Kinetic theory of flocking: derivation of hydrodynamic equations.

@article{Ihle2011KineticTO,
  title={Kinetic theory of flocking: derivation of hydrodynamic equations.},
  author={Thomas Ihle},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2011},
  volume={83 3 Pt 1},
  pages={030901}
}
  • Thomas Ihle
  • Published 2011 in
    Physical review. E, Statistical, nonlinear, and…
It is shown how to explicitly coarse-grain the microscopic dynamics of the rule-based Vicsek model for self-propelled agents. The hydrodynamic equations are derived by means of an Enskog-type kinetic theory. Expressions for all transport coefficients are given. The transition from a disordered to a flocking state, which at large particle speeds appears to be a fluctuation-induced first-order phase transition, is studied numerically and analytically. 
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