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Applied Optics

Applied Optics


  • Vol. 40, Iss. 24 — Aug. 20, 2001
  • pp: 4140–4145

Capillary-to-bulk crossover of nonequilibrium fluctuations in the free diffusion of a near-critical binary liquid mixture

Pietro Cicuta, Alberto Vailati, and Marzio Giglio  »View Author Affiliations

Applied Optics, Vol. 40, Issue 24, pp. 4140-4145 (2001)

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We have studied the nonequilibrium fluctuations that occur at the interface between two miscible phases of a near-critical binary mixture during a free-diffusion process. The small-angle static scattered intensity is the superposition of nonequilibrium contributions that are due to capillary waves and to bulk fluctuations. A linearized hydrodynamic description of the fluctuations allows us to isolate the two contributions and to determine an effective surface tension for the nonequilibrium interface. As the diffuse-interface thickness increases, we observe the crossover of the contribution from the capillary waves to the bulk fluctuations.

© 2001 Optical Society of America

OCIS Codes
(240.6690) Optics at surfaces : Surface waves
(240.6700) Optics at surfaces : Surfaces
(290.5870) Scattering : Scattering, Rayleigh

Original Manuscript: November 6, 2000
Revised Manuscript: March 28, 2001
Published: August 20, 2001

Pietro Cicuta, Alberto Vailati, and Marzio Giglio, "Capillary-to-bulk crossover of nonequilibrium fluctuations in the free diffusion of a near-critical binary liquid mixture," Appl. Opt. 40, 4140-4145 (2001)

