We use fluctuating hydrodynamics to derive expressions for the spatial and temporal spectra of concentration fluctuations in a ternary liquid mixture in equilibrium. Our results agree with those found by other investigators who have used a procedure in which arbitrary initial values are adopted. Our method of using fluctuating hydrodynamics has the advantage that it can also be extended to deal with fluctuations in systems out of equilibrium.
José M. Ortiz de Zárate 1 ; Jorge Luis Hita 1 ; Jan V. Sengers 2
@article{CRMECA_2013__341_4-5_399_0, author = {Jos\'e M. Ortiz de Z\'arate and Jorge Luis Hita and Jan V. Sengers}, title = {Fluctuating hydrodynamics and concentration fluctuations in ternary mixtures}, journal = {Comptes Rendus. M\'ecanique}, pages = {399--404}, publisher = {Elsevier}, volume = {341}, number = {4-5}, year = {2013}, doi = {10.1016/j.crme.2013.01.018}, language = {en}, }
TY - JOUR AU - José M. Ortiz de Zárate AU - Jorge Luis Hita AU - Jan V. Sengers TI - Fluctuating hydrodynamics and concentration fluctuations in ternary mixtures JO - Comptes Rendus. Mécanique PY - 2013 SP - 399 EP - 404 VL - 341 IS - 4-5 PB - Elsevier DO - 10.1016/j.crme.2013.01.018 LA - en ID - CRMECA_2013__341_4-5_399_0 ER -
%0 Journal Article %A José M. Ortiz de Zárate %A Jorge Luis Hita %A Jan V. Sengers %T Fluctuating hydrodynamics and concentration fluctuations in ternary mixtures %J Comptes Rendus. Mécanique %D 2013 %P 399-404 %V 341 %N 4-5 %I Elsevier %R 10.1016/j.crme.2013.01.018 %G en %F CRMECA_2013__341_4-5_399_0
José M. Ortiz de Zárate; Jorge Luis Hita; Jan V. Sengers. Fluctuating hydrodynamics and concentration fluctuations in ternary mixtures. Comptes Rendus. Mécanique, Volume 341 (2013) no. 4-5, pp. 399-404. doi : 10.1016/j.crme.2013.01.018. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2013.01.018/
[1] Metrology of the thermodiffusion coefficients in a ternary system, J. Non-Equilib. Thermodyn., Volume 30 (2005), p. 385
[2] Measurements of molecular and thermal diffusion coefficients in ternary mixtures, J. Chem. Phys., Volume 122 (2005), p. 234502
[3] Comparison of mutual diffusion coefficient data in a ternary liquid mixture obtained by various experimental techniques, Fluid Phase Equilib., Volume 228–229 (2005), p. 283
[4] Measurement of diffusion in ternary liquid mixtures by light scattering technique and comparison with Taylor dispersion data, Int. J. Thermophys., Volume 29 (2008), p. 1921
[5] Ternary diffusion coefficients of cyclohexane + toluene + methanol by Taylor dispersion measurements at 298.15 K. Part 1. Toluene rich area, J. Chem. Eng. Data, Volume 54 (2009), pp. 405-410
[6] Ternary diffusion coefficients of cyclohexane + toluene + methanol by Taylor dispersion measurements at 298.15 K. Part 2. Low toluene rich area, J. Chem. Eng. Data, Volume 54 (2009), pp. 485-490
[7] Thermodiffusion coefficients of binary and ternary hydrocarbon mixtures, J. Chem. Phys., Volume 132 (2010), p. 114506
[8] Measurement of diffusion and thermal diffusion in ternary fluid mixtures using a two-color optical beam deflection technique, J. Chem. Phys., Volume 132 (2010), p. 174506
[9] Measurements of optical properties in ternary mixture: cyclohexane–toluene–methanol, J. Chem. Eng. Data, Volume 57 (2012), p. 1036
[10] A. Mialdun, C. Minetti, Y. Gaponenko, V. Shevtsova, F. Dubois, Analysis of the thermal performance of SODI instrument for DCMIX configuration, Microgravity Sci. Technol. (2013) published online, . | DOI
[11] Non-Equilibrium Thermodynamics, North-Holland, Amsterdam, 1962
