Numerical and Theoretical Study of a Monodisperse Hard-Sphere Glass Former

Details Numerical and Theoretical Study of a Monodisperse Hard-Sphere Glass Former Numerical and Theoretical Study of a Monodisperse Hard-Sphere Glass Former

2009-09-10

arxiv.org/abs/0909.1952v2

Phys. Rev. E 81, 040501(R) (2010

Physics

Condensed Matter

Statistical Mechanics

5 pages, 3 figures

Scientific paper

10.1103/PhysRevE.81.040501

There exists a variety of theories of the glass transition and many more numerical models. But because the models need built-in complexity to prevent crystallization, comparisons with theory can be difficult. We study the dynamics of a deeply supersaturated \emph{monodisperse} four-dimensional (4D) hard-sphere fluid, which has no such complexity, but whose strong intrinsic geometrical frustration inhibits crystallization, even when deeply supersaturated. As an application, we compare its behavior to the mode-coupling theory (MCT) of glass formation. We find MCT to describe this system better than any other structural glass formers in lower dimensions. The reduction in dynamical heterogeneity in 4D suggested by a milder violation of the Stokes-Einstein relation could explain the agreement. These results are consistent with a mean-field scenario of the glass transition.

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