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  1. A. Vailati, M. Giglio, “Giant fluctuations in a free diffusion process,” Nature 390, 262–265 (1997). [CrossRef]
  2. D. Brogioli, A. Vailati, M. Giglio, “Universal behavior of nonequilibrium fluctuations in free diffusion processes,” Phys. Rev. E 61, R1–R4 (2000). [CrossRef]
  3. P. Petitjeans, “Une tension de surface pour les fluids miscibles,” C. R. Acad. Sci. Paris 322, 673–679 (1996).
  4. S. E. May, J. V. Maher, “Capillary-wave relaxation for a meniscus between miscible liquids,” Phys. Rev. Lett. 67, 2013–2016 (1991). [CrossRef] [PubMed]
  5. D. H. Vlad, J. V. Maher, “Dissolving interfaces in the presence of gravity,” Phys. Rev. E 59, 476–478 (1999). [CrossRef]
  6. P. G. Smith, M. Van den Ven, S. G. Mason, “The transient interfacial tension between two miscible fluids,” J. Colloid Interface Sci. 80, 302–303 (1981). [CrossRef]
  7. D. D. Joseph, “Fluid dynamics of two miscible liquids with diffusion and gradient stresses,” Eur. J. Mech. B Fluids 9, 565–596 (1990).
  8. J. E. Mungall, “Interfacial tension in miscible two-fluid systems with linear viscoelastic rheology,” Phys. Rev. Lett. 73, 288–291 (1994). [CrossRef] [PubMed]
  9. P. Cicuta, A. Vailati, M. Giglio, “Equilibrium and nonequilibrium fluctuations at the interface between two fluid phases,” Phys. Rev. E 62, 4290–4296 (2000). [CrossRef]
  10. A. Vailati, M. Giglio, “q divergence of nonequilibrium fluctuations and its gravity-induced frustration in a temperature stressed liquid mixture,” Phys. Rev. Lett. 77, 1484–1487 (1996). [CrossRef] [PubMed]
  11. M. Carpineti, F. Ferri, M. Giglio, E. Paganini, U. Perini, “Salt-induced fast aggregation of polystyrene latex,” Phys. Rev. A 42, 7347–7354 (1990). [CrossRef] [PubMed]
  12. A. Bassini, S. Musazzi, E. Paganini, U. Perini, F. Ferri, “Self-aligning optical particle sizer for the monitoring of particle growth processes in industrial plants,” Rev. Sci. Instrum. 69, 2484–2494 (1998). [CrossRef]
  13. L. I. Mandelstamm, “Uber die Rauhigkeit freier Flussigkeitsoberflachen,” Ann. Phys. (Leipzig) 41, 609–624 (1913). [CrossRef]
  14. L. D. Landau, E. M. Lifshifz, Fluid Mechanics (Pergamon, New York, 1959).
  15. A. Vailati, M. Giglio, “Nonequilibrium fluctuations in time-dependent diffusion processes,” Phys. Rev. E 58, 4361–4371 (1998). [CrossRef]
  16. T. R. Kirkpatrick, E. G. D. Cohen, J. R. Dorfman, “Fluctuations in a nonequilibrium steady state. I. Small gradients,” Phys. Rev. A 26, 995–972 (1982). [CrossRef]
  17. D. Ronis, I. Procaccia, “Nonlinear resonant coupling between shear and heat fluctuations in fluids far from equilibrium,” Phys. Rev. A 26, 1812–1815 (1982). [CrossRef]
  18. B. M. Law, J. C. Nieuwoudt, “Noncritical liquid mixtures far from equilibrium: the Rayleigh line,” Phys. Rev. A 40, 3880–3885 (1989). [CrossRef] [PubMed]
  19. R. Schmitz, E. G. D. Cohen, “Fluctuations in a fluid under a stationary heat flux II. Slow part of the correlation matrix,” J. Stat. Phys. 40, 431–482 (1985). [CrossRef]
  20. B. M. Law, J. V. Sengers, “Fluctuations in fluids out of thermal equilibrium,” J. Stat. Phys. 57, 531–547 (1989). [CrossRef]
  21. B. M. Law, R. W. Gammon, J. V. Sengers, “Light-scattering observations of long-range correlations in a nonequilibrium liquid,” Phys. Rev. Lett. 60, 1554–1557 (1988). [CrossRef] [PubMed]
  22. P. N. Segre, R. W. Gammon, J. V. Sengers, B. M. Law, “Rayleigh scattering in a liquid far from thermal equilibrium,” Phys. Rev. A 45, 714–724 (1992). [CrossRef] [PubMed]
  23. P. N. Segre, R. W. Gammon, J. V. Sengers, “Light-scattering measurements of nonequilibrium fluctuations in a liquid mixture,” Phys. Rev. E 47, 1026–1034 (1993). [CrossRef]
  24. W. B. Li, P. N. Segre, R. W. Gammon, J. V. Sengers, “Small-angle Rayleigh scattering from nonequilibrium fluctuations in liquids and liquid mixtures,” Physica A 204, 399–435 (1994). [CrossRef]
  25. G. P. Galdi, D. D. Joseph, L. Preziosi, S. Rionero, “Mathematical problems for miscible, incompressible fluids with Korteweg stresses,” Eur. J. Mech. B Fluids 10, 253–267 (1991).
  26. W. J. Ma, P. Keblinski, A. Maritan, J. Koplik, R. Banavar, “Dynamical relaxation of the surface tension of miscible phases,” Phys. Rev. Lett. 71, 3465–3468 (1993). [CrossRef] [PubMed]
  27. J. W. Cahn, J. E. Hilliard, “Free energy of a nonuniform system. Interfacial free energy,” J. Chem. Phys. 28, 258–267 (1958). [CrossRef]
  28. D. Atack, O. K. Rice, “The interfacial tension and other properties of the cyclohexane + anyline system near the critical solution temperature,” Discuss. Faraday Soc. 15, 210–218 (1953). [CrossRef]
  29. J. S. Huang, W. W. Webb, “Viscous damping of thermal excitations on the interface of critical fluid mixtures,” Phys. Rev. Lett. 23, 160–163 (1969). [CrossRef]
  30. H. J. V. Tyrrell, Diffusion and Heat Flow in Liquids (Butterworths, London, 1961).

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