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Non-equilibrium Fluctuations in a Ternary Mixture Subjected to a Temperature Gradient
Journal of Statistical Physics ( IF 1.3 ) Pub Date : 2020-05-25 , DOI: 10.1007/s10955-020-02554-8
José M. Ortiz de Zárate , Loreto García-Fernández , Henri Bataller , Fabrizio Croccolo

We present the complete theory for the decay rates of non-equilibrium fluctuations in a ternary liquid mixture subjected to a stationary temperature gradient, when the quiescent non-convective state is stable. In the most general case, within Boussinesq approximation, four fluctuating modes exist. Depending on the parameter values, propagative modes may be present, and we discuss numerically some cases where that is so. We complete the work with a discussion of symmetry upon changes in concentration representation, as well as examination of some limiting cases with practical relevance for which analytical progress is possible. We make contact with previous publications, which were based on some kind of approximation.

中文翻译:

受温度梯度影响的三元混合物中的非平衡波动

当静止的非对流状态稳定时,我们提出了在静止温度梯度下三元液体混合物中非平衡波动衰减率的完整理论。在最一般的情况下,在 Boussinesq 近似中,存在四种波动模式。根据参数值,可能会出现传播模式,我们会以数值方式讨论某些情况。我们通过讨论浓度表示变化时的对称性来完成这项工作,并检查了一些具有实际相关性的限制情况,分析进展是可能的。我们接触了以前的出版物,这些出版物基于某种近似。
更新日期:2020-05-25
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