Researh Note: Stokes-Einstein relation in simple fluids revisited

Abstract

In this Research Note the Zwanzig's formulation of the Stokes-Einstein (SE) relation for simple atomistic fluids is re-examined. It is shown that the value of the coefficient in SE relation depends on the ratio of the transverse and longitudinal sound velocities. In some cases, this ratio can be directly related to the pair interaction potential operating in fluids and thus there can be a certain level of predictivity regarding the value of this coefficient. This Research Note provides some evidence in favour of this observation. In particular, analyzing the situation in several model systems such as one-component plasma, Yukawa, inverse-power-law, Lennard-Jones, and hard-sphere fluids, it is demonstrated that there are certain correlations between the interaction softness and the coefficient in SE relation. The SE coefficient is also re-evaluated for various liquid metals at the melting temperature, for which necessary data are available.

Short research note; 3 pages, 2 figures

References in corpus (3)

• Accurate Determination of the Shear Viscosity of the One-Component Plasma
• Collective modes in simple melts: Transition from soft spheres to the hard sphere limit
• Practical formula for the shear viscosity of Yukawa fluids

Cited by in corpus (18)

• Lindemann melting criterion in two dimensions
• Excess entropy determines the applicability of Stokes-Einstein relation in simple fluids
• Elementary vibrational model for transport properties of dense fluids
• Transport properties of Lennard-Jones fluids: Freezing density scaling along isotherms
• Vibrational model of thermal conduction for fluids with soft interactions
• Sound velocities of Lennard-Jones systems near the liquid-solid phase transition
• Unified description of sound velocities in strongly coupled Yukawa systems of different spatial dimensionality
• Note: Gas-liquid crossover in the Lennard-Jones system
• Freezing density scaling of fluid transport properties: Application to liquefied noble gases
• Elastic properties of dense hard-sphere fluids
• Instantaneous shear modulus of Yukawa fluids across coupling regimes
• Excess entropy of strongly coupled Yukawa fluids
• Note: Stokes-Einstein relation without hydrodynamic diameter in the TIP4P/Ice water model
• On the system size dependence of the diffusion coefficients in MD simulations: A simple correction formula for pure dense fluids
• Vibrational model of heat transfer in strongly coupled Yukawa fluids (dusty plasma liquids)
• Freezing density scaling of transport coefficients in the Weeks-Chandler-Andersen fluid
• Excess entropy scaling of the transverse sound speed in simple fluids
• Variational approach to Yukawa fluids. II. Instantaneous elastic moduli and sound velocities