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Kinetic Theory of Flocking: Derivation of Hydrodynamic Equations

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.Comment: 4 pages, 1 figur

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