1304.6645 (Oleksandr Chepizhko et al.)

The microscopic phase density functional approach to the construction of
the kinetic and hydrodynamic description for the system of self-propelled
particles    [PDF]

Oleksandr Chepizhko, Vladimir Kulinskii

We use the method of microscopic phase density to get general form of kinetic equation for the system of self-propelled particles with Vicsek-like alignment. The hydrodynamic equations are derived for the ordered phase and the ideal approximation is considered taking into account the mean-field force only. It is shown that the hydrodynamics of such ideal self-propelled fluid in main features demonstrates the dynamical transition from disordered initial state to the completely ordered motion. The problem of viscosity in hydrodynamic limit for the Vicsek-like model is discussed.

View original: http://arxiv.org/abs/1304.6645