Sound velocities of Lennard-Jones systems near the liquid-solid phase transition

Abstract

Longitudinal and transverse sound velocities of Lennard-Jones systems are calculated at the liquid-solid coexistence using the additivity principle. The results are shown to agree well with the ``exact'' values obtained from their relations to excess energy and pressure. Some consequences, in particular, in the context of the Lindemann's melting rule and Stokes-Einstein relation between the self-diffusion and viscosity coefficients are discussed. Comparison with available experimental data on the sound velocities of solid argon at melting conditions is provided.

7 pages, 5 figures, published in Molecules

References in corpus (6)

• Dynamical correlations and collective excitations of Yukawa liquids
• The instantaneous shear modulus in the shoving model
• Lindemann melting criterion in two dimensions
• Excess entropy determines the applicability of Stokes-Einstein relation in simple fluids
• Collective modes in simple melts: Transition from soft spheres to the hard sphere limit
• Elastic properties of dense hard-sphere fluids

Cited by in corpus (14)

• 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
• Freezing density scaling of fluid transport properties: Application to liquefied noble gases
• Bridgman formula for the thermal conductivity of atomic and molecular liquids
• When do soft spheres become hard spheres?
• Elementary vibrational model for thermal conductivity of Lennard-Jones fluids: Applicability domain and accuracy level
• Quasi-universal behaviour of shear relaxation times in simple fluids
• Note: Sound velocities of generalized Lennard-Jones ($n-6$) fluids near freezing
• Speed of sound in dense simple liquids
• Modified Bridgman formula for the thermal conductivity of complex (dusty) plasma fluids
• Variational approach to Yukawa fluids. II. Instantaneous elastic moduli and sound velocities
• Excess entropy scaling of the transverse sound speed in simple fluids