Practical Kinetic Model for Hard Sphere Dynamics

Kinetic model for the hard-sphere fluid and solid

The revised Enskog kinetic theory ~RET! for a system of hard spheres provides an exceptionally broad description of mesoscopic and macroscopic dynamics, applicable for both fluid and solid phases, long and short wavelengths, low and high densities, and exact at short times. This great potential is compromised by the difficulty of obtaining solutions outside the domain of linear response. In the...

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.

Kinetic coefficient for hard-sphere crystal growth from the melt.

Using molecular-dynamics simulation, we determine the magnitude and anisotropy of the kinetic coefficient (mu) for the crystal growth from the melt for the hard-sphere system through an analysis of equilibrium capillary fluctuations in interfacial height. We find mu100 = 1.44(7), mu110 = 1.10(5), and mu111 = 0.64(3) in units of square root (kB/(mTm)), where kB is Boltzmann's constant, m is the ...

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.