Hard-Sphere-like Dynamics in a Non-Hard-Sphere Liquid

Hard-sphere-like dynamics in a non-hard-sphere liquid.

The collective dynamics of liquid gallium close to the melting point has been studied using inelastic x-ray scattering to probe length scales smaller than the size of the first coordination shell. Although the structural properties of this partially covalent liquid strongly deviate from a simple hard-sphere model, the dynamics, as reflected in the quasielastic scattering, are beautifully descri...

Dynamics of hard-sphere suspensions.

Free volume in the hard sphere liquid

A method is developed for the efficient calculation of free volumes and corresponding surface areas in the hard sphere system by extending a previous method for calculating, exactly, cavity volumes in sphere packings. This method is used for the first time to evaluate the free-volume distribution of the hard sphere liquid over a range of densities near the freezing transition. From the distribu...

Metastable dynamics of the hard-sphere system.

The reformulation of the mode-coupling theory (MCT) of the liquid-glass transition which incorporates the element of metastability is applied to the hard-sphere system. It is shown that the glass transition in this system is not a sharp one at the special value of the density or the packing fraction, which is in contrast to the prediction by the conventional MCT. Instead we find that the slowin...

A percolating hard sphere model

Given a homogeneous Poisson point process in R, Häggström and Meester [2] asked whether it is possible to place spheres (of differing radii) centred at the points, in a translation-invariant way, so that the spheres do not overlap but there is an unbounded component of touching spheres. We prove that the answer is yes in sufficiently high dimension.