%0 Journal Article
%T Non-equilibrium concentration fluctuations in binary liquids with realistic boundary conditions
%A J. M. Ortiz de Zarate
%A T. R. Kirkpatrick
%A J. V. Sengers
%J Physics
%D 2015
%I arXiv
%R 10.1140/epje/i2015-15099-x
%X 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 a large Lewis number, we are able to obtain explicit analytical expressions for the intensity of the non-equilibrium concentration fluctuations as a function of the frequency $\omega$ 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.
%U http://arxiv.org/abs/1505.01355v2