Comptes Rendus
Mass transport properties of the tetrahydronaphthalene/n-dodecane mixture measured by investigating non-equilibrium fluctuations
Comptes Rendus. Mécanique, Volume 341 (2013) no. 4-5, pp. 378-385.

We present preliminary near-field light scattering (NFS) data concerning the analysis of the static power spectrum and of the relaxation time constant as a function of the wave vector for non-equilibrium fluctuations (NEFs). The goal of these measurements is to obtain information about the Soret and the mass diffusion coefficients of a binary mixture undergoing thermodiffusion. In particular, we show how the interaction between NEFs and the gravity force gives rise to a critical wavelength that provides additional information about the Soret coefficient. We suggest that a quantitative analysis can be performed by means of this non-invasive optical technique. In our setup, the sample is monitored parallel to the imposed temperature gradient, thus being insensitive to the refractive index profile along the vertical axis, while at the same time we are able to detect the light scattered by the refractive index fluctuations in horizontal planes. We select a shadowgraph layout for the NFS setup due to the extremely small wave vectors we aim to analyze. From a double-frame differential analysis of the acquired images, we obtain both the static power spectrum and the dynamics of NEFs. As a proof-of-principle experiment, we present Soret and diffusion coefficient data on a liquid mixture of tetrahydronaphthalene/n-dodecane.

Published online:
DOI: 10.1016/j.crme.2013.01.012
Keywords: Soret coefficient, Mass diffusion coefficient, Non-equilibrium fluctuations, Differential dynamic analysis, Near-field scattering

Fabrizio Croccolo 1; Frank Scheffold 1; Henri Bataller 2

1 Department of Physics, University of Fribourg, chemin du Musée 3, CH-1700 Fribourg, Switzerland
2 Laboratoire des Fluides Complexes et leurs Réservoirs – UMR 5150, Université de Pau et des Pays de lʼAdour, BP 1155, 64013 Pau cedex, France
@article{CRMECA_2013__341_4-5_378_0,
     author = {Fabrizio Croccolo and Frank Scheffold and Henri Bataller},
     title = {Mass transport properties of the tetrahydronaphthalene/\protect\emph{n}-dodecane mixture measured by investigating non-equilibrium fluctuations},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {378--385},
     publisher = {Elsevier},
     volume = {341},
     number = {4-5},
     year = {2013},
     doi = {10.1016/j.crme.2013.01.012},
     language = {en},
}
TY  - JOUR
AU  - Fabrizio Croccolo
AU  - Frank Scheffold
AU  - Henri Bataller
TI  - Mass transport properties of the tetrahydronaphthalene/n-dodecane mixture measured by investigating non-equilibrium fluctuations
JO  - Comptes Rendus. Mécanique
PY  - 2013
SP  - 378
EP  - 385
VL  - 341
IS  - 4-5
PB  - Elsevier
DO  - 10.1016/j.crme.2013.01.012
LA  - en
ID  - CRMECA_2013__341_4-5_378_0
ER  - 
%0 Journal Article
%A Fabrizio Croccolo
%A Frank Scheffold
%A Henri Bataller
%T Mass transport properties of the tetrahydronaphthalene/n-dodecane mixture measured by investigating non-equilibrium fluctuations
%J Comptes Rendus. Mécanique
%D 2013
%P 378-385
%V 341
%N 4-5
%I Elsevier
%R 10.1016/j.crme.2013.01.012
%G en
%F CRMECA_2013__341_4-5_378_0
Fabrizio Croccolo; Frank Scheffold; Henri Bataller. Mass transport properties of the tetrahydronaphthalene/n-dodecane mixture measured by investigating non-equilibrium fluctuations. Comptes Rendus. Mécanique, Volume 341 (2013) no. 4-5, pp. 378-385. doi : 10.1016/j.crme.2013.01.012. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2013.01.012/

[1] C. Ludwig Sitz.-ber. Akad. Wiss. Wien, Math.-Nat. Kl., 20 (1856), p. 539

[2] C. Soret Arch. Sci., 3 (1879), p. 48

[3] S. Hartmann; W. Köhler; K.I. Morozov Soft Matter, 8 (2012), p. 1355

[4] S. Hartmann; G. Wittko; W. Köhler; K.I. Morozov; K. Albers; G. Sadowski Phys. Rev. Lett., 109 (2012), p. 065901

[5] K.I. Morozov Phys. Rev. E, 79 (2009), p. 031204

[6] S. Guillain-Giullot; A. Würger Phys. Rev. E, 83 (2011), p. 03501(R)

