论文标题
在三个空间维度中活跃的布朗颗粒的集体动力学：一个预测场理论
Collective dynamics of active Brownian particles in three spatial dimensions: a predictive field theory
论文作者
论文摘要
我们研究了三个空间维度通过对电势相互作用的球形活性布朗颗粒的非平衡动力学。该研究基于一种预测的局部场理论，该理论是由从颗粒的过度阻尼的兰格文动力学开始的严格的粗粒度得出的。该领域理论即使适用于最高活动，也是高度准确且适用的。它包括配置订单参数和衍生物，直到无限订单。我们还提出了三个有限的减少模型，这些模型是由一般野外理论通过合适近似值而易于应用的三个有限模型。此外，我们使用通用场理论和最简单的模型中最简单的模型来得出分析依赖密度依赖的平均游泳速度和分别对应于运动诱导的粒子相分离的旋转。这两个结果都与文献中描述的最新发现都达成了很好的一致性。 Spinodal产量的分析结果也是相关临界点的预测，该临界点之前尚未确定位置。
We investigate the nonequilibrium dynamics of spherical active Brownian particles in three spatial dimensions that interact via a pair potential. The investigation is based on a predictive local field theory that is derived by a rigorous coarse-graining starting from the overdamped Langevin dynamics of the particles. This field theory is highly accurate and applicable even for the highest activities. It includes configurational order parameters and derivatives up to infinite orders. We present also three finite reduced models that result from the general field theory by suitable approximations and are easier to apply. Furthermore, we use the general field theory and the simplest one of the reduced models to derive analytic expressions for the density-dependent mean swimming speed and the spinodal corresponding to the onset of motility-induced phase separation of the particles, respectively. Both of these results show a good agreement with recent findings described in the literature. The analytic result for the spinodal yields also a prediction for the associated critical point whose position has not been determined before.
