Bounds on Energies and Dissipation Rates in Forced Dynamos
This paper is concerned with limits on kinetic and magnetic energies and dissipation rates in forced flows that lead to dynamo action and a finite amplitude magnetic field. Rigorous results are presented giving upper and lower limits on the values of these quantities, in a simple cubic geometry with...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-08-01
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| Series: | Physics |
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| Online Access: | https://www.mdpi.com/2624-8174/4/3/61 |
| _version_ | 1827657698676572160 |
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| author | Michael Proctor |
| author_facet | Michael Proctor |
| author_sort | Michael Proctor |
| collection | DOAJ |
| description | This paper is concerned with limits on kinetic and magnetic energies and dissipation rates in forced flows that lead to dynamo action and a finite amplitude magnetic field. Rigorous results are presented giving upper and lower limits on the values of these quantities, in a simple cubic geometry with periodic boundary conditions, using standard inequalities. In addition to the general case, results in the special case of the Archontis dynamo are presented, in which fields and flows are closely similar in much of the domain. |
| first_indexed | 2024-03-09T22:48:41Z |
| format | Article |
| id | doaj.art-bb6e235e029547049fed102a7ff98ad7 |
| institution | Directory Open Access Journal |
| issn | 2624-8174 |
| language | English |
| last_indexed | 2024-03-09T22:48:41Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Physics |
| spelling | doaj.art-bb6e235e029547049fed102a7ff98ad72023-11-23T18:25:40ZengMDPI AGPhysics2624-81742022-08-014393393910.3390/physics4030061Bounds on Energies and Dissipation Rates in Forced DynamosMichael Proctor0Department of Applied Mathematics and Theoretical Physics (DAMTP), University of Cambridge, Clarkson Road, Cambridge CB3 0WA, UKThis paper is concerned with limits on kinetic and magnetic energies and dissipation rates in forced flows that lead to dynamo action and a finite amplitude magnetic field. Rigorous results are presented giving upper and lower limits on the values of these quantities, in a simple cubic geometry with periodic boundary conditions, using standard inequalities. In addition to the general case, results in the special case of the Archontis dynamo are presented, in which fields and flows are closely similar in much of the domain.https://www.mdpi.com/2624-8174/4/3/61magnetohydrodynamicsdynamo theoryrigorous bounds |
| spellingShingle | Michael Proctor Bounds on Energies and Dissipation Rates in Forced Dynamos Physics magnetohydrodynamics dynamo theory rigorous bounds |
| title | Bounds on Energies and Dissipation Rates in Forced Dynamos |
| title_full | Bounds on Energies and Dissipation Rates in Forced Dynamos |
| title_fullStr | Bounds on Energies and Dissipation Rates in Forced Dynamos |
| title_full_unstemmed | Bounds on Energies and Dissipation Rates in Forced Dynamos |
| title_short | Bounds on Energies and Dissipation Rates in Forced Dynamos |
| title_sort | bounds on energies and dissipation rates in forced dynamos |
| topic | magnetohydrodynamics dynamo theory rigorous bounds |
| url | https://www.mdpi.com/2624-8174/4/3/61 |
| work_keys_str_mv | AT michaelproctor boundsonenergiesanddissipationratesinforceddynamos |