论文标题
外力场中的活性布朗颗粒：现场理论模型，广义气压定律和可编程密度模式
Active Brownian particles in external force fields: field-theoretical models, generalized barometric law, and programmable density patterns
论文作者
论文摘要
我们研究了外力对两个和三个空间维度相互作用的活性布朗颗粒的集体动力学的影响。通过明确的粗晶粒，我们得出了适用于空间和时间依赖的外部力场的预测模型。我们研究了重力和谐波陷阱病例的这些模型。特别是，我们得出了一个广义的气压公式，用于在重力下相互作用的活性布朗颗粒，该公式适用于低到高浓度和颗粒活性的有效期。此外，我们表明，可以使用外部谐波陷阱来诱导运动性诱导的相位分离，而没有外部磁场，该系统仍处于均匀状态。这一发现使在活性布朗颗粒系统中实现可编程密度模式成为可能。我们的分析预测与布朗动力学模拟非常吻合。
We investigate the influence of external forces on the collective dynamics of interacting active Brownian particles in two as well as three spatial dimensions. Via explicit coarse graining, we derive predictive models that are applicable for space- and time-dependent external force fields. We study these models for the cases of gravity and harmonic traps. In particular, we derive a generalized barometric formula for interacting active Brownian particles under gravity that is valid for low to high concentrations and activities of the particles. Furthermore, we show that one can use an external harmonic trap to induce motility-induced phase separation in systems that, without external fields, remain in a homogeneous state. This finding makes it possible to realize programmable density patterns in systems of active Brownian particles. Our analytic predictions are found to be in very good agreement with Brownian dynamics simulations.
