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Zeravcic, Zorana

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Zeravcic

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Zorana

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Zeravcic, Zorana

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2008 - 200912010 - 20141

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Author's Publications: search.filters.isAuthorOfPublication.86b65cff-a509-472d-ab20-da7bf1b8c45b

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Now showing 1 - 2 of 2
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    Size limits of self-assembled colloidal structures made using specific interactions
    (Proceedings of the National Academy of Sciences, 2014) Zeravcic, Zorana; Manoharan, Vinothan; Brenner, Michael
    We establish size limitations for assembling structures of controlled size and shape out of colloidal particles with short-ranged interactions. Through simulations we show that structures with highly variable shapes made out of dozens of particles can form with high yield, as long as each particle in the structure binds only to the particles in their local environment. To understand this, we identify the excited states that compete with the ground-state structure and demonstrate that these excited states have a completely topological characterization, valid when the interparticle interactions are short-ranged. This allows complete enumeration of the energy landscape and gives bounds on how large a colloidal structure can assemble with high yield. For large structures the yield can be significant, even with hundreds of particles.
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    Localization Behavior of Vibrational Modes in Granular Packings
    (EDP Sciences, 2008) Zeravcic, Zorana; Saarloos, Wim; Nelson, David
    We study the localization of vibrational modes of frictionless granular media. We introduce a new method, motivated by earlier work on non-Hermitian quantum problems, which works well both in the localized regime where the localization length \(\xi\) is much less than the linear size \(L\) and in the regime \(\xi \gsim L\) when modes are extended throughout our finite system. Our very lowest frequency modes show "quasi-localized" resonances away from the jamming point; the spatial extent of these regions increases as the jamming point is approached, as expected theoretically. Throughout the remaining frequency range, our data show no signature of the nearness of the jamming point and collapse well when properly rescaled with the system size. Using Random Matrix Theory, we derive the scaling relation \(\xi \sim L^{d/2}\) for the regime \(\xi \gg L\) in \(d\) dimensions.