论文标题
从观察结果中发现动态定律:自行性,相互作用的胶体的情况
Discovering dynamic laws from observations: the case of self-propelled, interacting colloids
论文作者
论文摘要
主动物质跨越了广泛的时间和长度,从细胞和合成的自我旋转颗粒到鱼类,鸟类甚至人类人群。描述这些系统的理论框架在寻找普遍现象学方面取得了巨大的成功。但是,难以确定控制每个系统中各个元素动态的力的困难,通常会使进一步的进步负担。访问这些本地信息是理解系统主导系统并创建可以解释观察到的集体现象的模型的关键。在这项工作中,我们提出了一个机器学习模型,一个图形神经网络,该模型使用系统的集体运动来学习控制粒子各个动力学的主动和两体力。我们使用活性布朗颗粒的数值模拟来验证我们的方法,考虑到不同的相互作用势和活性水平。最后,我们将模型应用于电泳Janus颗粒的实验,从而提取了控制胶体动力学的活性和两体力。因此,我们可以发现主导系统行为的物理学。我们提取一种取决于电场和面积分数的活性力。我们还发现了与电场的两体相互作用的依赖性,这使我们提出这些胶体之间的主要力是具有恒定长度尺度的筛选静电相互作用。我们希望这种方法可以为活动颗粒的实验系统进行研究和建模开辟新的途径。
Active matter spans a wide range of time and length scales, from groups of cells and synthetic self-propelled particles to schools of fish, flocks of birds, or even human crowds. The theoretical framework describing these systems has shown tremendous success at finding universal phenomenology. However, further progress is often burdened by the difficulty of determining the forces that control the dynamics of the individual elements within each system. Accessing this local information is key to understanding the physics dominating the system and to create the models that can explain the observed collective phenomena. In this work, we present a machine-learning model, a graph neural network, that uses the collective movement of the system to learn the active and two-body forces controlling the individual dynamics of the particles. We verify our approach using numerical simulations of active brownian particles, considering different interaction potentials and levels of activity. Finally, we apply our model to experiments of electrophoretic Janus particles, extracting the active and two-body forces that control the dynamics of the colloids. Due to this, we can uncover the physics dominating the behavior of the system. We extract an active force that depends on the electric field and also area fraction. We also discover a dependence of the two-body interaction with the electric field that leads us to propose that the dominant force between these colloids is a screened electrostatic interaction with a constant length scale. We expect that this methodology can open a new avenue for the study and modeling of experimental systems of active particles.