具有自推进物体内部手性的小鼠模型中涡旋的形成
Vortex formation in the Vicsek model with internal chirality of self-propelling objects
AI总结：
研究通过修改的Vicsek模型探讨了内部手性对集体运动的影响，发现当手性比值较小时，物体形成稳定涡旋，速度自相关函数显示涡旋内流平衡，长期演化受涡旋内暂留影响，对称噪声转为手性扩散导致涡旋形成。
摘要：
通过适当修改的Vicsek模型模拟研究了内部手性对大量活性物体集体运动的影响。我们给噪声添加了一个固定角度，并考虑了这个角度与最大偏离平均局部运动方向的比值$p$较小的情况。当该比值为$p=1/120$时，观察到的旅行带被破坏，出现不同方向的小带。当$p=1/7.5$时，形成同向旋转的圆 flock。在$p=1/60$到$p=1/20$之间发现了稳定的涡旋。速度自相关函数显示涡旋内流入和流出的平衡。长期演化受到物体在涡旋中暂时滞留的影响。对称噪声的球形行为转变为手性导致的扩散行为，从而出现涡旋。
英文摘要：
Effect of internal chirality on collective motion of a large number of active objects is studied by simulations of appropriately modified Vicsek model. We add a fixed angle to the noise and consider small ratios, $p$, between this angle and the maximal deviation from the average local direction of motion. When the above ratio is $p=1/120$, the traveling bands observed with the symmetrical noise are destroyed, and small bands moving in different directions appear. Circular rotating flocks of objects with the same orientation are formed for $p=1/7.5$. Stable vortexes in the stationary state were found from $p=1/60$ to $p=1/20$. Velocity autocorrelation function shows equilibrium between the inflow and the outflow to and from the vortex. Long-time evolution is considerably influenced by a temporary trapping of the objects in the vortex. The ballistic behavior for the symmetrical noise changes to the diffusive behavior for the chirality leading to the onset of vortexes.
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