Non-equilibrium concentration fluctuations in binary liquids with realistic boundary conditions

作者：de Zarate J M Ortiz^*; Kirkpatrick T R; Sengers J V

来源：European Physical Journal E, 2015, 38(9): 99.

DOI：10.1140/epje/i2015-15099-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 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. 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.

• 出版日期2015-9-21