限制势中相互作用行走液滴气体的统计自组织
Statistical self-organization of a gas of interacting walking drops in a confining potential
AI总结：
数值研究限制势中大量行走液滴气体的动力学，发现个体轨迹杂乱但系统呈现参数不变的有序内部结构，其非平稳自组织源于波的对称性，振荡对势形成活性物质波动集体态。
摘要：
在垂直振动的表面上弹跳的液滴可通过驻波自推进，并沿流体界面行进。这种被称为行走液滴的系统在宏观尺度上形成了一种非量子波粒关联。单个粒子的动力学引发了大量研究，并在过去十年中取得了引人注目的实验结果。我们数值研究了行走液滴气体的动力学，即在作用于粒子的限制势存在下，在无界流体界面上演化的大量行走液滴。我们表明，即使个体轨迹是杂乱的，系统也呈现出明确定义的有序内部结构，该结构对液滴数量、记忆时间和浴半径等参数变化保持不变。我们根据波的对称性合理化了这种非平稳自组织，并表明振荡对势形成了活性物质的波动集体态。
英文摘要：
A drop bouncing on a vertically-vibrated surface may self-propel forward by standing waves and travels along a fluid interface. This system called walking drop forms a non-quantum wave-particle association at the macroscopic scale. The dynamics of one particle has triggered many investigations and has resulted in spectacular experimental results in the last decade. We investigate numerically the dynamics of a gas of walkers, i.e. a large number of walking drops evolving on a unbounded fluid interface in the presence of a confining potential acting on the particles. We show that even if the individual trajectories are erratic, the system presents well-defined ordered internal structure that remains invariant to parameter variations such as the number of drops, the memory time and the bath radius. We rationalize such non-stationary self-organization in terms of the symmetry of the waves and show that oscillatory pair potentials form a wavy collective state of active matter.
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