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Kinetic Theory of Flocking: Derivation of Hydrodynamic Equations

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.

preprint2010arXivOpen access
Thomas Ihle
cond-mat.stat-mechBiological Physics
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Thomas Ihle

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