Microscopic Origins of the Viscosity of a Lennard-Jones Liquid

Farid Rizk, Simon Gelin, Anne-Laure Biance, and Laurent Joly
Phys. Rev. Lett. 129, 074503 – Published 11 August 2022
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Abstract

Unlike crystalline solids or ideal gases, transport properties remain difficult to describe from a microscopic point of view in liquids, whose dynamics result from complex energetic and entropic contributions at the atomic scale. Two scenarios are generally proposed: one represents the dynamics in a fluid as a series of energy-barrier crossings, leading to Arrhenius-like laws, while the other assumes that atoms rearrange themselves by collisions, as exemplified by the free volume model. To assess the validity of these two views, we computed, using molecular dynamics simulations, the transport properties of the Lennard-Jones fluid and tested to what extent the Arrhenius equation and the free volume model describe the temperature dependence of the viscosity and of the diffusion coefficient at fixed pressure. Although both models reproduce the simulation results over a wide range of pressure and temperature covering the liquid and supercritical states of the Lennard-Jones fluid, we found that the parameters of the free volume model can be estimated directly from local structural parameters, also obtained in the simulations. This consistency of the results gives more credibility to the free volume description of transport properties in liquids.

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  • Received 31 March 2022
  • Accepted 26 July 2022

DOI:https://doi.org/10.1103/PhysRevLett.129.074503

© 2022 American Physical Society

Physics Subject Headings (PhySH)

  1. Physical Systems
  1. Properties
Statistical Physics & ThermodynamicsCondensed Matter, Materials & Applied PhysicsFluid Dynamics

Authors & Affiliations

Farid Rizk1, Simon Gelin1, Anne-Laure Biance1, and Laurent Joly1,2,*

  • 1Univ Lyon, Univ Claude Bernard Lyon 1, CNRS, Institut Lumière Matière, F-69622 VILLEURBANNE, France
  • 2Institut Universitaire de France (IUF), 1 rue Descartes, 75005 Paris, France

  • *laurent.joly@univ-lyon1.fr

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Issue

Vol. 129, Iss. 7 — 12 August 2022

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