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- W3121662912 abstract "In this paper, we demonstrate the existence of topological states in a new collective dynamics model. This individual-based model (IBM) describes self-propelled rigid bodies moving with constant speed and adjusting their rigid-body attitude to that of their neighbors. In previous works, a macroscopic model has been derived from this IBM in a suitable scaling limit. In the present work, we exhibit explicit solutions of the macroscopic model characterized by a nontrivial topology. We show that these solutions are well approximated by the IBM during a certain time but then the IBM transitions toward topologically trivial states. Using a set of appropriately defined topological indicators, we reveal that the breakage of the nontrivial topology requires the system to go through a phase of maximal disorder. We also show that similar but topologically trivial initial conditions result in markedly different dynamics, suggesting that topology plays a key role in the dynamics of this system." @default.
- W3121662912 created "2021-02-01" @default.
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- W3121662912 date "2022-06-01" @default.
- W3121662912 modified "2023-10-09" @default.
- W3121662912 title "Bulk Topological States in a New Collective Dynamics Model" @default.
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- W3121662912 doi "https://doi.org/10.1137/21m1393935" @default.
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