Casimir force waves induced by non-equilibrium fluctuations between vibrating plates

Details Casimir force waves induced by non-equilibrium fluctuations between vibrating plates Casimir force waves induced by non-equilibrium fluctuations between vibrating plates

2009-12-17

arxiv.org/abs/0912.3325v2

Physics

Condensed Matter

Statistical Mechanics

16 pages, 5 figures, author affiliation and reference [28] added

Scientific paper

We study the fluctuation-induced, time-dependent force between two plates immersed in a fluid driven out of equilibrium mechanically by harmonic vibrations of one of the plates. Considering a simple Langevin dynamics for the fluid, we explicitly calculate the fluctuation-induced force acting on the plate at rest. The time-dependence of this force is characterized by a positive lag time with respect to the driving, indicating a finite speed of propagation of stress through the medium, reminiscent of waves. We obtain two distinctive contributions to the force, where one may be understood as directly emerging from the corresponding force in the static case, while the other is related to resonant dissipation in the cavity between the plates.

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