标题： 手性活性晶体中角动量的自发生成 显示英文标题

标题： Spontaneous generation of angular momentum in chiral active crystals

摘要： 我们研究了一种由欠阻尼手性活性粒子组成的二维手性活性晶体。这些粒子具有内在的手性性和持续性，通过从谐波势中导出的线性力相互作用。手性在塑造系统行为中起着关键作用：它减少了位移和速度的波动，同时在速度的不同笛卡尔分量之间诱导了交叉空间相关性。这些特性使手性晶体与其非手性对应物区分开来，导致净角动量的出现，如分析预测所示。这种由手性活性力产生的扭矩驱动的角动量，其依赖于手性的程度呈非单调变化。此外，通过路径积分分析揭示了它对熵产生率的贡献。我们在傅里叶空间和实空间中研究了晶体的动力学特性。手性在位移谱中诱导了一个非色散峰，这导致了角动量和时间依赖自相关函数或均方位移的振荡的生成，所有这些都是分析预测的。 显示英文摘要

摘要： We study a two-dimensional chiral active crystal composed of underdamped chiral active particles. These particles, characterized by intrinsic handedness and persistence, interact via linear forces derived from harmonic potentials. Chirality plays a pivotal role in shaping the system's behavior: it reduces displacement and velocity fluctuations while inducing cross-spatial correlations among different Cartesian components of velocity. These features distinguish chiral crystals from their non-chiral counterparts, leading to the emergence of net angular momentum, as predicted analytically. This angular momentum, driven by the torque generated by the chiral active force, exhibits a non-monotonic dependence on the degree of chirality. Additionally, it contributes to the entropy production rate, as revealed through a path-integral analysis. We investigate the dynamic properties of the crystal in both Fourier and real space. Chirality induces a non-dispersive peak in the displacement spectrum, which underlies the generation of angular momentum and oscillations in time-dependent autocorrelation functions or mean-square displacement, all of which are analytically predicted.