Thumbnail

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

Degond, Pierre; Frouvelle, Amic; Merino-Aceituno, Sara; Trescases, Ariane (2019), Alignment of self-propelled rigid bodies: from particle systems to macroscopic equations, in Giacomin, Giambattista; Olla, Stefano; Saada, Ellen; Spohn, Herbert; Stoltz, Gabriel, Stochastic Dynamics Out of Equilibrium, Institut Henri Poincaré, Paris, France, 2017, Springer : Berlin Heidelberg, p. 28-66. 10.1007/978-3-030-15096-9_2

View/Open
Type
Communication / Conférence
Date
2019
Conference title
IHPStochDyn 2017
Conference date
2019-07
Conference city
Paris
Conference country
France
Book title
Stochastic Dynamics Out of Equilibrium, Institut Henri Poincaré, Paris, France, 2017
Book author
Giacomin, Giambattista; Olla, Stefano; Saada, Ellen; Spohn, Herbert; Stoltz, Gabriel
Publisher
Springer
Published in
Berlin Heidelberg
ISBN
978-3-030-15095-2
Pages
28-66
Publication identifier
Metadata
Show full item record
Author(s)
Degond, Pierre
Department of Mathematics [Imperial College London]
Frouvelle, Amic cc
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Merino-Aceituno, Sara
Department of Mathematics [Imperial College London]
Faculty of Mathematics [Vienna]
School of Mathematical and Physical Sciences
Trescases, Ariane
Institut de Mathématiques de Toulouse UMR5219 [IMT]
Abstract (EN)
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.
Subjects / Keywords
self-organized hydrodynamics; generalized collisional invariants; Self-propelled particles; rotation matrix; quaternions; alignment; velocity jumps; self-organized hy-drodynamics