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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This content will become publicly available on March 18, 2027
Angular Dependence of Third-order Law in Anisotropic MHD Turbulence
Abstract In solar wind turbulence, the energy transfer/dissipation rate is typically estimated using MHD third-order structure functions calculated using spacecraft observations. However, the inherent anisotropy of solar wind turbulence leads to significant variations in structure functions along different observational directions, thereby affecting the accuracy of energy dissipation rate estimation. An unresolved issue is how to optimise the selection of observation angles under limited directional sampling to improve estimation precision. We conduct a series of MHD turbulence simulations with different mean magnetic field strengths,B0. Our analysis of the third-order structure functions reveals that the global energy dissipation rate estimated around a polar angle ofθ = 60∘agrees reasonably with the exact one for 0 ≤B0/brms≤ 5, wherebrmsdenotes the rms magnetic field fluctuation. The speciality of 60∘polar angle can be understood by the mean value theorem of integrals, since the spherical integral of the polar-angle component ( ) of the divergence of Yaglom flux is zero, and changes sign around 60∘. Existing theory on the energy flux vector as a function of the polar angle is assessed, and supports the speciality of the 60∘polar angle. The angular dependence of the third-order structure functions is further assessed with virtual spacecraft data analysis. The present results can be applied to measure the turbulent dissipation rates of energy in the solar wind, which are of potential importance to other areas in which turbulence takes place, such as laboratory plasmas and astrophysics.
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- Award ID(s):
- 2501387
- PAR ID:
- 10674726
- Publisher / Repository:
- The American Astronomical Society
- Date Published:
- Journal Name:
- The Astrophysical Journal
- Volume:
- 1000
- Issue:
- 1
- ISSN:
- 0004-637X
- Page Range / eLocation ID:
- 71
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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