Alignment of self-propelled rigid bodies: from particle systems to macroscopic equations
File(s)rigidbodies-clean.pdf (528.01 KB)
Accepted version
Author(s)
Degond, P
Frouvelle, A
Merino Aceituno, S
Trescases, A
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.
Date Issued
2017-12-31
Online Publication Date
2019-03-06T13:39:49Z
Date Acceptance
2019-01-13
ISSN
2194-1017
Publisher
Springer Nature
Journal / Book Title
Springer Proceedings in Mathematics and Statistics
Source Database
manual-entry
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
Country
Paris, France