Molecular dynamics and theory for the contact values of the radial distribution functions of hard-disk fluid mixtures

Abstract

We report molecular dynamics results for the contact values of the radial distribution functions of binary additive mixtures of hard disks. The simulation data are compared with theoretical predictions from expressions proposed by Jenkins and Mancini [J. Appl. Mech. \textbf{54}, 27 (1987)] and Santos et al. [J. Chem. Phys. \textbf{117}, 5785 (2002)]. Both theories agree quantitatively within a very small margin, which renders the former still a very useful and simple tool to work with. The latter (higher-order and self-consistent) theory provides a small qualitative correction for low densities and is superior especially in the high-density domain.

arXiv comment9 pages, 6 figures

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• The Breakdown of Kinetic Theory in Granular Shear Flows
• Alternative Approaches to the Equilibrium Properties of Hard-Sphere Liquids
• Long Range Correlation in Granular Shear Flow II: Theoretical Implications
• Equation of state of polydisperse hard-disk mixtures in the high-density regime
• Contact values of the particle-particle and wall-particle correlation functions in a hard-sphere polydisperse fluid
• Athermal Jamming vs Thermalized Glassiness in Sheared Frictionless Particles
• Exploring anisotropic pressure and spatial correlations in strongly confined hard-disk fluids. Exact results
• Fourth virial coefficients of asymmetric nonadditive hard-disc mixtures
• Virial coefficients, equation of state, and demixing of binary asymmetric nonadditive hard-disk mixtures