title: Non-equilibrium concentration fluctuations in binary liquids with realistic boundary conditions.
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.
authors.affiliation: Departamento de Fısica Aplicada I, Facultad de Fısica, Universidad Complutense, 28040, Madrid, Spain. jmortizz@fis.ucm.es.
authors.forename: J M
authors.initials: JM
authors.lastname: Ortiz de Zárate
authors.affiliation: Institute for Physical Science and Technology, University of Maryland, 20742, College Park, Maryland, USA.|Department of Physics, University of Maryland, 20742, College Park, Maryland, USA.
authors.forename: T R
authors.initials: TR
authors.lastname: Kirkpatrick
authors.affiliation: Institute for Physical Science and Technology, University of Maryland, 20742, College Park, Maryland, USA.
authors.forename: J V
authors.initials: JV
authors.lastname: Sengers
keywords: Flowing Matter: Liquids and Complex Fluids