Freezing density scaling of transport coefficients in the Weeks-Chandler-Andersen fluid

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Auteurs principaux: Khrapak, S. A., Khrapak, A. G.
Format: Preprint
Publié: 2024
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author Khrapak, S. A.
Khrapak, A. G.
author_facet Khrapak, S. A.
Khrapak, A. G.
contents It is shown that the transport coefficients (self-diffusion, shear viscosity, and thermal conductivity) of the Weeks-Chandler-Anderson (WCA) fluid along isotherms exhibit a freezing density scaling (FDS). The functional form of this FDS is essentially the same or closely related to those in the Lennard-Jones fluid, hard-sphere fluid, and some liquefied noble gases. This proves that this FDS represents a quasi-universal corresponding state principle for simple classical fluids with steep interactions. Some related aspects such as Stokes-Einstein relation without a hydrodynamic diameter and gas-to-liquid dynamical crossover are briefly discussed. Simple fitting formula for the transport coefficients of the dense WCA fluid are suggested.
format Preprint
id arxiv_https___arxiv_org_abs_2404_16603
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Freezing density scaling of transport coefficients in the Weeks-Chandler-Andersen fluid
Khrapak, S. A.
Khrapak, A. G.
Statistical Mechanics
Soft Condensed Matter
Chemical Physics
It is shown that the transport coefficients (self-diffusion, shear viscosity, and thermal conductivity) of the Weeks-Chandler-Anderson (WCA) fluid along isotherms exhibit a freezing density scaling (FDS). The functional form of this FDS is essentially the same or closely related to those in the Lennard-Jones fluid, hard-sphere fluid, and some liquefied noble gases. This proves that this FDS represents a quasi-universal corresponding state principle for simple classical fluids with steep interactions. Some related aspects such as Stokes-Einstein relation without a hydrodynamic diameter and gas-to-liquid dynamical crossover are briefly discussed. Simple fitting formula for the transport coefficients of the dense WCA fluid are suggested.
title Freezing density scaling of transport coefficients in the Weeks-Chandler-Andersen fluid
topic Statistical Mechanics
Soft Condensed Matter
Chemical Physics
url https://arxiv.org/abs/2404.16603