Universality versus material dependence of fluctuation forces between metallic wires

We calculate the Casimir interaction between two parallel wires and between a wire and a metall plate. The dielectric properties of the objects are described by the plasma, Drude and perfect metal models. We find that at asymptotically large separation interactions involving plasma wires and/or plates are independent of the material properties, but depend on the dc conductivity $σ$ for Drude wires. Counterintuitively, at intermediate separations the interaction involving Drude wires can become independent of $σ$. At smaller separations, we compute the interaction numerically and observe an approach to the proximity approximation.

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