Search

This paper studies the collective dynamic behaviors of a general adjacent coupled chain under a periodic driving force and dichotomous noise in both unconfined and confined spaces. The precise conditions for the stability, synchronization, and stochastic resonance (SR) of the system in an unconfined space were analytically derived and verified by numerical algorithms. The stability and synchronization of the adjacent coupled chain in the unconfined space were found to be related to the system and noise parameters. The collective dynamic behaviors of the adjacent coupled chain in the confined space were also analyzed through numerical simulations, and it was found that due to boundary constraints, the adjacent coupled chain consistently achieves stability and synchronization in the confined space. Moreover, when compared with the unconfined system, the output amplitude of the confined system exhibits more complex SR phenomena, such as double-peak SR, multi-peak SR, superharmonic SR and so on. [ABSTRACT FROM AUTHOR]

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 ρ c. 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. • There exists a critical coupling density ρ c. • Order parameter decreases with the increase of the chirality when ρ < ρ c . • Order parameter does not change with the chirality when ρ > ρ c . • Order parameter with small coupling density or small noise amplitude will decrease with the increase of chirality. • Order parameter with large coupling density or large noise amplitude will not change casually. [ABSTRACT FROM AUTHOR]