Collective motion of chiral particles based on the Vicsek model

Abstract

The research of chiral particles is of great significance to understanding the collective behavior of biomolecules. In this paper, we research the collective motion of chiral particles based on the Vicsek model using computer numerical simulations. When there is no noise, it is found that there is a critical coupling density ρc. When the coupling density of the particle is smaller than the critical coupling density, the order parameter of the particle will decrease with the increase of the chirality. When the coupling density is greater than the critical coupling density, the order parameter does not change with the chirality. In addition, the critical coupling density decreases as the particle number N and decoupled parameter L/r increase, but first decreases and then increases as the decoupled parameter v/r increases. Further, when there is noise, the order parameter of the particle with small coupling density or small noise amplitude will decrease with the increase of chirality, whereas the order parameter with large coupling density or large noise amplitude will not change. Our results improve the collective motion properties of chiral self-propelled particles. Besides, our work may inspire new strategies for manipulating self-propelled particles with different chirality to maintain a highly ordered state.