Colloidal Dynamics on a Choreographic Time Crystal
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2019
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| _version_ | 1866914762126786560 |
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| author | Libal, Andras Balazs, Tunde Reichhardt, C. Reichhardt, C. J. O. |
| author_facet | Libal, Andras Balazs, Tunde Reichhardt, C. Reichhardt, C. J. O. |
| contents | A choreographic time crystal is a dynamic lattice structure in which the points comprising the lattice move in a coordinated fashion. These structures were initially proposed for understanding the motion of synchronized satellite swarms. Using simulations we examine colloids interacting with a choreographic crystal consisting of traps that could be created optically. As a function of the trap strength, speed, and colloidal filling fraction, we identify a series of phases including states where the colloids organize into a dynamic chiral loop lattice as well as a frustrated induced liquid state and a choreographic lattice state. We show that transitions between these states can be understood in terms of vertex frustration effects that occur during a certain portion of the choreographic cycle. Our results can be generalized to a broader class of systems of particles coupled to choreographic structures, such as vortices, ions, cold atoms, and soft matter systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1912_04824 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Colloidal Dynamics on a Choreographic Time Crystal Libal, Andras Balazs, Tunde Reichhardt, C. Reichhardt, C. J. O. Soft Condensed Matter Statistical Mechanics A choreographic time crystal is a dynamic lattice structure in which the points comprising the lattice move in a coordinated fashion. These structures were initially proposed for understanding the motion of synchronized satellite swarms. Using simulations we examine colloids interacting with a choreographic crystal consisting of traps that could be created optically. As a function of the trap strength, speed, and colloidal filling fraction, we identify a series of phases including states where the colloids organize into a dynamic chiral loop lattice as well as a frustrated induced liquid state and a choreographic lattice state. We show that transitions between these states can be understood in terms of vertex frustration effects that occur during a certain portion of the choreographic cycle. Our results can be generalized to a broader class of systems of particles coupled to choreographic structures, such as vortices, ions, cold atoms, and soft matter systems. |
| title | Colloidal Dynamics on a Choreographic Time Crystal |
| topic | Soft Condensed Matter Statistical Mechanics |
| url | https://arxiv.org/abs/1912.04824 |