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High-dimensional surprises near the glass and the jamming transitions

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The glass problem is notoriously hard, but the recent solution of a microscopic mean-field model offers a novel path forward for exploring the problem. In this seminar, I will discuss how contrasting entropic caging and isostaticity at the glass and the jamming transitions, respectively, reveals the presence of a Gardner transition. This onset of mechanical marginality then explains the presence non-trivial critical exponents. I will also discuss how a family of finite-dimensional models ascribes a clear role for caging geometry and hopping in the dynamical slowdown of colloid-like glass formers, which enriches the traditional mean-field description.

This talk is part of the Extra Theoretical Chemistry Seminars series.

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