Macroscopic models of collective motion with repulsion
Mathematical Physics
2014-04-22 v1 math.MP
Abstract
We study a system of self-propelled particles which interact with their neighbors via alignment and repulsion. The particle velocities result from self-propulsion and repulsion by close neighbors. The direction of self-propulsion is continuously aligned to that of the neighbors, up to some noise. A continuum model is derived starting from a mean-field kinetic description of the particle system. It leads to a set of non conservative hydrodynamic equations. We provide a numerical validation of the continuum model by comparison with the particle model. We also provide comparisons with other self-propelled particle models with alignment and repulsion.
Cite
@article{arxiv.1404.4886,
title = {Macroscopic models of collective motion with repulsion},
author = {Pierre Degond and Giacomo Dimarco and Thi Bich Ngoc Mac and Nan Wang},
journal= {arXiv preprint arXiv:1404.4886},
year = {2014}
}