Transport properties of Lennard-Jones fluids: Freezing density scaling along isotherms

Abstract

It is demonstrated that properly reduced transport coefficients (self-diffusion, shear viscosity, and thermal conductivity) of Lennard-Jones fluids along isotherms exhibit quasi-universal scaling on the density divided by its value at the freezing point. Moreover, this scaling is closely related to the density scaling of transport coefficients of hard-sphere fluids. The Stokes-Einstein relation without the hydrodynamic diameter is valid in the dense fluid regime. The lower density boundary of its validity can serve as a practical demarcation line between gas-like and liquid-like regimes.

6 pages, 4 figures

References in corpus (6)

• Strong pressure-energy correlations in van der Waals liquids
• Vibrational model of thermal conduction for fluids with soft interactions
• Sound velocities of Lennard-Jones systems near the liquid-solid phase transition
• Classical scattering in strongly attractive potentials
• Accurate transport cross sections for the Lennard-Jones potential
• Intermolecular distance and density scaling of dynamics in molecular liquids

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• Bridgman formula for the thermal conductivity of atomic and molecular liquids
• Elementary vibrational model for thermal conductivity of Lennard-Jones fluids: Applicability domain and accuracy level
• Freezing density scaling of transport coefficients in the Weeks-Chandler-Andersen fluid
• Quasi-universal behaviour of shear relaxation times in simple fluids
• Generalized Rosenfeld-Tarazona scaling and high-density specific heat of simple liquids
• Speed of sound in dense simple liquids
• Modified Bridgman formula for the thermal conductivity of complex (dusty) plasma fluids