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Alignment of self-propelled rigid bodies: from particle systems to macroscopic equations
chapter
posted on 2023-06-09, 16:38 authored by Pierre Degond, Amic Frouvelle, Sara Merino-Aceituno, Ariane TrescasesThe goal of these lecture notes is to present in a unified way various models for the dynamics of aligning self-propelled rigid bodies at different scales and the links between them. The models and methods are inspired from [12,13], but, in addition, we introduce a new model and apply on it the same methods. While the new model has its own interest, our aim is also to emphasize the methods by demonstrating their adaptability and by presenting them in a unified and simplified way. Furthermore, from the various microscopic models we derive the same macroscopic model, which is a good indicator of its universality.
History
Publication status
- Published
File Version
- Accepted version
Publisher
Springer proceedings in mathematics and statisticsExternal DOI
Page range
28-66Book title
Stochastic dynamics out of EquilibriumISBN
9783030150952Department affiliated with
- Mathematics Publications
Notes
Series ISSN 2194-1009Full text available
- No
Peer reviewed?
- Yes