Elastic properties of dense hard-sphere fluids

Abstract

A new analysis of elastic properties of dense hard sphere (HS) fluids is presented, based on the expressions derived by Miller [J. Chem. Phys. {\bf 50}, 2733 (1969)]. Important consequences for HS fluids in terms of sound waves propagation, Poisson's ratio, Stokes-Einstein relation, and generalized Cauchy identity are explored. Conventional expressions for high-frequency elastic moduli for simple systems with continuous and differentiable interatomic interaction potentials are known to diverge when approaching the HS repulsive limit. The origin of this divergence is identified here. It is demonstrated that these conventional expressions are only applicable for sufficiently soft interactions and should not be applied to HS systems. The reported results can be of interest in the context of statistical physics, physics of fluids, soft condensed matter, and granular materials.

7 pages, 4 figures

References in corpus (4)

• The instantaneous shear modulus in the shoving model
• Fluid approach to evaluate sound velocity in Yukawa systems (complex plasmas)
• Collective modes in simple melts: Transition from soft spheres to the hard sphere limit
• Onset of negative dispersion in one-component-plasma revisited

Cited by in corpus (5)

• Vibrational model of thermal conduction for fluids with soft interactions
• Sound velocities of Lennard-Jones systems near the liquid-solid phase transition
• Instantaneous shear modulus of Yukawa fluids across coupling regimes
• When do soft spheres become hard spheres?
• Description of longitudinal modes in moderately coupled Yukawa systems with the static local field correction