Kinetic Theory of Flocking: Derivation of Hydrodynamic Equations

2010/06/30 by Thomas Ihle · 1 citation
Physics and Astronomy · #physics.bio-ph #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.83.030901

published as Phys. Rev. E 83, 030901 (2011) · 4 pages, 1 figure

arxiv created 2010/12/03 · arxiv updated 2015/02/24

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.

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