Modeling self-organized systems interacting with few individuals: from microscopic to macroscopic dynamics
Biological Physics
2012-10-15 v1 Social and Information Networks
Physics and Society
Quantitative Methods
Abstract
In nature self-organized systems as flock of birds, school of fishes or herd of sheeps have to deal with the presence of external agents such as predators or leaders which modify their internal dynamic. Such situations take into account a large number of individuals with their own social behavior which interact with a few number of other individuals acting as external point source forces. Starting from the microscopic description we derive the kinetic model through a mean-field limit and finally the macroscopic system through a suitable hydrodynamic limit.
Cite
@article{arxiv.1210.1172,
title = {Modeling self-organized systems interacting with few individuals: from microscopic to macroscopic dynamics},
author = {Giacomo Albi and Lorenzo Pareschi},
journal= {arXiv preprint arXiv:1210.1172},
year = {2012}
}