We will discuss two recent directions of our work: (1) The influence of submicron length scales on polymer dynamics, (2) Ultra-rapid mixing via sub-micron hydrodynamic focusing. (1) Polymer dynamics at sub-micron length scales. We have explored the changes in the dynamics of long polymers as the thickness of the quasi-2 dimensional space is varied from 0.09 microns to 10 microns. We will show how the thickness of this space, scaled with the persistence length of the polymer, changes the dynamics of the polymer. The consequences of this qualitative change in polymer dynamics is quite important, since it controls the elongation of the polymer at a given force field and hence the ability of he array to fractionate the polymer. (2) Mixing at the sub- micron length scale cannot be tubulent but only diffusive in nature. We will show how it is possible using hydrodynamics to produce liquid jets of width under 20 nanometers which can mix fluids in under 1 microsecond times.
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