Daining Xiao's Outputs (3)

Winding and magnetic helicity in periodic domains (2025)
Journal Article
Xiao, D., Prior, C. B., & Yeates, A. R. (2025). Winding and magnetic helicity in periodic domains. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 481(2307), Article 20240152. https://doi.org/10.1098/rspa.2024.0152

In simply-connected Euclidean domains, it is well-known that the topological complexity of a given magnetic field can be quantified by its magnetic helicity, which is equivalent to the total, flux-weighted winding number of magnetic field lines. Ofte... Read More about Winding and magnetic helicity in periodic domains.

Computation of Winding-Based Magnetic Helicity and Magnetic Winding Density for SHARP Magnetograms in Spherical Coordinates (2023)
Journal Article
Xiao, D., Prior, C. B., & Yeates, A. R. (2023). Computation of Winding-Based Magnetic Helicity and Magnetic Winding Density for SHARP Magnetograms in Spherical Coordinates. Solar Physics, 298(10), Article 116. https://doi.org/10.1007/s11207-023-02211-9

Magnetic helicity has been used widely in the analysis and modelling of solar active regions. However, it is difficult to evaluate and interpret helicity in spherical geometry since coronal magnetic fields are rooted in the photosphere and helicity i... Read More about Computation of Winding-Based Magnetic Helicity and Magnetic Winding Density for SHARP Magnetograms in Spherical Coordinates.

Spherical winding and helicity (2023)
Journal Article
Xiao, D., Prior, C., & Yeates, A. (2023). Spherical winding and helicity. Journal of Physics A: Mathematical and Theoretical, 56(20), Article 205201. https://doi.org/10.1088/1751-8121/accc17

In ideal magnetohydrodynamics, magnetic helicity is a conserved dynamical quantity and a topological invariant closely related to Gauss linking numbers. However, for open magnetic fields with non-zero boundary components, the latter geometrical inter... Read More about Spherical winding and helicity.