Non-equilibrium fluctuations induced by the Soret effect in a ternary mixture
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) bu...
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| Veröffentlicht in: | The European physical journal. E, Soft matter and biological physics Soft matter and biological physics, 2014-08, Vol.37 (8), p.34-34, Article 77 |
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| container_title | The European physical journal. E, Soft matter and biological physics |
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| creator | Ortiz de Zárate, José M. Giraudet, Cédric Bataller, Henri Croccolo, Fabrizio |
| description | 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.
Graphical abstract |
| doi_str_mv | 10.1140/epje/i2014-14077-2 |
| format | Article |
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−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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−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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E</stitle><addtitle>Eur Phys J E Soft Matter</addtitle><date>2014-08-01</date><risdate>2014</risdate><volume>37</volume><issue>8</issue><spage>34</spage><epage>34</epage><pages>34-34</pages><artnum>77</artnum><issn>1292-8941</issn><eissn>1292-895X</eissn><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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| subjects | Biological and Medical Physics Biophysics Chemistry Complex Fluids and Microfluidics Complex Systems Engineering Sciences Exact sciences and technology General and physical chemistry Nanotechnology Physics Physics and Astronomy Polymer Sciences Regular Article Soft and Granular Matter Surfaces and Interfaces Thermal non-equilibrium phenomena in multi-component fluids Thin Films |
| title | Non-equilibrium fluctuations induced by the Soret effect in a ternary mixture |
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