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Analysis of Non-Equilibrium Fluctuations In A Ternary Liquid Mixture

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Abstract

From the benchmark values of the diffusion and thermodiffusion coefficients of the tetralin, isobutylbenzene and n-dodecane ternary mixture, and the published optical contrast factors, we have evaluated the theoretical amplitudes of the two composition modes of the refractive-index fluctuations. Shadowgraph experiments have been performed on ground, where the current theory is expected to be correct only for large wave vectors. Two decay times have been observed experimentally. The fastest one being related to the thermal diffusivity of the mixture, while the slower one to mass diffusion. Hence, it has not been possible to distinguish the two eigenvalues of the mass diffusion matrix, a problem also encountered in traditional light-scattering with ternary mixtures of similar-size molecules. Thus, to compare the measured Intermediate Scattering Function with theory, we fix the amplitudes and decay rates to the benchmark values, use the wave number as a fitting parameter, and compare it to the experimental wave number. The good agreement between theory and experiments for the larger wave numbers validates the theory developed for the microgravity conditions.

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Acknowledgments

This work has been supported by the European Space Agency through the SCCO project. JOZ acknowledges partial support from the Spanish State Secretary of Research under grant no. FIS2014-58950-C2-2-P. Support from the French space agency CNES is also acknowledged.

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Authors and Affiliations

  1. Laboratoire des Fluides Complexes et leurs Réservoirs, UMR-5150, Université de Pau et des Pays de l’Adour, 1 Allée du Parc Montaury, Anglet, France

    Henri Bataller & Fabrizio Croccolo

  2. Erlagen Graduate School in Advanced Optical Technologies (SAOT), Friedrich Alexander Universität, Paul Gordan Straße 6, 91052, Erlagen, Germany

    Cédric Giraudet

  3. Centre National d’Etudes Spatiales (CNES), Paris, France

    Fabrizio Croccolo

  4. Departamento de Física Aplicada, Universidad Complutense, Plaza de las Ciencias 1, 28040, Madrid, Spain

    José Maria Ortiz de Zárate

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  1. Henri Bataller
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  2. Cédric Giraudet
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  3. Fabrizio Croccolo
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  4. José Maria Ortiz de Zárate
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Correspondence to Henri Bataller.

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This article belongs to the Topical Collection: Advances in Gravity-related Phenomena in Biological, Chemical and Physical Systems

Guest Editors: Valentina Shevtsova, Ruth Hemmersbach

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Bataller, H., Giraudet, C., Croccolo, F. et al. Analysis of Non-Equilibrium Fluctuations In A Ternary Liquid Mixture. Microgravity Sci. Technol. 28, 611–619 (2016). https://doi.org/10.1007/s12217-016-9517-6

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  • DOI: https://doi.org/10.1007/s12217-016-9517-6

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