Do hydrodynamic interactions affect the swim pressure?
Do hydrodynamic interactions affect the swim pressure?
复制标题
水动力相互作用会影响游泳压力吗？
作者：
Eric W Burkholder;J. Brady
我们研究了一个大小为a的球形活跃布朗粒子（ABP）的运动，它以固定的速度U0运动，并在存在约束边界的时间尺度τR上重新定向。由于动量在嵌入流体中是守恒的，我们表明，边界上单位面积的平均力等于体机械压力P∞= P∞f + Π∞，其中P∞f为流体压力，Π∞为颗粒压力；无论粒子如何与边界相互作用，主动粒子和被动粒子都是如此。作为一个例子，我们研究了流体动力相互作用（HI）如何改变壁面处的颗粒相压力，并发现Πwall = n∞(kBT + ζ（Δ）U0l（Δ）/6)，其中ζ是游泳者的（Stokes）阻力，l = U0τR是行程长度，Δ是颗粒与壁面之间的最小间隙尺寸；as Δ→∞这是我们熟悉的游泳压力[Takatori et al., Phys.]。启。生态学报，2014,13(1):1-5。
We study the motion of a spherical active Brownian particle (ABP) of size a, moving with a fixed speed U0, and reorienting on a time scale τR in the presence of a confining boundary. Because momentum is conserved in the embedding fluid, we show that the average force per unit area on the boundary equals the bulk mechanical pressure P∞ = p∞f + Π∞, where p∞f is the fluid pressure and Π∞ is the particle pressure; this is true for active and passive particles alike regardless of how the particles interact with the boundary. As an example, we investigate how hydrodynamic interactions (HI) change the particle-phase pressure at the wall, and find that Πwall = n∞(kBT + ζ(Δ)U0l(Δ)/6), where ζ is the (Stokes) drag on the swimmer, l = U0τR is the run length, and Δ is the minimum gap size between the particle and the wall; as Δ → ∞ this is the familiar swim pressure [Takatori et al., Phys. Rev. Lett., 2014, 113, 1-5].
影响因子：
44.1
作者：
Marchetti, M. C.;Joanny, J. F.;Simha, R. Aditi
通讯作者：
Simha, R. Aditi
影响因子：
8.6
作者：
Drescher, Knut;Goldstein, Raymond E.;Tuval, Idan
通讯作者：
Tuval, Idan
影响因子：
8.6
作者：
Gorkhover, T.;Adolph, M.;Bostedt, C.
通讯作者：
Bostedt, C.