Hard-sphere kinetic-theory analysis of classical, simple liquids

Paulo M. Furtado, Gene F. Mazenko, and Sidney Yip
Phys. Rev. A 12, 1653 – Published 1 October 1975
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Abstract

The Enskog transport equation, suitably modified to give the proper short-time behavior, is used to study the phase-space density correlation function of a dense fluid of hard spheres. The method of kinetic models is used to obtain numerical solutions for the dynamic structure factor S(Q, ω); in particular, results are obtained for liquid argon. It is found that for the hard-sphere calculations to give a satisfactory description of the available experimental data produced by computer molecular dynamics studies and neutron inelastic scattering measurements, the factor g(r0), the pair distribution at contact, should be replaced by a wavelength-dependent quantity. Moreover, the wavelength dependence determined by fitting the experimental data shows a close correlation with the well-known behavior of the static structure factor S(Q). Possible reasons for a nonlocal g(r0) are discussed.

  • Received 3 March 1975

DOI:https://doi.org/10.1103/PhysRevA.12.1653

©1975 American Physical Society

Authors & Affiliations

Paulo M. Furtado

  • Department of Nuclear Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

Gene F. Mazenko

  • The James Franck Institute and Department of Physics, The University of Chicago, Chicago, Illinois 60637

Sidney Yip

  • Department of Nuclear Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

Comments & Replies

Kinetic-model description of dense hard-sphere fluids

Paulo M. Furtado, Gene F. Mazenko, and Sidney Yip
Phys. Rev. A 13, 1641 (1976)

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Vol. 12, Iss. 4 — October 1975

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