标题： 活性布朗粒子悬浮液的流体力学微观推导 显示英文标题

标题： Microscopic derivation of the hydrodynamics of active-Brownian-particle suspensions

摘要： 我们推导了由欠阻尼朗之万方程描述的活性粒子流体的动力学方程，在过阻尼极限下，这些方程简化为活性布朗粒子模型。通过使用非平衡多粒子概率密度对粒子动力学进行局部平均，将系统收缩到流体动力学描述中，其形式表达式在高摩擦物理相关极限下通过多重时间尺度分析得到。这种方法允许确定自推进可以纳入流体应力张量的条件，从而系统且明确地定义活性流体的局部压力。 显示英文摘要

摘要： We derive the hydrodynamic equations of motion for a fluid of active particles described by under- damped Langevin equations that reduce to the Active-Brownian-Particle model, in the overdamped limit. The contraction into the hydrodynamic description is performed by locally averaging the par- ticle dynamics with the non-equilibrium many-particle probability density, whose formal expression is found in the physically relevant limit of high-friction through a multiple-time-scale analysis. This approach permits to identify the conditions under which self-propulsion can be subsumed into the fluid stress tensor and thus to define systematically and unambiguously the local pressure of the active fluid.