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

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Title: Alignment of self-propelled rigid bodies: from particle systems to macroscopic equations
Authors: Degond, P
Frouvelle, A
Merino Aceituno, S
Trescases, A
Item 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.
Issue Date: 31-Dec-2017
Date of Acceptance: 13-Jan-2019
ISSN: 2194-1017
Publisher: Springer Nature
Journal / Book Title: Springer Proceedings in Mathematics and Statistics
Sponsor/Funder: The Royal Society
Engineering & Physical Science Research Council (EPSRC)
Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: WM130048
Conference Name: Stochastic dynamics out of equilibrium
Publication Status: Accepted
Start Date: 2017
Conference Place: Paris, France
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences

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