Stability properties of the collective stationary motion of self-propelling particles with conservative kinematic constraints

Abstract

In our previous papers we proposed a continuum model for the dynamics of the systems of self-propelling particles with conservative kinematic constraints on the velocities. We have determined a class of stationary solutions of this hydrodynamic model and have shown that two types of stationary flow, linear and radially symmetric (vortical) flow, are possible. In this paper we consider the stability properties of these stationary flows. We show, using a linear stability analysis, that the linear solutions are neutrally stable with respect to the imposed velocity and density perturbations. A similar analysis of the stability of the vortical solution is found to be not conclusive.

13 pages, 3 figures

References in corpus (4)

• Novel type of phase transition in a system of self-driven particles
• Spontaneously ordered motion of self-propelled particles
• New aspects of the continuous phase transition in the scalar noise model (SNM) of collective motion
• Hydrodynamic Model for the System of Self Propelling Particles with Conservative Kinematic Constraints; Two dimensional stationary solutions