| 题名 | Bulk Topological States in a New Collective Dynamics Model |
| 作者 | |
| 通讯作者 | Degond, Pierre |
| 发表日期 | 2022
|
| DOI | |
| 发表期刊 | |
| ISSN | 1536-0040
|
| 卷号 | 21期号:2页码:1455-1494 |
| 摘要 | 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. |
| 关键词 | |
| 相关链接 | [来源记录] |
| 收录类别 | |
| 语种 | 英语
|
| 学校署名 | 其他
|
| WOS研究方向 | Mathematics
; Physics
|
| WOS类目 | Mathematics, Applied
; Physics, Mathematical
|
| WOS记录号 | WOS:000821480600008
|
| 出版者 | |
| EI入藏号 | 20222612271791
|
| EI主题词 | Rigid structures
; Topology
|
| EI分类号 | Structural Design:408
; Combinatorial Mathematics, Includes Graph Theory, Set Theory:921.4
|
| ESI学科分类 | MATHEMATICS
|
| 来源库 | Web of Science
|
| 引用统计 |
被引频次[WOS]：4
|
| 成果类型 | 期刊论文 |
| 条目标识符 | http://sustech.caswiz.com/handle/2SGJ60CL/355831 |
| 专题 | 理学院_数学系 |
| 作者单位 | 1.Univ Toulouse, UPS, CNRS, Inst Math Toulouse,UMR5219, F-31062 Toulouse 9, France 2.Imperial Coll London, Dept Math, London SW7 2AZ, England 3.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China |
| 推荐引用方式 GB/T 7714 |
Degond, Pierre,Diez, Antoine,Na, Mingye. Bulk Topological States in a New Collective Dynamics Model[J]. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS,2022,21(2):1455-1494.
|
| APA |
Degond, Pierre,Diez, Antoine,&Na, Mingye.(2022).Bulk Topological States in a New Collective Dynamics Model.SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS,21(2),1455-1494.
|
| MLA |
Degond, Pierre,et al."Bulk Topological States in a New Collective Dynamics Model".SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS 21.2(2022):1455-1494.
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| 条目包含的文件 | 条目无相关文件。 | |||||
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