Abstract We generalize a magnetogram-matching Biot–Savart law (BSl) from planar to spherical geometry. For a given coronal current densityJ, this law determines the magnetic field whose radial component vanishes at the surface. The superposition of with a potential field defined by a given surface radial field,Br, provides the entire configuration whereBrremains unchanged by the currents. Using this approach, we (1) upgrade our regularized BSls for constructing coronal magnetic flux ropes (MFRs) and (2) propose a new method for decomposing a measured photospheric magnetic field as , where the potential,Bpot, toroidal,BT, and poloidal, , fields are determined byBr,Jr, and the surface divergence ofB–Bpot, respectively, all derived from magnetic data. OurBTis identical to the one in the alternative Gaussian decomposition by P. W. Schuck et al., whileBpotand are different from their poloidal fields and , which arepotentialin the infinitesimal proximity to the upper and lower side of the surface, respectively. In contrast, our has no such constraints and, asBpotandBT, refers to thesameupper side of the surface. In spite of these differences, for a continuousJdistribution across the surface,Bpotand are linear combinations of and . We demonstrate that, similar to the Gaussian method, our decomposition allows one to identify the footprints and projected surface-location of MFRs in the solar corona, as well as the direction and connectivity of their currents.
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Spectral Energy Distribution Variability of the Blazar OJ 287 During 2009–2021
Abstract Using nearly simultaneous radio, near-infrared, optical, and ultraviolet (UV) data collected since 2009, we constructed 106 spectral energy distributions (SEDs) of the blazar OJ 287. These SEDs are well fitted by a log-parabolic model. By classifying the data into “flare” and “quiescent” segments, we find that the median flux at the peak frequency of the SEDs during the flare segments is 0.37 ± 0.22 dex higher compared to the quiescent segments, while no significant differences are observed in the median values of the curvature parameterbor the peak frequency . A significant bluer-when-brighter trend is confirmed through the relation between theVmagnitude andB − Vcolor index, with this trend being stronger in the flare segments. Additionally, a significant anticorrelation is detected between andb, with a slope of 5.79 in the relation between 1/band , closer to the prediction from a statistical acceleration model than a stochastic acceleration interpretation, though a notable discrepancy persists. This discrepancy indicates that additional factors—such as deviations from idealized conditions or radiative contributions, such as the thermal emission from the accretion disk in the optical–UV range during quiescent states—may play a role in producing the observed steeper slope. Within the framework of the statistical acceleration mechanism, the lack of correlation between the change in the peak intensity and the change in the peak frequency suggests that the change in the electron energy distribution is unlikely to be responsible for the time-dependent SED changes. Instead, changes in Doppler boosting or magnetic fields may have a greater influence.
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- Award ID(s):
- 2108622
- PAR ID:
- 10598644
- Publisher / Repository:
- American Astronomical Society
- Date Published:
- Journal Name:
- The Astrophysical Journal
- Volume:
- 979
- Issue:
- 2
- ISSN:
- 0004-637X
- Page Range / eLocation ID:
- 210
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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