Is Soret equilibrium a non-equilibrium effect?

Alois Würger

doi:10.1016/j.crme.2013.02.006

Is Soret equilibrium a non-equilibrium effect?

Alois Würger ¹

¹ Laboratoire Ondes et Matière dʼAquitaine, université de Bordeaux & CNRS, 351, cours de la Libération, 33405 Talence cedex, France

Comptes Rendus. Mécanique, 10th International Meeting on Thermodiffusion, Volume 341 (2013) no. 4-5, pp. 438-448.

Abstract

Recent thermophoretic experiments on colloidal suspensions revived an old debate, namely whether the Soret effect is properly described by thermostatics, or necessarily requires non-equilibrium thermodynamics. Based on colloidal transport theory and the entropy production of the related viscous flow, our analysis leads to the conclusion that the equilibrium approach may work for small ions, yet fails for colloidal particles and polymers. Regarding binary molecular mixtures, our results shed some doubt on the validity of thermostatic approaches that derive the Soret coefficient from equilibrium potentials.

Published online: 2013-02-23

DOI: 10.1016/j.crme.2013.02.006

Mots-clés : Thermal diffusion, Soret coefficient, Non-equilibrium thermodynamics, Out-of-equilibrium systems, Onsager theory

Author's affiliations:

Alois Würger ¹

¹ Laboratoire Ondes et Matière dʼAquitaine, université de Bordeaux & CNRS, 351, cours de la Libération, 33405 Talence cedex, France

@article{CRMECA_2013__341_4-5_438_0,
     author = {Alois W\"urger},
     title = {Is {Soret} equilibrium a non-equilibrium effect?},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {438--448},
     publisher = {Elsevier},
     volume = {341},
     number = {4-5},
     year = {2013},
     doi = {10.1016/j.crme.2013.02.006},
     language = {en},
}

TY  - JOUR
AU  - Alois Würger
TI  - Is Soret equilibrium a non-equilibrium effect?
JO  - Comptes Rendus. Mécanique
PY  - 2013
SP  - 438
EP  - 448
VL  - 341
IS  - 4-5
PB  - Elsevier
DO  - 10.1016/j.crme.2013.02.006
LA  - en
ID  - CRMECA_2013__341_4-5_438_0
ER  -

%0 Journal Article
%A Alois Würger
%T Is Soret equilibrium a non-equilibrium effect?
%J Comptes Rendus. Mécanique
%D 2013
%P 438-448
%V 341
%N 4-5
%I Elsevier
%R 10.1016/j.crme.2013.02.006
%G en
%F CRMECA_2013__341_4-5_438_0

Alois Würger. Is Soret equilibrium a non-equilibrium effect?. Comptes Rendus. Mécanique, 10th International Meeting on Thermodiffusion, Volume 341 (2013) no. 4-5, pp. 438-448. doi : 10.1016/j.crme.2013.02.006. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2013.02.006/

References
Cited by

[1] S.R. de Groot; P. Mazur Non-equilibrium Thermodynamics, North-Holland Publishing, Amsterdam, 1962

[2] L.D. Tuck J. Phys. Chem., 18 (1950), p. 1128

[3] L. Onsager Phys. Rev., 37 (1931), p. 405

[4] W. Köhler; S. Wiegand Thermal Nonequilibrium Phenomena in Fluid Mixtures, Lecture Notes in Phys., vol. 584, Springer, 2002

[5] S. Wiegand J. Phys.: Condens. Matter, 16 (2004), p. 357

[6] J.K. Platten J. Appl. Mech., 73 (2006), p. 5

[7] R. Piazza Soft Matter, 4 (2008), p. 1740

[8] A. Würger Rep. Prog. Phys., 73 (2010), p. 126601

[9] C. Ludwig Sitz. Ber. Akad. Wiss. Wien, 20 (1859), p. 539

[10] C. Soret Arch. Sci. Phys. Nat., 2 (1879), p. 48

[11] J. Chipman J. Am. Chem. Soc., 48 (1926), p. 2577

[12] E.D. Eastman J. Am. Chem. Soc., 48 (1926), p. 1482

[13] S.R. de Groot Lʼeffet Soret, Noord-hollandsche Uitgevers Maatschappij, Amsterdam, 1945

[14] H.J.V. Tyrrell Nature, 173 (1954), p. 264

[15] G. Galliéro; F. Montel Society of Petroleum Engineers EUROPEC/EAGE Annual Conference, SPE, 121902 (2009)

[16] F. Huang et al. Nature, 464 (2010), p. 396

[17] R. Hu et al. Nano Lett., 10 (2010), p. 838

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

[19] F. Weinert; D. Braun Phys. Rev. Lett., 27 (2008), p. 425

[20] H.-R. Jiang; H. Wada; N. Yoshinaga; M. Sano Phys. Rev. Lett., 102 (2009), p. 208301

