Droplet-based microfluidic systems have been used for various applications in chemical and biological community including fast kinetic measurements, synthesis of nanoparticles, protein crystallization, single cell level gene expression, DNA amplification and others [1-3]. Achieving fast mixing is a crucial step for all of these microfluidic applications. It has been reported in the literature that introducing chaotic advection through a serpentine geometry enhances the mixing otherwise controlled by inherent molecular diffusion [4,5]. However, qualitative and quantitative description of this mixing inside micro-droplets is still debatable. This leads to two key questions: Specifically, if this mixing can be seen as bakers transformation and if there exists a universal scaling of the mixing time.
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