Interpreting the synchronisation of driven colloidal oscillators via the mean pair interaction
To explore the generic features of synchronisation facilitated by hydrodynamic interactions dominated by viscous forces, we investigate small systems of rowers; rowers are a highly simplified model for motile cilia, with each cilium approximated by a rigid sphere driven by a geometrically updated fo...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2018-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/aae103 |
| _version_ | 1797750548300038144 |
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| author | E Hamilton P Cicuta |
| author_facet | E Hamilton P Cicuta |
| author_sort | E Hamilton |
| collection | DOAJ |
| description | To explore the generic features of synchronisation facilitated by hydrodynamic interactions dominated by viscous forces, we investigate small systems of rowers; rowers are a highly simplified model for motile cilia, with each cilium approximated by a rigid sphere driven by a geometrically updated force. We introduce a new framework to analyse rowers, in which we average the pair-wise interaction of rowers by converting to the natural phase. In doing so the function describing the interaction becomes continuous, dramatically simplifying the system and allowing standard dynamical system techniques to be applied. Through inspection of phase portraits, we capture the broad features of rowers driven by power law forces and quantify their coupling strength. This approach is not limited to power law potentials, and can be applied to any monotonically increasing function. When implemented in systems with more rowers, the phase portraits show more diverse behaviour. By exploring the phase space, small systems of rowers can be designed to demonstrate specific features. |
| first_indexed | 2024-03-12T16:35:23Z |
| format | Article |
| id | doaj.art-46db74a5cb61486799b45daa7185c4e7 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:35:23Z |
| publishDate | 2018-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-46db74a5cb61486799b45daa7185c4e72023-08-08T14:54:44ZengIOP PublishingNew Journal of Physics1367-26302018-01-0120909302810.1088/1367-2630/aae103Interpreting the synchronisation of driven colloidal oscillators via the mean pair interactionE Hamilton0https://orcid.org/0000-0002-8341-0894P Cicuta1https://orcid.org/0000-0002-9193-8496Cavendish Laboratory, University of Cambridge , Cambridge, CB3 0HE, United KingdomCavendish Laboratory, University of Cambridge , Cambridge, CB3 0HE, United KingdomTo explore the generic features of synchronisation facilitated by hydrodynamic interactions dominated by viscous forces, we investigate small systems of rowers; rowers are a highly simplified model for motile cilia, with each cilium approximated by a rigid sphere driven by a geometrically updated force. We introduce a new framework to analyse rowers, in which we average the pair-wise interaction of rowers by converting to the natural phase. In doing so the function describing the interaction becomes continuous, dramatically simplifying the system and allowing standard dynamical system techniques to be applied. Through inspection of phase portraits, we capture the broad features of rowers driven by power law forces and quantify their coupling strength. This approach is not limited to power law potentials, and can be applied to any monotonically increasing function. When implemented in systems with more rowers, the phase portraits show more diverse behaviour. By exploring the phase space, small systems of rowers can be designed to demonstrate specific features.https://doi.org/10.1088/1367-2630/aae103synchronizationmetachronal wavesmotile cilianonlinear dynamical system |
| spellingShingle | E Hamilton P Cicuta Interpreting the synchronisation of driven colloidal oscillators via the mean pair interaction New Journal of Physics synchronization metachronal waves motile cilia nonlinear dynamical system |
| title | Interpreting the synchronisation of driven colloidal oscillators via the mean pair interaction |
| title_full | Interpreting the synchronisation of driven colloidal oscillators via the mean pair interaction |
| title_fullStr | Interpreting the synchronisation of driven colloidal oscillators via the mean pair interaction |
| title_full_unstemmed | Interpreting the synchronisation of driven colloidal oscillators via the mean pair interaction |
| title_short | Interpreting the synchronisation of driven colloidal oscillators via the mean pair interaction |
| title_sort | interpreting the synchronisation of driven colloidal oscillators via the mean pair interaction |
| topic | synchronization metachronal waves motile cilia nonlinear dynamical system |
| url | https://doi.org/10.1088/1367-2630/aae103 |
| work_keys_str_mv | AT ehamilton interpretingthesynchronisationofdrivencolloidaloscillatorsviathemeanpairinteraction AT pcicuta interpretingthesynchronisationofdrivencolloidaloscillatorsviathemeanpairinteraction |