A New Approach to Hard Sphere System in Equilibrium. III: Two Dimensional Hard Disk System

Equilibrium glassy phase in a polydisperse hard-sphere system.

The phase diagram of a polydisperse hard-sphere system is examined by numerical minimization of a discretized form of the Ramakrishnan-Yussouff free-energy functional. Crystalline and glassy local minima of the free energy are located and the phase diagram in the density-polydispersity plane is mapped out by comparing the free energies of different local minima. The crystalline phase disappears...

Phase Transition for a Hard Sphere System

Jamming in Hard Sphere and Disk Packings

Aleksandar Donev, 2 Salvatore Torquato, 3, ∗ Frank H. Stillinger, and Robert Connelly Program in Applied and Computational Mathematics, Princeton University, Princeton NJ 08544 Princeton Materials Institute, Princeton University, Princeton NJ 08544 Department of Chemistry, Princeton University, Princeton NJ 08544 Department of Mathematics, Cornell University, Ithaca NY 14853 (Dated: 24th Octobe...

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...

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...