论文标题
在二维中的主动巴丝粒子
Active-Passive Brownian Particle in Two Dimensions
论文作者
论文摘要
本文在经历了转化和旋转扩散的情况下，介绍了一个在两个维度上的活动粒子的模型。通常，为了建模活动粒子的运动，假定自动螺旋速度是恒定的，如著名的活性布朗运动模型中。这个假设远非现实中可能发生的事情。在这里，我们通过考虑随机的自我推广速度$ v（t）$来概括主动布朗运动。特别是，我们假设$ v（t）$是一个两国进程，$ v = 0 $（被动状态）和$ v = s $（活动状态）。两种状态之间的过渡还使用随机电报过程进行建模。预计提出的两态模型，我们称其为主动 - 充值的棕色粒子具有纯活性和纯无源 - 布朗尼粒子的特征。前两个位移和有效扩散系数的分析结果证实了这一预期。我们还表明，可以将运行和摔倒的粒子（例如动态细菌）映射到我们的模型，以使它们在大尺度的扩散率相等。
This paper presents a model for active particles in two dimensions with time-dependent self-propulsion speed undergoing both translational and rotational diffusion. Usually, for modeling the motion of active particles, the self-propulsion speed is assumed to be constant as in the famous model of active Brownian motion. This assumption is far from what may happen in reality. Here, we generalize active Brownian motion by considering stochastic self-propulsion speed $v(t)$. In particular, we assume that $v(t)$ is a two-state process with $v=0$ (passive state) and $v=s$ (active state). The transition between the two states is also modeled using the random telegraph process. It is expected that the presented two-state model where we call it active-passive Brownian particle has the characteristics of both pure active- and pure passive-Brownian particle. The analytical results for the first two moments of displacement and the effective diffusion coefficient confirm this expectation. We also show that a run-and-tumble particle (such as a motile bacterium) can be mapped to our model so that their diffusivities at large scales are equal.
