Do hydrodynamic interactions affect the swim pressure

摘要: We study the motion of a spherical active Brownian particle (ABP) size a, moving with fixed speed U0, and reorienting on time scale τR in presence confining boundary. Because momentum is conserved embedding fluid, we show that average force per unit area boundary equals bulk mechanical pressure P∞ = p∞f + Π∞, where fluid Π∞ pressure; this true for passive particles alike regardless how interact As an example, investigate hydrodynamic interactions (HI) change particle-phase at wall, find Πwall n∞(kBT ζ(Δ)U0(Δ)/6), ζ (Stokes) drag swimmer, U0τR run length, Δ minimum gap between wall; as → ∞ familiar swim [Takatori et al., Phys. Rev. Lett., 2014, 113, 1–5].