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arXiv · 1006.1825

Kinetic Theory of Flocking: Derivation of Hydrodynamic Equations

Thomas Ihle
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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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Thomas Ihle. 2010-12-03. Kinetic Theory of Flocking: Derivation of Hydrodynamic Equations. https://doi.org/10.1103/physreve.83.030901

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