Kinetic Theory of Flocking: Derivation of Hydrodynamic Equations
Biological Physics
2015-02-24 v2 Statistical Mechanics
Abstract
It is shown how to explicitly coarse-grain the microscopic dynamics of the Vicsek model for self-propelled agents. The macroscopic transport equations are derived by means of an Enskog-type kinetic theory. Expressions for all transport coefficients at large particle speed are given. The phase transition from a disordered to a flocking state is studied numerically and analytically.
Keywords
Cite
@article{arxiv.1006.1825,
title = {Kinetic Theory of Flocking: Derivation of Hydrodynamic Equations},
author = {Thomas Ihle},
journal= {arXiv preprint arXiv:1006.1825},
year = {2015}
}
Comments
4 pages, 1 figure