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Gravity effects on the correlation length in gases near the critical point

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  • van Leeuwen, J.M.J.
  • Sengers, J.V.

Abstract

The paper deals with the question how critical fluctuations in gases are affected by the presence of a gravitational field. We have investigated the effects of gravity using a squared-gradient approximation for the free energy density. It is found that the order-parameter correlation function and, hence, the scattering function becomes anisotropic and that the correlation length remains finite in all directions. Data are presented yielding the correlation length parallel and perpendicular to the gravitational field as a function of the temperature and of the vertical position in the gas.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:128:y:1984:i:1:p:99-131
    DOI: 10.1016/0378-4371(84)90083-9
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    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Clerke, E.A. & Sengers, J.V., 1983. "Fast pressure quenches near the critical point of a binary liquid mixture," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 118(1), pages 360-370.
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    Citations

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    Cited by:

    1. 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.
    2. Van Leeuwen, J.M.J. & Sengers, J.V., 1985. "Gravity effects on the vapor-liquid interface very close to the critical temperature," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 132(2), pages 207-232.
    3. Kestin, J. & Imaishi, N. & Nott, S.H. & Nieuwoudt, J.C. & Sengers, J.V., 1985. "Viscosity of light and heavy water and their mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 134(1), pages 38-58.
    4. 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.
    5. Sikkenk, J.H. & van Leeuwen, J.M.J., 1986. "ε-Expansion for the interfacial profile in an external field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 137(1), pages 156-177.

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