Transport coefficients for dense hard-disk systems

Abstract

A study of the transport coefficients of a system of elastic hard disks, based on the use of Helfand-Einstein expressions is reported. The self-diffusion, the viscosity, and the heat conductivity are examined with averaging techniques especially appropriate for the use in event-driven molecular dynamics algorithms with periodic boundary conditions. The density and size dependence of the results is analyzed, and comparison with the predictions from Enskog's theory is carried out. In particular, the behavior of the transport coefficients in the vicinity of the fluid-solid transition is investigated and a striking power law divergence of the viscosity in this region is obtained, while all other examined transport coefficients show a drop in that density range.

submitted to PRE

References in corpus (8)

• Global Equation of State of two-dimensional hard sphere systems
• Transport properties of dense dissipitive hard-sphere fluids for arbitrary energy loss models
• Diffusion in a Granular Fluid - Theory
• Green-Kubo Expressions for a Granular Gas
• Viscosity in molecular dynamics with periodic boundary conditions
• Exact Short Time Dynamics for Steeply Repulsive Potentials
• Shear Stress Correlations in Hard and Soft Sphere Fluids
• Molecular dynamics and theory for the contact values of the radial distribution functions of hard-disk fluid mixtures

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• Growing non-equilibrium length in granular fluids: from experiment to fluctuating hydrodynamics
• Low Mach Number Fluctuating Hydrodynamics of Diffusively Mixing Fluids
• The Stokes-Einstein Relation at Moderate Schmidt Number
• Critical Scaling of Bagnold Rheology at the Jamming Transition of Frictionless Two Dimensional Disks
• Universality of shear-banding instability and crystallization in sheared granular fluid
• Modified Stokes-Einstein Relation for Small Brownian Particles
• Bulk dynamics of Brownian hard disks: Dynamical density functional theory versus experiments on two-dimensional colloidal hard spheres
• Jet-induced jammed states of granular jet impacts
• Ratio of effective temperature to pressure controls the mobility of sheared hard spheres
• Scaling laws and bulk-boundary decoupling in heat flow
• Collisional Statistics and Dynamics of 2D Hard-Disk Systems: From Fluid to Solid
• Description of Brownian motion including both kinetic and hydrodynamic effects