The hydrodynamic description for the system of self-propelled particles: Ideal Viscek fluid

Oleksandr Chepizhko and Vladimir Kulinskii

Physica A: Statistical Mechanics and its Applications, 2014, vol. 415, issue C, 493-502

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.

Keywords: Self-propelled particles; Vicsek model; Active matter; Kinetic theory; Microscopic phase density functional; Hydrodynamics (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:415:y:2014:i:c:p:493-502

DOI: 10.1016/j.physa.2014.08.027

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