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arXiv · 2310.09378

The normal Casimir force for lateral moving planes with isotropic conductivities

N. Emelianova·N. Khusnutdinov
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Abstract

We consider the two planes at zero temperature with isotropic conductivity that are in relative lateral motion with velocity $v$ and inter-plane distance $a$. Two models of conductivity are taken into account -- the constant and frequency-dependent Drude models. The normal (perpendicular to planes) Casimir force is analysed in detail for two systems -- i) two planes with identical conductivity and ii) one of the planes is a perfect metal. The velocity correction to the Casimir energy $\Delta_v\mathcal{E} \sim v^2$ for small velocity for all considered cases. In the case of the constant conductivity $\eta$, the energy correction is $ \Delta_v\mathcal{E} \sim \frac{\eta}{a^3} \left(\frac{v}{\eta}\right)^2$for $v\ll \eta \ll 1$.

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N. Emelianova, N. Khusnutdinov. 2023-10-13. The normal Casimir force for lateral moving planes with isotropic conductivities. https://doi.org/10.3390/physics6010011

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