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Three-particle collision effects in the transport properties of a gas of hard spheres

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  • Sengers, J.V.
  • Gillespie, D.T.
  • Perez-Esandi, J.J.

Abstract

A complete description of the kinetic behavior of a moderately dense gas requires an assessment of the effects of three-particle correlations. These correlations are of both a statistical and a dynamical nature. For a gas of hard spheres they can be classified as related to sequences of one, two, three and four successive collisions among three molecules. A quantitative analysis is made of the contributions of these collision sequences to the initial density dependence of the transport properties.

Suggested Citation

  • Sengers, J.V. & Gillespie, D.T. & Perez-Esandi, J.J., 1978. "Three-particle collision effects in the transport properties of a gas of hard spheres," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 90(3), pages 365-409.
    • Handle: RePEc:eee:phsmap:v:90:y:1978:i:3:p:365-409
    DOI: 10.1016/0378-4371(78)90001-8
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    References listed on IDEAS

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    1. Dorfman, Robert, 1969. "An Economic Interpretation of Optimal Control Theory," American Economic Review, American Economic Association, vol. 59(5), pages 817-831, December.
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    Cited by:

    1. Anisimov, M.A & Gorodetskii, E.E & Kulikov, V.D & Povodyrev, A.A & Sengers, J.V, 1995. "A general isomorphism approach to thermodynamic and transport properties of binary fluid mixtures near critical points," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 220(3), pages 277-324.
    2. van Leeuwen, J.M.J. & Sengers, J.V., 1984. "Gravity effects on the correlation length in gases near the critical point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 128(1), pages 99-131.
    3. Morita, T. & Sato, H. & Uematsu, M. & Watanabe, K., 1989. "PVT properties and vapor-pressures of ordinary water substance in the critical region," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 156(1), pages 436-453.
    4. Sengers, J.V. & Bedeaux, D. & Mazur, P. & Greer, S.C., 1980. "Behavior of the dielectric constant of fluids near a critical point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 104(3), pages 573-594.
    5. Tang, S. & Sengers, J.V. & Chen, Z.Y., 1991. "Nonasymptotic critical thermodynamical behavior of fluids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 179(3), pages 344-377.
    6. Trappeniers, N.J. & Boots, H.M.J. & Huijser, R.H. & Michels, A.C., 1980. "Investigation of multiple scattering contributions to the depolarization of light scattered by xenon and carbon dioxide in the critical region," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 103(3), pages 455-467.
    7. Sengers, J.V. & Van Leeuwen, J.M.J., 1982. "Nonlocal gravity-induced density profiles in gases near the critical point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 116(3), pages 345-367.
    8. Van Leeuwen, J.M.J. & Sengers, J.V., 1989. "Capillary waves of a vapor-liquid interface in a gravitational field very close to the critical temperature," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(2), pages 839-856.
    9. Povodyrev, A.A. & Anisimov, M.A. & Sengers, J.V. & Levelt Sengers, J.M.H., 1997. "Vapor-liquid equilibria, scaling, and crossover in aqueous solutions of sodium chloride near the critical line," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 244(1), pages 298-328.

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