[7] A. Würger Phys. Rev. Lett., 102 (2009), p. 078302

[8] P.-A. Artola; B. Rousseau Phys. Rev. Lett., 98 (2007), p. 125901

[9] G. Galliero; S. Volz J. Chem. Phys., 128 (2008), p. 064505

[10] G. Galliero; B. Duguay; J.-P. Caltagirone; F. Montel Philos. Mag., 83 (2003), p. 2097

[11] F. Bresme; A. Lervik; D. Bedeaux; S. Kjelstrup Phys. Rev. Lett., 101 (2008), p. 020602

[12] M. Yang; M. Ripoll J. Phys.: Condens. Matter, 24 (2012), p. 195101

[13] R. Piazza; A. Guarino Phys. Rev. Lett., 88 (2002), p. 208302

[14] M. Braibanti; D. Vigolo; R. Piazza Phys. Rev. Lett., 100 (2008), p. 108303

[15] S. Duhr; D. Braun Proc. Natl. Acad. Sci. USA, 103 (2006), p. 19678

[16] S. Duhr; D. Braun Phys. Rev. Lett., 96 (2006), p. 168301

[17] S. Wiegand J. Phys.: Condens. Matter, 16 (2004), p. R357

[18] J.K. Platten; M.M. Bou-Ali; P. Blanco; J.A. Madariaga; C. Santamaria J. Phys. Chem. B, 111 (2007), p. 11524

[19] V. Shetsova; A. Mialdun; D. Melnikov; I. Ryzhkov; Y. Gaponenko; M.Z. Saghir; T. Lyubimova; J.-C. Legros C. R. Mec., 339 (2011), p. 310

[20] A. Mialdun; V. Yasnou; V. Shevtsova; A. Königer; W. Köhler; D. Alonso de Mezquia; M.M. Bou-Ali J. Chem. Phys., 136 (2012), p. 244512

[21] S. Van Vaerenbergh; J.-C. Legros J. Phys. Chem. B, 102 (1998), p. 4426

[22] M. Touzet; G. Galliero; V. Lazzeri; M.Z. Saghir; F. Montel; J.-C. Legros C. R. Mec., 339 (2011), p. 318

[23] S. Van Vaerenbergh; S. Srinivasan; M.Z. Saghir J. Chem. Phys., 131 (2009), p. 114505

[24] M. Giglio; A. Vendramini Phys. Rev. Lett., 34 (1975), p. 561

[25] M. Giglio; A. Vendramini Phys. Rev. Lett., 38 (1977), p. 26

[26] S. Wongsuwarn; D. Vigolo; R. Cerbino; A.M. Howe; A. Vailati; R. Piazza; P. Cicuta Soft Matter, 8 (2012), p. 5857

[27] F. Croccolo; M.A. Arnaud; D. Bégué; H. Bataller J. Chem. Phys., 135 (2011), p. 034901

[28] F. Croccolo; F. Plantier; G. Galliero; G. Pijaudier-Cabot; M.Z. Saghir; F. Dubois; S. Van Vaerenbergh; F. Montel; H. Bataller Rev. Sci. Instrum., 82 (2011), p. 126105

[29] J.K. Platten; M.M. Bou-Ali; J.-F. Dutrieux Phil. Mag., 83 (2003), p. 2001

[30] A. Mialdun; V.M. Shevtsova J. Chem. Phys., 134 (2011), p. 044524

[31] W. Köhler; R. Schäfer Adv. Polym. Sci., 151 (2000), p. 1

[32] M. Giglio; A. Vendramini Appl. Phys. Lett., 25 (1974), p. 555

[33] F. Croccolo; H. Bataller; G. Pijaudier-Cabot AIP Conf. Proc., 1254 (2010), p. 157

[34] W. Köhler; A. Krekhov; W. Zimmermann Adv. Polym. Sci., 227 (2010), p. 145

[35] J.F. Torres; A. Komiya; E. Shoji; J. Okajima; S. Maruyama Opt. Las. Eng., 50 (2012), p. 1287

[36] M. Giglio; M. Carpineti; A. Vailati Phys. Rev. Lett., 85 (2000), p. 1416

[37] D. Brogioli; A. Vailati; M. Giglio Appl. Phys. Lett., 81 (2002), p. 4109

[38] F. Ferri; D. Magatti; D. Pescini; M.A.C. Potenza; M. Giglio Phys. Rev. E, 70 (2004), p. 041405

[39] R. Cerbino; A. Vailati Curr. Opin. Colloid Interf. Sci., 14 (2009), p. 416

[40] R. Cerbino; F. Scheffold Curr. Opin. Colloid Interf. Sci., 12 (2007), p. 50

[41] D. Brogioli; F. Croccolo; V. Cassina; D. Salerno; F. Mantegazza Opt. Expr., 16 (2008), pp. 20272-20282

[42] D. Brogioli; V. Cassina; D. Salerno; F. Croccolo; F. Mantegazza Opt. Expr., 17 (2009), pp. 1222-1233

