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Percolation of functionalized colloids on patterned substrates

Abstract

We study the percolation properties for a system of functionalized colloids on patterned substrates via Monte Carlo simulations. The colloidal particles are modeled as hard disks with three equally-distributed attractive patches on their perimeter. We describe the patterns on the substrate as circular potential wells of radius Rp arranged in a regular square or hexagonal lattice. We find a nonmonotonic behavior of the percolation threshold (packing fraction) as a function of Rp. For attractive wells, the percolation threshold is higher than the one for clean (non-patterned) substrates if the circular wells are non-overlapping and can only be lower if the wells overlap. For repulsive wells we find the opposite behavior. In addition, at high packing fractions the formation of both structural and bond defects suppress percolation. As a result, the percolation diagram is reentrant with the non-percolated state occurring at very low and intermediate densities.

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Publication details

The article was received on 28 Feb 2018, accepted on 15 Apr 2018 and first published on 16 Apr 2018


Article type: Paper
DOI: 10.1039/C8SM00406D
Citation: Soft Matter, 2018, Accepted Manuscript
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    Percolation of functionalized colloids on patterned substrates

    L. L. L. Treffenstädt, N. A. M. Araújo and D. de las Heras, Soft Matter, 2018, Accepted Manuscript , DOI: 10.1039/C8SM00406D

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