Wave Propagation And Landau-Type Damping In Liquids
Vincenzo Molinari, Domiziano Mostacci
TL;DR
This paper models intermolecular forces in liquids using a modified Lennard-Jones potential and a Vlasov equation to analyze wave propagation and Landau-type damping effects, revealing damping phenomena similar to plasma physics.
Contribution
It introduces a novel approach combining a modified Lennard-Jones potential with a Vlasov equation to study wave damping in liquids, extending plasma physics concepts to liquids.
Findings
Identification of a Landau-type damping effect in liquids
Derivation of a dispersion relation for wave propagation in liquids
Demonstration of damping phenomena analogous to plasma physics
Abstract
Intermolecular forces are modeled by means of a modified Lennard-Jones potential, introducing a distance of minimum approach, and the effect of intermolecular interactions is accounted for with a self consistent field of the Vlasov type. A Vlasov equation is then written and used to investigate the propagation of perturbations in a liquid. A dispersion relation is obtained and an effect of damping, analogous to what is known in plasmas as "Landau damping", is found to take place.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Quantum chaos and dynamical systems · Advanced Physical and Chemical Molecular Interactions