Out-of-equilibrium thermal Casimir effect between Brownian conducting plates

Bing-Sui Lu (1, 2) , David S. Dean (3) , Rudolf Podgornik (1, 2)

1 Department of Theoretical Physics
2 Department of Physics, Faculty of Mathematics and Physics
3 LOMA - Laboratoire Ondes et Matière d'Aquitaine

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-H\"uckel 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.

Mots clés: Fluctuation phenomena - random processes - noise - and Brownian motion; Classical statistical mechanics; Nonequilibrium and irreversible thermodynamics

Domaines: Mécanique statistique [cond-mat.stat-mech]

Bing-Sui Lu, David S. Dean, Rudolf Podgornik. Out-of-equilibrium thermal Casimir effect between Brownian conducting plates. EPL - Europhysics Letters, 2015, 112 (2), pp.20001 (1-6). ⟨10.1209/0295-5075/112/20001⟩. ⟨hal-01220597⟩