[43] D. Brogioli; D. Salerno; V. Cassina; F. Mantegazza Opt. Expr., 17 (2009), pp. 15431-15448

[44] D. Salerno; D. Brogioli; F. Croccolo; R. Ziano; F. Mantegazza Opt. Expr., 19 (2011), pp. 26416-26422

[45] D. Brogioli; D. Salerno; F. Croccolo; R. Ziano; F. Mantegazza New J. Phys., 13 (2011), p. 123007

[46] F. Croccolo; D. Brogioli; A. Vailati; M. Giglio; D.S. Cannell Ann. N.Y. Acad. Sci., 1077 (2006), pp. 365-379

[47] F. Croccolo; D. Brogioli; A. Vailati; M. Giglio; D.S. Cannell Phys. Rev. E, 76 (2007), p. 41112

[48] F. Croccolo; D. Brogioli Appl. Opt., 50 (2011), pp. 3419-3427

[49] F. Croccolo; D. Brogioli; A. Vailati; M. Giglio; D.S. Cannell Appl. Opt., 45 (2006), pp. 2166-2173

[50] G. Cerchiari; F. Croccolo; F. Cardinaux; F. Scheffold Rev. Sci. Instrum., 83 (2012), p. 106101

[51] R. Cerbino; V. Trappe Phys. Rev. Lett., 100 (2008), p. 188102

[52] D. Magatti; M.D. Alaimo; M.A.C. Potenza; F. Ferri Appl. Phys. Lett., 92 (2008), p. 241101

[53] S.P. Trainoff; D.S. Cannell Phys. Fluids, 14 (2002), p. 1340

[54] G.S. Settles Schlieren and Shadowgraph Techniques: Visualizing Phenomena in Transparent Media, Springer-Verlag, Berlin, Heidelberg, New York, 2001

[55] F. Giavazzi; D. Brogioli; V. Trappe; T. Bellini; R. Cerbino Phys. Rev. E, 80 (2009), p. 031403

[56] L.G. Wilson; V.A. Martinez; J. Schwarz-Linek; J. Tailleur; G. Bryant; P.N. Pusey; W.C.K. Poon Phys. Rev. Lett., 106 (2011), p. 018101

[57] M. Reufer; V.A. Martinez; P. Schurtenberger; W.C.K. Poon Langmuir, 28 (2012), pp. 4618-4624

[58] P.J. Lu; F. Giavazzi; T.E. Angelini; E. Zaccarelli; F. Jargstorff; A.B. Schofield; J.N. Wilking; M.B. Romanowsky; D.A. Weitz; R. Cerbino Phys. Rev. Lett., 108 (2012), p. 218103

[59] P.N. Segré; J.V. Sengers Phys. A, 198 (1993), p. 46

[60] W.B. Li; P.N. Segré; R.W. Gammon; J.V. Sengers; M. Lamvik J. Chem. Phys., 101 (1994), p. 5058

[61] K.J. Zhang; M.E. Briggs; R.W. Gammon; J.V. Sengers J. Chem. Phys., 104 (1996), p. 6881

[62] J.M. Ortiz de Zarate; J.V. Sengers Hydrodynamic Fluctuations in Fluids and Fluid Mixtures, Elsevier Science, New York, 2006

[63] A. Vailati; M. Giglio Phys. Rev. E, 58 (1998), p. 4361

[64] A. Vailati; M. Giglio Phys. Rev. Lett., 77 (1996), p. 1484

[65] A. Vailati; M. Giglio Nature, 390 (1997), p. 262

[66] D. Brogioli; A. Vailati; M. Giglio Phys. Rev. E, 61 (2000), p. R1

[67] A. Oprisan; S. Oprisan; A. Teklu Appl. Opt., 49 (2010), pp. 86-98

[68] A. Vailati; R. Cerbino; S. Mazzoni; C.J. Takacs; D.S. Cannell; M. Giglio Nat. Commun., 2 (2011), p. 290

[69] C.J. Takacs; A. Vailati; R. Cerbino; S. Mazzoni; M. Giglio; D.S. Cannell Phys. Rev. Lett., 106 (2011), p. 244502

[70] F. Croccolo, H. Bataller, F. Scheffold, in preparation.

[71] J.K. Platten; M.M. Bou-Ali; P. Costesèque; J.-F. Dutrieux; W. Köhler; C. Leppla; S. Wiegand; G. Wittko Phil. Mag., 83 (2003), p. 1965

[72] F. Croccolo; H. Bataller; F. Scheffold J. Chem. Phys., 137 (2012), p. 234202

[73] D. Brogioli; A. Vailati Phys. Rev. E, 63 (2000), p. 012105

Cited by Sources:

Comments - Policy