Axisymmetric Magnetic Fields Can Be Stably Generated by Simple Convection
DOI:
https://doi.org/10.51094/jxiv.520Keywords:
Cowling’s theorem, conductive fluid, dynamo theory, electromagnetic induction, magnetohydrodynamicsAbstract
Researchers have struggled to understand the mechanism underlying the formation of celestial magnetic fields. Ideas in some studies, including Cowling’s theory, limit research. Complex convection is necessary to generate a magnetic field. Research in this field could progress through the discovery of a new underlying mechanism. We found a clue in Cowling’s paper. In Cowling’s theory, to verify the possibility of generating a stable magnetic field, a condition that does not allow the magnetic field to fluctuate is imposed. However, for the magnetic field to increase to a certain intensity, a fluctuating process is essential. Therefore, in this work, we propose a new idea related to this theory. In our theory, the magnetic field and convection are allowed to fluctuate once in the equation. In addition, a necessary term was added to the relational equation based on the concept of external energy replenishment. As a result, even under relatively simple convection, the possibility of generating certain magnetic fields is demonstrated. This is a novel idea, and we believe that these findings will contribute to further elucidation of the mechanism of the formation of celestial magnetic fields.
Conflicts of Interest Disclosure
The author has no conflicts of interest to declare.Downloads *Displays the aggregated results up to the previous day.
References
E. H. Levy, "Generation of planetary magnetic fields," Annu. Rev. Earth Planet. Sci., vol. 4, no. 1, pp. 159–185, May 1976, doi: 10.1146/annurev.ea.04.050176.001111.
E. N. Parker, "Hydromagnetic dynamo models," Astrophysical J., vol. 122, pp. 293–314, Sep. 1955, doi: 10.1086/146087.
T. G. Cowling, "The magnetic field of sunspots," Monthly Notices Roy. Astronomical Soc., vol. 94, no. 1, pp. 39–48, Nov. 1933, doi: 10.1093/mnras/94.1.39.
H. S. Reall, "Mathematical tripos part IB: Electromagnetism." Available: www.damtp.cam.ac.uk/user/hsr1000/electromagnetism_lectures.pdf.
J. J. Love, Geophys. Res. Lett. 23(8), 857–860 (1996).
Downloads
Posted
Submitted: 2023-10-03 22:05:46 UTC
Published: 2023-10-16 02:08:10 UTC — Updated on 2024-01-23 04:11:47 UTC
Versions
- 2024-06-27 09:23:34 UTC (5)
- 2024-05-28 08:01:08 UTC (4)
- 2024-02-27 23:41:39 UTC (3)
- 2024-01-23 04:11:47 UTC (2)
- 2023-10-16 02:08:10 UTC (1)
Reason(s) for revision
The title has been changed and the explanation has been improved and corrected.License
Copyright (c) 2023
Mamoru Otsuki
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.