Abstract
We present, based on fluctuating hydrodynamics, the theory of concentration fluctuations in a ternary mixture subjected to a stationary temperature gradient, so that composition gradients are present due to thermal diffusion (Soret effect). We neglect gravity and confinement (boundary conditions) but consider a completely generic diffusion matrix, including cross-diffusion effects. We find, as in the case of binary mixtures, an important non-equilibrium enhancement of the concentration fluctuations, which is proportional to the square of the gradient and inversely proportional to the fourth power of the fluctuations wave number, q−4. The results of this paper are expected to be asymptotically correct for fluctuations of large q, while for shorter q gravity and confinement effects need to be incorporated. Comparison with previous work in the topic is included.
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Contribution to the Topical Issue “Thermal nonequilibrium phenomena in multi-component fluids” edited by Fabrizio Croccolo and Henri Bataller.
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Ortiz de Zárate, J.M., Giraudet, C., Bataller, H. et al. Non-equilibrium fluctuations induced by the Soret effect in a ternary mixture. Eur. Phys. J. E 37, 77 (2014). https://doi.org/10.1140/epje/i2014-14077-2
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DOI: https://doi.org/10.1140/epje/i2014-14077-2