论文标题
相互作用的活动物质的时间依赖性特性：自构颗粒的一维系统的动态行为
Time-dependent properties of interacting active matter: dynamical behavior of one-dimensional systems of self-propelled particles
论文作者
论文摘要
我们研究了由活跃的Ornstein-uhlenbeck粒子（AOUP）模型描述的自露的颗粒的相互作用的一维粒子系统，即使在不存在比对相互作用的情况下，即使在二维中已经观察到的速度和能量结构域，速度和能量结构域也会自发地形成。这样的域是由于自我推测与相互作用之间的相互作用而在空间相关的区域。它们的典型大小由特征相关长度控制。在目前的工作中，我们专注于模型的新颖且鲜为人知的方面，即其动力学行为。为此，我们从理论和数字上研究时间依赖性速度自相关和时空速度相关函数。这些相关性的研究提供了平均寿命的度量，因此，速度域的稳定性。
We study an interacting high-density one-dimensional system of self-propelled particles described by the Active Ornstein-Uhlenbeck particle (AOUP) model where, even in the absence of alignment interactions, velocity and energy domains spontaneously form in analogy with those already observed in two dimensions. Such domains are regions where the individual velocities are spatially correlated as a result of the interplay between self-propulsion and interactions. Their typical size is controlled by a characteristic correlation length. In the present work, we focus on a novel and lesser-known aspect of the model, namely its dynamical behavior. To this purpose, we investigate theoretically and numerically the time-dependent velocity autocorrelation and spatio-temporal velocity correlation functions. The study of these correlations provides a measure of the average life-time and, thus, the stability in time of the velocity domains.
