Hydrodynamic fluctuation-induced forces in confined fluids.

摘要: We study thermal, fluctuation-induced hydrodynamic interaction forces in a classical, compressible, viscous fluid confined between two rigid, planar walls with no-slip boundary conditions. calculate fluctuations using the linearized, stochastic Navier-Stokes formalism of Landau and Lifshitz. The mean force acting on boundaries vanishes this system, so we evaluate two-point, time-dependent correlations. equal-time correlation function single wall gives variance, which show to be finite independent plate separation at large inter-plate distances. equal-time, cross-plate correlation, other hand, decays inverse distance is viscosity distances; it turns out negative over whole range separations, indicating that bounding plates are subjected counter-phase correlations exhibit damped temporal oscillations for small separations more irregular oscillatory behavior separations. long-range reported here represent "secondary Casimir effect", because force, represents primary effect, absent.