论文标题
关于在主动悬架中游泳的稳定效果
On the stabilizing effect of swimming in an active suspension
论文作者
论文摘要
我们考虑了一个主动悬浮液的动力学模型。在某些政权中，游泳对悬架有稳定的影响。我们将这种效果量化在同质各向同性平衡附近，覆盖\overlineψ= \ text {const} $。值得注意的是，在没有粒子（转化和取向）扩散的情况下，游泳是唯一的稳定机制。在圆环上，在非扩展性方面，我们证明了线性兰道陷入了抑制应用文献中预测的稳定性阈值。随着较小的扩散，我们证明了Puller（前驱动游泳者）的任意平衡值的非线性稳定性，并以较小的浓度对拉特勒和推杆（后驱动游泳者）增强了耗散。在整个空间中，我们证明了由于泰勒分散剂的普遍真空平衡的非线性稳定性。
We consider a kinetic model of an active suspension of rod-like microswimmers. In certain regimes, swimming has a stabilizing effect on the suspension. We quantify this effect near homogeneous isotropic equilibria $\overlineψ = \text{const}$. Notably, in the absence of particle (translational and orientational) diffusion, swimming is the only stabilizing mechanism. On the torus, in the non-diffusive regime, we demonstrate linear Landau damping up to the stability threshold predicted in the applied literature. With small diffusion, we demonstrate nonlinear stability of arbitrary equilibrium values for pullers (front-actuated swimmers) and enhanced dissipation for both pullers and pushers (rear-actuated swimmers) at small concentrations. On the whole space, we prove nonlinear stability of the vacuum equilibrium due to generalized Taylor dispersion.
