The collective motion of self-propelled particles affected by the spatial-dependent noise based on Vicsek rules

We study the collective motion of self-propelled particles affected by spatial-dependent noise based on Vicsek rules. In our model, we consider period boundary condition and only inside a special region will be noise. The consideration is closer to reality because complexity environment. Interestingly, find that average deviation between motional direction system orientation noisy very close zero when amplitude large enough. Particular makes parallel region. adjustment also depends shape, proportion spatial distribution Our findings may inspire capture key features underlying various phenomena.