[12] Multicomponent Mass Transfer, Wiley, 1993
[13] Nonequilibrium Thermodynamics, Elsevier, Amsterdam, 2002
[14] Fluctuating hydrodynamics and irreversible thermodynamics, J. Non-Equilib. Thermodyn., Volume 26 (2001), pp. 279-290
[15] Hydrodynamic Fluctuations in Fluids and Fluid Mixtures, Elsevier, Amsterdam, 2006
[16] Light-scattering spectrum of a viscoelastic fluid subjected to an external temperature gradient, Rev. Mex. Fis. Suppl., Volume 48 (2002) no. 1, pp. 230-237
[17] Contributions to non-equilibrium thermodynamics. I. Theory of hydrodynamical fluctuations, Phys. Fluids, Volume 13 (1970), pp. 1893-1902
[18] Fluid Mechanics, Pergamon, London, 1959 (Chapter XVII)
[19] Spectral distribution of scattered light in a simple fluid, Rev. Mod. Phys., Volume 38 (1966), pp. 205-214
[20] Light scattering from binary solutions, J. Chem. Phys., Volume 50 (1969), pp. 1103-1108
[21] Molecular Hydrodynamics, McGraw–Hill, New York, 1980 (Chapter 5)
[22] Dynamic Light Scattering, Wiley, New York, 1976 (Chapter 10)
[23] Theory of Simple Liquids, Academic Press, London, 1986 (Chapter 8)
[24] Hydrodynamic correlation functions for binary mixtures, Phys. Chem. Liquids, Volume 2 (1971), pp. 213-235
[25] Nondiffusive decay of gradient-driven fluctuations in a free-diffusion process, Phys. Rev. E, Volume 76 (2007), p. 041112
[26] Thermal fluctuations in a layer of liquid CS2 subjected to temperature gradients with and without the influence of gravity, Phys. Rev. Lett., Volume 106 (2011), p. 244502
[27] Fluctuations in fluids out of thermal equilibrium, J. Stat. Phys., Volume 57 (1989), pp. 531-547
[28] Spectral analysis of light scattered by a ternary mixture, J. Chem. Soc., Faraday Trans., Volume 2 (1974) no. 70, pp. 1088-1097
[29] Rayleigh–Brillouin scattering from multicomponent mixtures: the Landau–Placzek ratio, J. Appl. Phys., Volume 66 (1989), pp. 2118-2121
[30] Multiexponential decay autocorrelation function in dynamic light scattering in near-critical ternary liquid mixture, J. Chem. Phys., Volume 125 (2006), p. 104507
[31] On the interpretation of ternary diffusion measurements in low-molecular weight fluids by dynamic light scattering, Fluid Phase Equilib., Volume 251 (2007), pp. 121-127
[32] Thermal diffusion and convective instability. II. An analysis of the convected fluxes, Phys. Fluids, Volume 15 (1972), pp. 1707-1714
[33] Nonequilibrium concentration fluctuations in binary liquid systems induced by the Soret effect (W. Köhler; S. Wiegand, eds.), Thermal Nonequilibrium Phenomena in Fluid Mixtures, Lect. Notes Phys., vol. 584, Springer, Berlin, 2002, pp. 121-145
[34] Long-wavelength nonequilibrium concentration fluctuations induced by the Soret effect, Phys. Rev. E, Volume 74 (2006), p. 046305
[35] Ternary diffusion in Copper–Silver–Gold alloys, Trans. Metall. Soc. AIME, Volume 239 (1967), pp. 942-954
[36] Verification of the Onsager reciprocal relations in a molten silicate, Science, Volume 259 (1993) no. 5092, pp. 204-206
[37] Application of irreversible thermodynamics to electrolyte solutions. II. Ionic coefficients for isothermal vector processes in ternary systems, J. Phys. Chem., Volume 71 (1967), p. 616
[38] Ternary isothermal diffusion and the validity of the Onsager reciprocal relations in nonassociating systems, J. Phys. Chem., Volume 73 (1969), pp. 1268-1274
[39] Quasielastic light scattering from semidilute ternary polymer solutions of polystyrene and poly(methyl methacrylate) in benzene, Macromolecules, Volume 29 (1996), pp. 2011-2018
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