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Fluctuations in inhomogeneous and nonequilibrium fluids under the influence of gravity

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  • Segrè, P.N.
  • Schmitz, R.
  • Sengers, J.V.

Abstract

An analysis is presented of the Rayleigh component of the dynamic structure factor of a fluid under the influence of gravity and of a stationary temperature gradient. A conservative force like gravity in the absence of a temperature gradient modifies the Rayleigh spectrum, but not the integrated intensity. A dissipative thermodynamic force, like a temperature gradient, yields a modification of the Rayleigh spectrum and an enhancement of the Rayleigh-line intensity which varies as k-4 with the wave number k of the fluctuations. In the presence of both gravity and a temperature gradient, this k-4 growth law of the nonequilibrium fluctuations saturates for very small wave numbers.

Suggested Citation

  • Segrè, P.N. & Schmitz, R. & Sengers, J.V., 1993. "Fluctuations in inhomogeneous and nonequilibrium fluids under the influence of gravity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 195(1), pages 31-52.
    • Handle: RePEc:eee:phsmap:v:195:y:1993:i:1:p:31-52
    DOI: 10.1016/0378-4371(93)90252-Y
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    References listed on IDEAS

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    1. Vidal, D. & Guengant, L. & Lallemand, M., 1979. "Vitesse des ultrasons dans les gaz rares sous haute pression a la temperature de 298.15 K," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 96(3), pages 545-560.
    2. Joël Allain & Catherine Blum-Girardeau, 1980. "Le commerce de détail de 1968 à 1978," Économie et Statistique, Programme National Persée, vol. 118(1), pages 3-14.
    3. Pagonabarraga, I. & Rubí, J.M. & Torner, L., 1991. "Boundary effects in the Rayleigh line for a fluid out of thermal equilibrium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 173(1), pages 111-124.
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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. Vailati, Alberto & Giglio, Marzio, 1997. "Study of the q divergence of nonequilibrium fluctuations in a stressed fluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 235(1), pages 105-109.

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