A submicron device to rectify a square-wave angular velocity

Abstract

We study a system composed of two thick dielectric disks separated by a thin layer of an electrolyte solution. Initially both plates have the same surface charge distribution. The surface charge distribution has no rotational symmetry. We show that the top plate experiences a torque [Formula: see text]([Formula: see text]) if it rotates about its axis by an angle [Formula: see text] . The torque can be controlled by varying the electrolyte concentration, the separation and the surface charge density of the plates. For a specific example of charged rods attached to the plates, we find [Formula: see text]([Formula: see text]) [Formula: see text] sin(4[Formula: see text]) . We also study the dynamics of the system. We consider the case where the angular velocity of the bottom disk is a square-wave signal. We find that the average angular velocity of the top disk is not zero.

Casimir force between two substrates within three different layers using the scattering approach

“…The Casimir effect [1] resulting from modifying of the vacuum fluctuations due to the insertion of the boundaries has entered a new era of novel accurate measurements. According to the rapid progress of the nanotechnology and the introduction of the Casimir force offering new possibility for designing nanomechanical systems [2][3][4][5], it will be useful to utilize multilayers in the investigating systems to evaluate Casimir energy. Having a repeating arrangement of thin layers of two different materials, this class of materials plays an important role in different branches of science and technology.…”

Finite-temperature Casimir force between perfectly metallic corrugated surfaces

“…plate (rack) and one sinusoidally corrugated cylinder (pinion) intermeshed by the zero-temperature quantum fluctuations. Whether the rack position versus time is a uniform [39], sinusoidal [40], or periodic triangular signal [41], the pinion rotates with a nonzero average velocity. Another example is the rack-pinion-rack device operating as a mechanical sensor [42][43][44].…”