Degenerate states, emergent dynamics and fluid mixing by magnetic rotors
We investigate the collective motion of magnetic rotors suspended in a viscous fluid under a uniform rotating magnetic field. The rotors are positioned on a square lattice, and low Reynolds hydrodynamics is assumed. For a 3 × 3 array of magnets, we observe three characteristic dynamical pat...
| Main Authors: | , , , , |
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| Formato: | Journal article |
| Idioma: | English |
| Publicado em: |
Royal Society of Chemistry
2020
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| _version_ | 1826286675675840512 |
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| author | Kawai, T Matsunaga, D Meng, F Yeomans, JM Golestanian, R |
| author_facet | Kawai, T Matsunaga, D Meng, F Yeomans, JM Golestanian, R |
| author_sort | Kawai, T |
| collection | OXFORD |
| description | We investigate the collective motion of magnetic rotors suspended in a viscous fluid under a uniform rotating magnetic field. The rotors are positioned on a square lattice, and low Reynolds hydrodynamics is assumed. For a 3 × 3 array of magnets, we observe three characteristic dynamical patterns as the external field strength is varied: a synchronized pattern, an oscillating pattern, and a chessboard pattern. The relative stability of these depends on the competition between the energy due to the external magnetic field and the energy of the magnetic dipole-dipole interactions among the rotors. We argue that the chessboard pattern can be understood as an alternation in the stability of two degenerate states, characterized by striped and spin-ice configurations, as the applied magnetic field rotates. For larger arrays, we observe propagation of slip waves that are similar to metachronal waves. The rotor arrays have potential as microfluidic devices that can mix fluids and create vortices of different sizes. |
| first_indexed | 2024-03-07T01:47:16Z |
| format | Journal article |
| id | oxford-uuid:98d9b8cb-aa6d-4b9a-821c-dd8ee948cd92 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T01:47:16Z |
| publishDate | 2020 |
| publisher | Royal Society of Chemistry |
| record_format | dspace |
| spelling | oxford-uuid:98d9b8cb-aa6d-4b9a-821c-dd8ee948cd922022-03-27T00:09:56ZDegenerate states, emergent dynamics and fluid mixing by magnetic rotorsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:98d9b8cb-aa6d-4b9a-821c-dd8ee948cd92EnglishSymplectic ElementsRoyal Society of Chemistry2020Kawai, TMatsunaga, DMeng, FYeomans, JMGolestanian, RWe investigate the collective motion of magnetic rotors suspended in a viscous fluid under a uniform rotating magnetic field. The rotors are positioned on a square lattice, and low Reynolds hydrodynamics is assumed. For a 3 × 3 array of magnets, we observe three characteristic dynamical patterns as the external field strength is varied: a synchronized pattern, an oscillating pattern, and a chessboard pattern. The relative stability of these depends on the competition between the energy due to the external magnetic field and the energy of the magnetic dipole-dipole interactions among the rotors. We argue that the chessboard pattern can be understood as an alternation in the stability of two degenerate states, characterized by striped and spin-ice configurations, as the applied magnetic field rotates. For larger arrays, we observe propagation of slip waves that are similar to metachronal waves. The rotor arrays have potential as microfluidic devices that can mix fluids and create vortices of different sizes. |
| spellingShingle | Kawai, T Matsunaga, D Meng, F Yeomans, JM Golestanian, R Degenerate states, emergent dynamics and fluid mixing by magnetic rotors |
| title | Degenerate states, emergent dynamics and fluid mixing by magnetic rotors |
| title_full | Degenerate states, emergent dynamics and fluid mixing by magnetic rotors |
| title_fullStr | Degenerate states, emergent dynamics and fluid mixing by magnetic rotors |
| title_full_unstemmed | Degenerate states, emergent dynamics and fluid mixing by magnetic rotors |
| title_short | Degenerate states, emergent dynamics and fluid mixing by magnetic rotors |
| title_sort | degenerate states emergent dynamics and fluid mixing by magnetic rotors |
| work_keys_str_mv | AT kawait degeneratestatesemergentdynamicsandfluidmixingbymagneticrotors AT matsunagad degeneratestatesemergentdynamicsandfluidmixingbymagneticrotors AT mengf degeneratestatesemergentdynamicsandfluidmixingbymagneticrotors AT yeomansjm degeneratestatesemergentdynamicsandfluidmixingbymagneticrotors AT golestanianr degeneratestatesemergentdynamicsandfluidmixingbymagneticrotors |