电渗流中关键周期轨迹失稳的完全混沌混合
Complete Chaotic Mixing in an Electro-osmotic Flow by Destabilization of Key Periodic Pathlines
摘要：
产生完全或几乎完全混沌混合的能力在许多应用中，特别是对于微流体，具有极大的兴趣。为此，我们提出了一种策略，使我们能够快速的目标参数值在完全混合发生。该技术被施加到一个时间周期性的，二维电渗流的空间和时间变化的Helmoltz-Smoluchowski滑移边界条件。该策略包括遵循参数空间中一些关键周期轨迹线的线性稳定性（即，强迫的振幅和频率），特别是通过这种轨迹变得不稳定的分叉点。
英文摘要：
The ability to generate complete, or almost complete, chaotic mixing is of great interest in numerous applications, particularly for microfluidics. For this purpose, we propose a strategy that allows us to quickly target the parameter values at which complete mixing occurs. The technique is applied to a time periodic, two-dimensional electro-osmotic flow with spatially and temporally varying Helmoltz-Smoluchowski slip boundary conditions. The strategy consists of following the linear stability of some key periodic pathlines in parameter space (i.e., amplitude and frequency of the forcing), particularly through the bifurcation points at which such pathlines become unstable.
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