[21] D. Di Leonardo; F. Ianni; G. Ruocco Langmuir, 25 (2009), p. 4247

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

[23] S.A. Putnam; D.G. Cahill; G.C.L. Wong Langmuir, 23 (2007), p. 9221

[24] K.A. Eslahian; M. Maskos Colloids Surf. A, 413 (2012), p. 65

[25] D. Vigolo; G. Brambilla; R. Piazza Phys. Rev. E, 75 (2007), p. 040401

[26] J.K.G. Dhont; S. Wiegand; S. Duhr; D. Braun Langmuir, 23 (2007), p. 1674

[27] R.D. Astumian Proc. Natl. Acad. Sci. USA, 104 (2007), p. 3

[28] E. Bringuier; A. Bourdon Phys. Rev. E, 67 (2003), p. 114041

[29] S. Fayolle; T. Bickel; S. Le Boiteux; A. Würger Phys. Rev. Lett., 95 (2005), p. 208301

[30] S.N. Semenov; M.E. Schimpf Phys. Usp., 52 (2009), p. 1045

[31] E. Ruckenstein J. Colloid Interface Sci., 83 (1981), p. 77

[32] K.I. Morozov JETP, 88 (1999), p. 944

[33] S.N. Rasuli; R. Golestanian Phys. Rev. Lett., 101 (2008), p. 108301

[34] A. Würger Phys. Rev. Lett., 101 (2008), p. 108302

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

[36] J.L. Anderson Ann. Rev. Fluid Mech., 21 (1989), p. 61

[37] E. Bringuier Phys. A, 390 (2011), p. 1861

[38] P.-G. de Gennes Scaling Concepts in Polymer Physics, Cornell University Press, Ithaca, 1979

[39] P.C. Hiemenz; R. Rajagopalan Principles of Colloid and Surface Chemistry, Marcel Dekker, 1997

[40] J. Morthomas; A. Würger Eur. Phys. J. E, 101 (2008), p. 168301

[41] N.G. van Kampen J. Phys. Chem. Solids, 49 (1988), p. 673

[42] B.V. Derjaguin; N.V. Churaev; V.M. Muller Surface Forces, Plenum Press, New York, 1987

[43] J. Morthomas; A. Würger J. Phys.: Condens. Matter, 21 (2009), p. 035103

[44] A. Würger Phys. Rev. Lett., 98 (2007), p. 138301

[45] D. Stadelmaier; W. Köhler Macromolecules, 42 (2009), p. 9147

[46] Y. Kishikawa; H. Shinohara; K. Maeda; Y. Nakamura; S. Wiegand; R. Kita Phys. Chem. Chem. Phys., 9 (2012), p. 65

[47] J. Giddings; K. Caldwell; M.N. Myers Macromolecules, 9 (1976), p. 106

[48] D. Long; A. Ajdari Eur. Phys. J. E, 4 (2001), pp. 29-32

[49] K. Denbigh Trans. Faraday Soc., 48 (1952), p. 1

[50] E. Dougherty; H. Drickamer J. Phys. Chem., 59 (1955), p. 443

[51] K. Shukla; A. Firoozabadi Ind. Chem. Eng. Res., 37 (1998), p. 3331

[52] M. Eslamian; M.Z. Saghir Phys. Rev. E, 80 (2009), p. 0661201

[53] L.J.T.M. Kempers J. Chem. Phys., 115 (2001), p. 6330

[54] R. Haase Z. Phys., 127 (1950), p. 1

[55] L.J. Tichacek; S. Kmak; H.G. Drickamer J. Phys. Chem., 60 (1956), p. 660

[56] J. Bert; J. Dupuy-Philon J. Phys.: Condens. Matter, 9 (1997), p. 11045

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

[58] D. Lüsebrink; M. Ripoll J. Chem. Phys., 136 (2012), p. 084106

[59] D. Lüsebrink; M. Yang; M. Ripoll J. Phys.: Condens. Matter, 24 (2012), p. 284132

[60] Y. Leroyer; A. Würger J. Chem. Phys., 135 (2011), p. 054102

[61] G.S. Hartley; K. Crank Trans. Faraday Soc., 52 (1956), p. 781

[62] D. Alonso de Mezquia; M. Mounir Bou-Ali; M. Larrañaga; J.A. Madariaga; C. Santamaría J. Phys. Chem. B, 116 (2012), p. 2814

[63] W.M. Rutherford J. Chem. Phys., 81 (1984), p. 6136

[64] C. Debuschewitz; W. Köhler Phys. Rev. Lett., 87 (2001), p. 055901

[65] F. Müller-Plathe; D. Reith Comput. Theor. Polym. Sci., 9 (1999), p. 203

[66] G. Galliero; B. Duguay; J.-P. Caltagirone; F. Montel Fluid Phase Equilibr., 208 (2003), p. 171

[67] P.-A. Artola; B. Rousseau; G. Galliéro J. Am. Chem. Soc., 130 (2008), p. 10963

[68] L. Waldmann Z. Naturforsch., 4a (1949), p. 105

[69] S. Villain-Guillot; A. Würger Phys. Rev. E (2011)

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

[71] F. Brochard; P.-G. de Gennes C. R. Acad. Sci. Paris, Ser. II, 293 (1981), p. 1025

Cited by Sources:

Comments - Policy