中文版 | English
Title

Bulk Topological States in a New Collective Dynamics Model

Author
Corresponding AuthorDegond, Pierre
Publication Years
2022
DOI
Source Title
ISSN
1536-0040
Volume21Issue:2Pages:1455-1494
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.
Keywords
URL[Source Record]
Indexed By
SCI ; EI
Language
English
SUSTech Authorship
Others
WOS Research Area
Mathematics ; Physics
WOS Subject
Mathematics, Applied ; Physics, Mathematical
WOS Accession No
WOS:000821480600008
Publisher
EI Accession Number
20222612271791
EI Keywords
Rigid structures ; Topology
ESI Classification Code
Structural Design:408 ; Combinatorial Mathematics, Includes Graph Theory, Set Theory:921.4
ESI Research Field
MATHEMATICS
Data Source
Web of Science
Citation statistics
Cited Times [WOS]:1
Document TypeJournal Article
Identifierhttp://kc.sustech.edu.cn/handle/2SGJ60CL/355831
DepartmentDepartment of Mathematics
Affiliation
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
Recommended Citation
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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