The normal Casimir force for lateral moving planes with isotropic conductivities
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866914721357103104 |
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| author | Emelianova, N. Khusnutdinov, N. |
| author_facet | Emelianova, N. Khusnutdinov, N. |
| contents | 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 $Δ_v\mathcal{E} \sim v^2$ for small velocity for all considered cases. In the case of the constant conductivity $η$, the energy correction is $ Δ_v\mathcal{E} \sim \fracη{a^3} \left(\frac{v}η\right)^2$for $v\ll η\ll 1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_09378 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The normal Casimir force for lateral moving planes with isotropic conductivities Emelianova, N. Khusnutdinov, N. Mesoscale and Nanoscale Physics High Energy Physics - Theory 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 $Δ_v\mathcal{E} \sim v^2$ for small velocity for all considered cases. In the case of the constant conductivity $η$, the energy correction is $ Δ_v\mathcal{E} \sim \fracη{a^3} \left(\frac{v}η\right)^2$for $v\ll η\ll 1$. |
| title | The normal Casimir force for lateral moving planes with isotropic conductivities |
| topic | Mesoscale and Nanoscale Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2310.09378 |