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
< Leer menos
Department of Physics
Department of Theoretical Physics
Department of Physics, Faculty of Mathematics and Physics
Idioma
en
Article de revue
Este ítem está publicado en
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics. 2014-03-14, vol. 89, n° 3, p. 032117 (1-8)
American Physical Society
Resumen en inglés
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 ...Leer más >
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.< Leer menos
Palabras clave en inglés
Polarization and depolarization
stochastic processes and statistics
Stochastic analysis methods
Fluctuation phenomena
random processes
noise
and Brownian motion
Probability theory
Orígen
Importado de HalCentros de investigación