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Brownian motion in a fluid close to its' critical point

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  • Mazur, P.
  • van der Zwan, G.

Abstract

The frequency dependent friction coefficient of a spherical Brownian particle of radius a in a compressible fluid close to its critical point is evaluated taking into account the large correlation length ζ of the density fluctuations in the fluid. The expression found depends for finite frequencies on the ratio a/Gx. It is furthermore shown that a negative contribution to the amplitude of the usual t−3/2 long time tail of the velocity autocorrelation function of the particle appears very close to the critical point when ζ ⪢ a.

Suggested Citation

  • Mazur, P. & van der Zwan, G., 1978. "Brownian motion in a fluid close to its' critical point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 92(3), pages 483-500.
    • Handle: RePEc:eee:phsmap:v:92:y:1978:i:3:p:483-500
    DOI: 10.1016/0378-4371(78)90147-4
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    Citations

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    Cited by:

    1. Van der Zwan, G., 1985. "A Faxén theorem for the reactivity of a spherical sink," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 131(1), pages 237-250.
    2. van Saarloos, W. & Mazur, P., 1983. "Many-sphere hydrodynamic interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 120(1), pages 77-102.
    3. Mazur, P. & van Saarloos, W., 1982. "Many-sphere hydrodynamic interactions and mobilities in a suspension," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 115(1), pages 21-57.
    4. Nieuwoudt, J.C. & Sengers, J.V., 1987. "Frequency dependence of transport properties of fluids near the critical point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 147(1), pages 368-386.
    5. Felderhof, B.U. & Jones, R.B., 1980. "Contracted description of fluctuating systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 102(1), pages 179-192.
    6. Mazur, P., 1982. "On the motion and Brownian motion of n spheres in a viscous fluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 110(1), pages 128-146.
    7. Weisenborn, A.J & Mazur, P, 1984. "The Oseen drag on a circular cylinder revisited," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 123(1), pages 191-208.
    8. Perez-Madrid, A. & Rubi, J.M., 1985. "Friction, diffusion and Brownian motion in suspensions of dipolar spherical particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 132(2), pages 438-456.
    9. van der Zwan, G. & Mazur, P., 1979. "Brownian motion in a fluid near its critical point II: The fluctuation-dissipation theorem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 98(1), pages 169-188.

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