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

Degond, Pierre, Frouvelle, Amic, Merino-Aceituno, Sara and Trescases, Ariane (2019) Alignment of self-propelled rigid bodies: from particle systems to macroscopic equations. In: Stochastic dynamics out of Equilibrium. Springer proceedings in mathematics and statistics. (Accepted)

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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 [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.

Item Type: Book Section
Additional Information: Series ISSN 2194-1009
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA0299 Analysis. Including analytical methods connected with physical problems
Depositing User: Sara Merino Aceituno
Date Deposited: 28 Jan 2019 11:42
Last Modified: 28 Jan 2019 11:42
URI: http://srodev.sussex.ac.uk/id/eprint/81474

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