Volume 112, Number 2, October 2015
|Number of page(s)||6|
|Published online||22 October 2015|
Out-of-equilibrium thermal Casimir effect between Brownian conducting plates
1 Department of Physics, Faculty of Mathematics and Physics, University of Ljubljana - Jadranska ulica 19, SI-1000 Ljubljana, Slovenia
2 Department of Theoretical Physics, J. Stefan Institute - 1000 Ljubljana, Slovenia
3 Université de Bordeaux and CNRS, Laboratoire Ondes et Matière d'Aquitaine (LOMA), UMR 5798 F-33400 Talence, France
Received: 27 August 2015
Accepted: 13 October 2015
We study the thermal-fluctuation–induced interactions between two surfaces containing Brownian charges which are held at different temperatures. Using a dynamical form of Debye-Hückel theory implemented within the stochastic equation for the density of mobile Brownian charges, we derive expressions for the average force between the two surfaces as well as its variance. The latter is found both for the normal, of finite mean, as well as the lateral force, of zero mean, between the surfaces.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 05.20.-y – Classical statistical mechanics / 05.70.Ln – Nonequilibrium and irreversible thermodynamics
© EPLA, 2015
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