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Sound Velocities of Generalized Lennard-Jones (n − 6) Fluids Near Freezing
Authors:Sergey Khrapak
Affiliation:1.Reseash and Edicational Centre for Ion, Bauman Moscow State Technical University, 105005 Moscow, Russia;2.Joint Institute for High Temperatures, Russian Academy of Sciences, 125412 Moscow, Russia
Abstract:In a recent paper [S. Khrapak, Molecules 25, 3498 (2020)], the longitudinal and transverse sound velocities of a conventional Lennard–Jones system at the liquid–solid coexistence were calculated. It was shown that the sound velocities remain almost invariant along the liquid–solid coexistence boundary lines and that their magnitudes are comparable with those of repulsive soft-sphere and hard-sphere models at the fluid–solid phase transition. This implies that attraction does not considerably affect the magnitude of the sound velocities at the fluid–solid phase transition. This paper provides further evidence to this by examining the generalized Lennard–Jones (n − 6) fluids with n ranging from 12 to 7 and demonstrating that the steepness of the repulsive term has only a minor effect on the magnitude of the sound velocities. Nevertheless, these minor trends are identified and discussed.
Keywords:Lennard–  Jones systems, generalized (n −   6) Lennard–  Jones potential, sound velocities, fluid–  solid phase transition, longitudinal and transverse collective modes
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