Relaxation of the thermal Casimir force between net neutral plates containing Brownian charges
PODGORNIK, Rudolf
Department of Physics
Department of Theoretical Physics
Department of Physics, Faculty of Mathematics and Physics
Department of Physics
Department of Theoretical Physics
Department of Physics, Faculty of Mathematics and Physics
PODGORNIK, Rudolf
Department of Physics
Department of Theoretical Physics
Department of Physics, Faculty of Mathematics and Physics
< Reduce
Department of Physics
Department of Theoretical Physics
Department of Physics, Faculty of Mathematics and Physics
Language
en
Article de revue
This item was published in
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics. 2014-03-14, vol. 89, n° 3, p. 032117 (1-8)
American Physical Society
English Abstract
We investigate the dynamics of thermal Casimir interactions between plates described within a living conductor model, with embedded mobile anions and cations, whose density field obeys a stochastic partial differential ...Read more >
We investigate the dynamics of thermal Casimir interactions between plates described within a living conductor model, with embedded mobile anions and cations, whose density field obeys a stochastic partial differential equation which can be derived starting from the Langevin equations of the individual particles. This model describes the thermal Casimir interaction in the same way that the fluctuating dipole model describes van der Waals interactions. The model is analytically solved in a Debye-Hückel-like approximation. We identify several limiting dynamical regimes where the time dependence of the thermal Casimir interactions can be obtained explicitly. Most notably we find a regime with diffusive scaling, even though the charges are confined to the plates and do not diffuse into the intervening space, which makes the diffusive scaling difficult to anticipate and quite unexpected on physical grounds.Read less <
English Keywords
Polarization and depolarization
stochastic processes and statistics
Stochastic analysis methods
Fluctuation phenomena
random processes
noise
and Brownian motion
Probability theory
Origin
Hal imported