Abstract
In this paper we study the large scale transport of the DNA particles through a heterogeneous micro array in the framework of homogenization theory. We derive the macro scale particle transport equation and show that for transport of particles in a divergence free electric field as proposed by Duke and Austin [Du98] and Ertas [Er98] separation according to particle mass or size cannot been achieved. Our results explain the experimental findings of Duke and Austin [Du98] and Ertas [Er98] and thus close the gap between theory and experiment.
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Abdulle, A., Attinger, S. (2004). Homogenization Method for Transport of DNA Particles in Heterogeneous Arrays. In: Attinger, S., Koumoutsakos, P. (eds) Multiscale Modelling and Simulation. Lecture Notes in Computational Science and Engineering, vol 39. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18756-8_2
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DOI: https://doi.org/10.1007/978-3-642-18756-8_2
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