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Non-equilibrium concentration fluctuations in binary liquids with realistic boundary conditions

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Abstract

Because of the spatially long-ranged nature of spontaneous fluctuations in thermal non-equilibrium systems, they are affected by boundary conditions for the fluctuating hydrodynamic variables. In this paper we consider a liquid mixture between two rigid and impervious plates with a stationary concentration gradient resulting from a temperature gradient through the Soret effect. For liquid mixtures with large Lewis and Schmidt numbers, we are able to obtain explicit analytical expressions for the intensity of the non-equilibrium concentration fluctuations as a function of the frequency ω and the wave number q of the fluctuations. In addition we elucidate the spatial dependence of the intensity of the non-equilibrium fluctuations responsible for a non-equilibrium Casimir effect.

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Authors and Affiliations

  1. Departamento de Fısica Aplicada I, Facultad de Fısica, Universidad Complutense, 28040, Madrid, Spain

    J. M. Ortiz de Zárate

  2. Institute for Physical Science and Technology, University of Maryland, 20742, College Park, Maryland, USA

    T. R. Kirkpatrick & J. V. Sengers

  3. Department of Physics, University of Maryland, 20742, College Park, Maryland, USA

    T. R. Kirkpatrick

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  1. J. M. Ortiz de Zárate
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  2. T. R. Kirkpatrick
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  3. J. V. Sengers
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Correspondence to J. M. Ortiz de Zárate.

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Ortiz de Zárate, J.M., Kirkpatrick, T.R. & Sengers, J.V. Non-equilibrium concentration fluctuations in binary liquids with realistic boundary conditions. Eur. Phys. J. E 38, 99 (2015). https://doi.org/10.1140/epje/i2015-15099-x

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