Particles kicked by external forces to produce mobility distinct from thermal diffusion are an iconic feature of the active matter problem. Here, we map this onto a minimal model for experiment and theory covering the wide time and length scales of usual active matter systems. A particle diffusing in a harmonic potential generated by an optical trap is kicked by programmed forces with time correlation at random intervals following the Poisson process. The model's generic simplicity allows us to find conditions for which displacements are Gaussian (or not), how diffusion is perturbed (or not) by kicks, and quantifying heat dissipation to maintain the non-equilibrium steady state in an active bath. The model reproduces experimental results of tracer mobility in an active bath of swimming algal cells. It can be used as a stochastic dynamic simulator for Brownian objects in various active baths without mechanistic understanding, owing to the generic framework of the protocol.

中文翻译：

---

在主动浴中快速制作布朗粒子的原型。

外力推动的粒子产生不同于热扩散的迁移率是活性物质问题的标志性特征。在这里，我们将其映射到用于实验和理论的最小模型，该模型涵盖了通常的活性物质系统的宽广的时间尺度和长度尺度。在泊松过程之后，具有随机时间间隔的程序化力以时间相关性将由光阱产生的谐波电势扩散的粒子踢动。该模型的通用简单性使我们能够找到位移为高斯（或不为高斯），扩散如何受到脚踢干扰（或不受）的条件，并量化散热以维持主动浴池中的非平衡稳态。该模型再现了在游动藻类细胞活动浴中示踪剂迁移率的实验结果。