Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7380107 | Physica A: Statistical Mechanics and its Applications | 2014 | 10 Pages |
Abstract
We use the method of the microscopic phase density to get the kinetic equation for the system of self-propelled particles with Vicsek-like alignment rule. The hydrodynamic equations are derived for the ordered phase taking into account the mean-field force only. The equation for the hydrodynamic velocity plays the role of the Euler equation for the self-propelled Vicsek fluid. The hydrodynamics of such ideal self-propelled fluid demonstrates the dynamical transition from disordered initial state to the completely ordered motion. To take the noise into account we consider how the framework of the local equilibrium approximation affects the hydrodynamic equations and the viscous tensor and show that in such approximation the shear viscosity vanishes.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Oleksandr Chepizhko, Vladimir Kulinskii,