论文标题
噪声引起的活性颗粒蜂群
Noise induced swarming of active particles
论文作者
论文摘要
我们报告了空间相关的噪声对自驱动颗粒速度的影响。作用于自我推进粒子的随机力的相关性可以诱导定向的集体运动，即蜂拥而至。即使在速度方向上排斥耦合（有利于无序状态），波动中的较强相关性也可以使局部速度对齐，从而导致宏观湍流，湍流速度场。另一方面，虽然空间相关的噪声在局部对齐速度，但是当噪声的相关长度非零，但小于系统大小时，会抑制向全球运动的蜂群过渡到全球定向运动。我们在全球耦合速度向量的平均场模型中分析了$ d $尺寸空间中的蜂群过渡。
We report on the effect of spatially correlated noise on the velocities of self propelled particles. Correlations in the random forces acting on self propelled particles can induce directed collective motion, i.e. swarming. Even with repulsive coupling in the velocity directions, which favors a disordered state, strong correlations in the fluctuations can align the velocities locally leading to a macroscopic, turbulent velocity field. On the other hand, while spatially correlated noise is aligning the velocities locally, the swarming transition to globally directed motion is inhibited when the correlation length of the noise is nonzero, but smaller than the system size. We analyze the swarming transition in $d$ dimensional space in a mean field model of globally coupled velocity vectors.
