论文标题
弯曲表面上活性布朗颗粒的相位分离
Phase separation of active Brownian particles on curved surfaces
论文作者
论文摘要
研究了曲率对在球面上移动的排斥活性布朗颗粒（ABP）集合的影响。表面曲率强烈影响ABP的动态，因为它引入了新的时间尺度$τ= r/v_0 $，除了旋转扩散时间$τ_r$，还具有曲率半径$ r $和推进速度$ v_0 $。这意味着对于小$ r $，运动诱导的相位分离（MIP）消失。此外，它在p {é} clet number $ \ text {pe} $的相图中导致MIPS制度的缩小和粒子区域分数$ ϕ $。此外，低$ ϕ $处的相分开边界以小$ r $ $ $ $的转折点达到了一个转折点，从而有可能产生重新进入行为。这些结果表征了曲率对ABP动力学和MIP的影响，并将有助于更好地理解多孔培养基中细菌菌落对某些壁ni的首选占领。
The effect of curvature on an ensemble of repulsive active Brownian particles (ABPs) moving on a spherical surface is studied. Surface curvature strongly affects the dynamics of ABPs, as it introduces a new time scale $τ=R/v_0$, with curvature radius $R$ and propulsion velocity $v_0$, in addition to the rotational diffusion time $τ_r$. This implies that motility-induced phase separation (MIPS) disappears for small $R$. Furthermore, it causes a narrowing of the MIPS regime in the phase diagram of P{é}clet number $\text{Pe}$ and particle area fraction $ϕ$. Also, the phase-separation boundary at low $ϕ$ attains a turning point at small $R$, allowing for the possibility of a reentrant behavior. These results characterize the effect of curvature on ABP dynamics and MIPS, and will help to better understand the preferred occupation of certain niches by bacterial colonies in porous media.
