The Evolution and Deformation of Magnetic Flux Tube Along Neutral Points

Year 2025, Volume: 18 Issue: 2, 277 - 292

Esra Parlak , Zehra Ozdemir

https://doi.org/10.36890/iejg.1684322

Abstract

With advancements in animation and computer technologies throughout the last few years, quaternions are widely utilized to define three-dimensional rotating transformations. We demonstrate that an MFT (Magnetic Flux Tube) can be completely described via a quaternionic approach to support this. The flux tube equation constructed along the neutral point was derived and its components were looked at in this study. Then, we looked at the flux tube motion along this neutral point using the quaternion technique. We also studied the magnetohydrodynamics equations and Maxwell's equations from a quaternionic viewpoint. Moreover, we examined the deformations and variation of these flux tubes near the neutral points and found some extremely fascinating geometrical findings.
Also provided are explanations of the MFTs that employ the stretch factor. Following that, the kinematic equations' analytical solutions are found, and some examples illustrating the theory are displayed. Furthermore, the flux tube is expressed with split quaternions, and that makes it simpler to explain and visualize different physical principles.

Keywords

Quaternion algebras , mathematical physics , neutral points , magnetic theory , ordinary differential equations

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