Self-diffusion in a monatomic glassforming liquid embedded in the hyperbolic plane

Details Self-diffusion in a monatomic glassforming liquid embedded in the hyperbolic plane Self-diffusion in a monatomic glassforming liquid embedded in the hyperbolic plane

2008-05-19

arxiv.org/abs/0805.2819v2

Philosophical Magazine,88:33,4025 (2008)

Physics

Condensed Matter

Statistical Mechanics

Article for the "11th International Workshop on Complex Systems"

Scientific paper

10.1080/14786430802558569

We study by Molecular Dynamics simulation the slowing down of particle motion in a two-dimensional monatomic model: a Lennard-Jones liquid on the hyperbolic plane. The negative curvature of the embedding space frustrates the long-range extension of the local hexagonal order. As a result, the liquid avoids crystallization and forms a glass. We show that, as temperature decreases, the single particle motion displays the canonical features seen in real glassforming liquids: the emergence of a "plateau" at intermediate times in the mean square displacement and a decoupling between the local relaxation time and the (hyperbolic) diffusion constant.

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