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Alignment of self-propelled rigid bodies: from particle systems to macroscopic equations

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posted on 2023-06-09, 16:38 authored by Pierre Degond, Amic Frouvelle, Sara Merino-Aceituno, Ariane Trescases
The 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 statistics

Page range

28-66

Book title

Stochastic dynamics out of Equilibrium

ISBN

9783030150952

Department affiliated with

  • Mathematics Publications

Notes

Series ISSN 2194-1009

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2019-01-28

First Compliant Deposit (FCD) Date

2019-01-25

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