We study spatial correlations for two electrostatically coupled electrons in a pair of vertically stacked quantum rings with configuration-interaction approach. We demonstrate that for distant quantum rings, the correlations undergo abrupt oscillations with the external magnetic field, which are strong for odd multiples of the flux quantum for which the electrons distinctly avoid being localized one above the other and are negligible for other values of the flux. The oscillations of the correlation strength vanish in the single-ring limit for which the electrons form a Wigner molecule. The wave function of the Hartree approximation is frustrated between reproducing the exact angular momentum eigenstate or the correlation between the electrons. We show that for distant rings the mean-field solution breaks the rotational symmetry of the system in a reentrant manner near odd multiples of half of the flux quantum to account for the correlation appearing in the exact solution.
The works [1, 2] present the values of the force and moment of friction needed to disassemble the axisymmetric connection with oval and three-angular shape of cross-section of the shaft. These works additionally show the variable values of the Mises stresses and contact pressures. This paper presents research which is a continuation of the research program on the evaluation of the influence of cross-section deviations, radial deviations, and their compilations on the value of the contact area in the connection. The limited contact area has a decisive impact on functional and operational parameters of the connection. Point contact between the shaft and the hole is the reason of the reduction of load transmission. The paper concerns the connection between the shaft with four-angular shape of cross-section with the deviation Tw = 13 μm and the hub with the nominal roudness. The authors have proved the occurrence of variable values of the force and moment of friction during disassembling of the connection. The authors have also showed the occurrence of variable values of the reduced stresses and contact pressures.
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