnetic energy – relative helicity diagram for solar structures. Methods. used two different methods calculating and budgets: a classical, volume-calculation nonlinear force-free (NLFF) method applied to finite coronal structures surface-calculation NLFF derivation that relies on single photospheric or chromospheric vector magnetogram. Both were data sets, namely synthetic active-region cases obtained by three-dimensional magneto-hydrodynamic (MHD) simulations observed cases, which include both eruptive noneruptive Results. The derived energy-helicity shows consistent monotonic scaling between with index 0.84± 0.05 sets calculation methods. It also confirms segregation active regions existence thresholds in enter territory. Conclusions. consider previously reported as adequately validated envision significant role uncovered future studies magnetism.