Liquids equilibrated below an onset condition share similar inherent states, while those above that have states markedly differ. Although this type of materials memory was first reported in simulations over 20 years ago, its physical origin remains controversial. Its absence from mean-field descriptions, particular, has long cast doubt on thermodynamic relevance. Motivated by a recent theoretic...

We study packings of hard spheres on lattices. The partition function, and therefore the pressure, may be written solely in terms accessible free volume, i.e., volume space that a sphere can explore without touching another sphere. compute these volumes using leaky cell model, which accounts for possibility escape from local cage lattice neighbors. describe how elementary geometry used to calcu...

A set of hard spheres with tangential inelastic collision is found to reproduce observations of real and numerical granular matter. After time is scaled so as to cancel energy dissipation due to inelastic collisions out, inelastically colliding hard spheres in two dimensional space come to have 1/f fluctuation of total energy, non-Gaussian distribution of displacement vectors, and convective mo...

It has been shown by Stell [J. Stat. Phys., 63, 1203 (1991)] that at low temperature monodisperse sticky spheres collapse to form coexisting close-packed solid and infinitely dilute gases. We show that polydisperse sticky spheres also collapse and calculate the collapse temperature. The polydisperse spheres separate into fractions with narrower polydispersities which can then solidify. This is ...

Polydisperse mixtures are those in which components with a whole range of sizes are present. It is shown that the fluid phase of polydisperse hard spheres is thermodynamically unstable unless the density of large spheres decreases at least exponentially as their size increases. The instability is with respect to the large spheres crystallising out into multiple solid phases. PACS: 64.10.+h, 64....