On standardised moments of force distribution in simple liquids

preprint2021arXivOpen access

Abstract

The force distribution of a tagged atom in a Lennard-Jones fluid in the canonical ensemble is studied with a focus on its dependence on inherent physical parameters: number density (nn) and temperature (TT). Utilising structural information from molecular dynamics simulations of the Lennard-Jones fluid, explicit analytical expressions for the dependence of standardised force moments on nn and TT are derived. Leading order behaviour of standardised moments of the force distribution are obtained in the limiting cases of small density (n→0n \rightarrow 0) and low temperature (T→0T \rightarrow 0), while the variations in the standardised moments are probed for general nn and TT using molecular dynamics simulations. Clustering effects are seen in molecular dynamics simulations and their effect on these standardised moments is discussed.

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