Casimir expulsion of periodic configurations

Abstract

There is the possibility in principle that the noncompensated Casimir force exists in open nanosized metal cavities arranged in the form of periodic structures. It is found that when trapezoid cavities are strictly periodic all the Casimir expulsion forces are completely compensated. However, when the distance of the gap is formed between the cavities, in the periodic configuration a noncompensated expulsion force proportional to the number of cavities appears. There are such effective parameters of the periodic configuration (the angles of the opening of cavities, their lengths and the relationships between them) which lead to the appearance of a maximum of expulsion forces per unit of structure length.

Quantum flights

“…3a) is valid for periodically situated figures. A certain phenomenon [6] has been found; when plates are placed at absolutely equal distances d = a from one another, there is no expulsion in the entire configuration (see Fig. 3b).…”

“…Combined finding of maxima using all possible parameters according to formula (8) in Ref. [6] allows to find for the angle ϕ ≈ 1 optimal relations d/a → 1.65 and R/a → 1.8 for given geometry of the configuration of planes.…”

“…Here I will try to explain the principle of the performance of such platforms in details without using formulae as far as possible. Those who wish may read articles [3,6,7] and appreciate their simplicity.…”

Casimir EMF in configurations with shifted elements

“…In formula (2), = h/2π -reduced Planck constant, and c-light speed; the functional expressions for the figure limit angles Θ right 1 , Θ right 2 for the right wing in the con-figuration taking into account relative shifts ∆x have the following form [16] Θ right…”

“…In our case, the drag effect can occur in nonparallel and well-conducting wings due to the resultant uncompensated action of virtual photons on electrons. Earlier it has been shown that in principle, in addition to the excitation of an EMF, the system with nonparallel wings can experience Casimir expulsion force [15] and have some other interesting effects [16,17]. The uncompensated action of forces on nonparallel configurations is due to the nonuniform action of Casimir forces on the opposite ends of the configuration asymmetrical along one of the coordinates.…”