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.

arXiv comment7 pages, 4 figures

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Cited by in corpus (10)

• Elementary vibrational model for transport properties of dense fluids
• 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?
• Note: Stokes-Einstein relation without hydrodynamic diameter in the TIP4P/Ice water model
• Description of longitudinal modes in moderately coupled Yukawa systems with the static local field correction
• Quasi-universal behaviour of shear relaxation times in simple fluids
• Comparing zero-parameter theories for the WCA and harmonic-repulsive melting lines
• Excess entropy scaling of the transverse sound speed in simple fluids