Thermophoresis of linear polymer chains

Eric Bringuier

doi:10.1016/j.crme.2011.03.013

Thermophoresis of linear polymer chains

Eric Bringuier ¹

¹ Matériaux et phenomenes quantiques (Unité mixte 7162 CNRS), universite Denis-Diderot (Paris 7), 10, rue A. Domon et L. Duquet, 75205 Paris cedex 13, France

Comptes Rendus. Mécanique, Thermodiffusion and coupled phenomena, Volume 339 (2011) no. 5, pp. 349-354.

Abstract

The thermophoresis of a linear polymer chain in a solvent is examined theoretically and is shown to be due to the action of two forces. The first one is Waldmannʼs thermophoretic force (stemming from the departure of the molecular-velocity distribution from Maxwellʼs equilibrium distribution), which here is extrapolated to a dense medium by using scaling considerations. The second force is due to the fact that the viscous friction varies with position owing to the temperature gradient, which brings a zeroth-order correction to the Stokes law of friction. The present scaling theory is compared with recent experiments and is found to account for: (i) the existence of both signs of the thermodiffusion coefficient; (ii) the absolute magnitude of the coefficient; (iii) the fact that it is independent of the chain length in the high-polymer limit; and (iv) the dependence on solvent viscosity. The variation of the coefficient for short chains is also examined.

Published online: 2011-04-22

DOI: 10.1016/j.crme.2011.03.013

Mots-clés : Polymer, Scaling, Soret effect, Thermodiffusion, Thermophoresis

Author's affiliations:

Eric Bringuier ¹

¹ Matériaux et phenomenes quantiques (Unité mixte 7162 CNRS), universite Denis-Diderot (Paris 7), 10, rue A. Domon et L. Duquet, 75205 Paris cedex 13, France

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     title = {Thermophoresis of linear polymer chains},
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     language = {en},
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Eric Bringuier. Thermophoresis of linear polymer chains. Comptes Rendus. Mécanique, Thermodiffusion and coupled phenomena, Volume 339 (2011) no. 5, pp. 349-354. doi : 10.1016/j.crme.2011.03.013. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2011.03.013/

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