Magnetic levitation in the field of a rotating dipole
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914996946993152 |
|---|---|
| author | Lay, Grégoire Le Layani, Sarah Daerr, Adrian Berhanu, Michael Dolbeault, Rémy Person, Till Roussille, Hugo Taberlet, Nicolas |
| author_facet | Lay, Grégoire Le Layani, Sarah Daerr, Adrian Berhanu, Michael Dolbeault, Rémy Person, Till Roussille, Hugo Taberlet, Nicolas |
| contents | It is well known that two permanent magnets of fixed orientation will either always repel or attract one another regardless of the distance between them. However, if one magnet is rotated at sufficient speed, a stable position at a given equilibrium distance can exist for a second free magnet. The equilibrium is produced by magnetic forces alone, which are strong enough to maintain a levitating state under gravity. We show that a stable levitation can be obtained when the rotating magnet is tilted from the rotation axis, with no offset in its position. In this regime, the levitating magnet remains centered and its spinning rate remains negligible, while its magnetic moment precesses in synchronization with the driving magnet. We provide a physical explanation of the levitation through a model relying on static dipolar interactions between the two magnets and present experimental results which validate the proposed theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_22096 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Magnetic levitation in the field of a rotating dipole Lay, Grégoire Le Layani, Sarah Daerr, Adrian Berhanu, Michael Dolbeault, Rémy Person, Till Roussille, Hugo Taberlet, Nicolas Classical Physics Soft Condensed Matter Exactly Solvable and Integrable Systems Applied Physics It is well known that two permanent magnets of fixed orientation will either always repel or attract one another regardless of the distance between them. However, if one magnet is rotated at sufficient speed, a stable position at a given equilibrium distance can exist for a second free magnet. The equilibrium is produced by magnetic forces alone, which are strong enough to maintain a levitating state under gravity. We show that a stable levitation can be obtained when the rotating magnet is tilted from the rotation axis, with no offset in its position. In this regime, the levitating magnet remains centered and its spinning rate remains negligible, while its magnetic moment precesses in synchronization with the driving magnet. We provide a physical explanation of the levitation through a model relying on static dipolar interactions between the two magnets and present experimental results which validate the proposed theory. |
| title | Magnetic levitation in the field of a rotating dipole |
| topic | Classical Physics Soft Condensed Matter Exactly Solvable and Integrable Systems Applied Physics |
| url | https://arxiv.org/abs/2410.22096 |