The Soret coefficient from the Faxén theorem for a particle moving in a fluid under a temperature gradient

  • Andrés Arango-RestrepoEmail author
  • J. Miguel Rubi
Regular Article
Part of the following topical collections:
  1. Thermal Non-Equilibrium Phenomena in Soft Matter


We compute the Soret coefficient for a particle moving through a fluid subjected to a temperature gradient. The viscosity and thermal conductivity of the particle are in general different from those of the solvent and its surface tension may depend on temperature. We find that the Soret coefficient depends linearly on the derivative of the surface tension with respect to temperature and decreases in accordance with the ratios between viscosities and thermal conductivities of particle and solvent. Additionally, the Soret coefficient also depends on a parameter which gives the ratio between Marangoni and shear stresses, a dependence which results from the local stresses inducing a heat flux along the particle surface. Our results are compared to those obtained by using the Stokes value for the mobility in the calculation of the Soret coefficient and in the estimation of the radius of the particle. We show cases in which these differences may be important. The new expression of the Soret coefficient can systematically be used for a more accurate study of thermophoresis.

Graphical abstract


Topical issue: Thermal Non-Equilibrium Phenomena in Soft Matter 


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Copyright information

© EDP Sciences, Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Departament de Física de la Matéria Condensada, Facultat de FísicaUniversitat de BarcelonaBarcelonaSpain
  2. 2.Institut de Nanociència i NanotecnologiaUniversitat de BarcelonaBarcelonaSpain

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