Kinetic Theory of Flocking: Derivation of Hydrodynamic Equations

Details Kinetic Theory of Flocking: Derivation of Hydrodynamic Equations Kinetic Theory of Flocking: Derivation of Hydrodynamic Equations

2010-06-09

arxiv.org/abs/1006.1825v2

Physics

Biological Physics

4 pages, 1 figure

Scientific paper

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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