Dynamo Theory, Nonlinear Magnetic Fields, and the Euler Potentials
The debate on the role of Euler potentials (EP), α∇β, in the dynamo theory is a long-standing one. It is known that the cross-product of gradients of two the potentials may represent magnetic fields lines. However, 2D and 3D dynamo hydromagnetic simulations suggest that their utility as analogues of...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2018-01-01
|
| Series: | Advances in Astronomy |
| Online Access: | http://dx.doi.org/10.1155/2018/4823494 |
| id |
doaj-441d32cc47e44f0d884fa87d88babc9d |
|---|---|
| record_format |
Article |
| spelling |
doaj-441d32cc47e44f0d884fa87d88babc9d2020-11-24T21:58:57ZengHindawi LimitedAdvances in Astronomy1687-79691687-79772018-01-01201810.1155/2018/48234944823494Dynamo Theory, Nonlinear Magnetic Fields, and the Euler PotentialsBob Osano0Cosmology and Gravity Group, Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch 7701, Cape Town, South AfricaThe debate on the role of Euler potentials (EP), α∇β, in the dynamo theory is a long-standing one. It is known that the cross-product of gradients of two the potentials may represent magnetic fields lines. However, 2D and 3D dynamo hydromagnetic simulations suggest that their utility as analogues of magnetic field potential is restricted. This raises questions about their utility in the broader context of magneto-genesis and dynamo theories. We reexamine this and find that a reinterpretation of such potentials offers a new insight into the role EP may play in the general evolution of magnetic fields.http://dx.doi.org/10.1155/2018/4823494 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Bob Osano |
| spellingShingle |
Bob Osano Dynamo Theory, Nonlinear Magnetic Fields, and the Euler Potentials Advances in Astronomy |
| author_facet |
Bob Osano |
| author_sort |
Bob Osano |
| title |
Dynamo Theory, Nonlinear Magnetic Fields, and the Euler Potentials |
| title_short |
Dynamo Theory, Nonlinear Magnetic Fields, and the Euler Potentials |
| title_full |
Dynamo Theory, Nonlinear Magnetic Fields, and the Euler Potentials |
| title_fullStr |
Dynamo Theory, Nonlinear Magnetic Fields, and the Euler Potentials |
| title_full_unstemmed |
Dynamo Theory, Nonlinear Magnetic Fields, and the Euler Potentials |
| title_sort |
dynamo theory, nonlinear magnetic fields, and the euler potentials |
| publisher |
Hindawi Limited |
| series |
Advances in Astronomy |
| issn |
1687-7969 1687-7977 |
| publishDate |
2018-01-01 |
| description |
The debate on the role of Euler potentials (EP), α∇β, in the dynamo theory is a long-standing one. It is known that the cross-product of gradients of two the potentials may represent magnetic fields lines. However, 2D and 3D dynamo hydromagnetic simulations suggest that their utility as analogues of magnetic field potential is restricted. This raises questions about their utility in the broader context of magneto-genesis and dynamo theories. We reexamine this and find that a reinterpretation of such potentials offers a new insight into the role EP may play in the general evolution of magnetic fields. |
| url |
http://dx.doi.org/10.1155/2018/4823494 |
| work_keys_str_mv |
AT bobosano dynamotheorynonlinearmagneticfieldsandtheeulerpotentials |
| _version_ |
1725850034959810560 |