Alignment of self-propelled rigid bodies: from particle systems to macroscopic equations
File(s)
Accepted version
Author(s)
Degond, Pierre
Frouvelle, Amic
Merino Aceituno, Sara
Trescases, Ariane
Type
Conference Paper
Abstract
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 [17,18], 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.
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 [17,18], 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.
Date Issued
2017-12-31
Date Acceptance
2019-01-13
Citation
Springer Proceedings in Mathematics and Statistics
ISSN
2194-1017
Publisher
Springer Nature
Journal / Book Title
Springer Proceedings in Mathematics and Statistics
Sponsor
The Royal Society
Engineering & Physical Science Research Council (EPSRC)
Engineering & Physical Science Research Council (EPSRC)
Grant Number
WM130048
EP/M006883/1
EP/P013651/1
Source
Stochastic dynamics out of equilibrium
Publication Status
Accepted
Start Date
2017
Coverage Spatial
Paris, France