论文标题
具有可变液晶阶的剪切极性活性悬浮液的确切结果
Exact results for sheared polar active suspensions with variable liquid crystalline order
论文作者
论文摘要
我们考虑了一个具有均匀取向的狭窄剪切活性极性液体晶体，并研究了极化幅度变化的影响。将我们的分析限制为一维几何形状，我们证明，在不对称的边界条件下，通过线性剪切应力与剪切应变的关系在宏观上表征，该系统不会通过原点：以零应变速率，流体持续了非零应力。极化，密度和速度场的分析溶液是针对渐近较大或小型系统得出的，并通过与精确的数值溶液进行比较显示，是有限尺寸系统的良好近似值。
We consider a confined sheared active polar liquid crystal with a uniform orientation and study the effect of variations in the magnitude of polarization. Restricting our analysis to one-dimensional geometries, we demonstrate that with asymmetric boundary conditions, this system is characterized, macroscopically, by a linear shear stress vs. shear strain relationship that does not pass through the origin: At a zero strain rate, the fluid sustains a non-zero stress. Analytic solutions for the polarization, density, and velocity fields are derived for asymptotically large or small systems and are shown by comparison with precise numerical solutions to be good approximations for finite-size systems.
