Material dependence of the wire-particle Casimir interaction
journal contributionposted on 16.07.2013, 11:28 by E. Noruzifar, Pablo Rodriguez-Lopez, T. Emig, R. Zandi
We study the Casimir interaction between a metallic cylindrical wire and a metallic spherical particle by employing the scattering formalism. At large separations, we derive the asymptotic form of the interaction. In addition, we find the interaction between a metallic wire and an isotropic atom, both in the nonretarded and retarded limits. We identify the conditions under which the asymptotic Casimir interaction does not depend on the material properties of the metallic wire and the particle. Moreover, we compute the exact Casimir interaction between the particle and the wire numerically. We show that there is a complete agreement between the numerics and the asymptotic energies at large separations. For short separations, our numerical results show good agreement with the proximity force approximation.
This work was supported by the NSF through Grant No. DMR-06-45668 (R.Z.) and DARPA Contract No. S- 000354 (R.Z. and T.E.). P.R.-L.’s research has been supported by Projects MOSAICO, UCM (Grant No. PR34/07-15859), MODELICO (Comunidad de Madrid), ENFASIS (Grant No. FIS2011-22644, Spanish Government), by MINECO (Spain) Grant No. FIS2012-38866-C05-01, and by the EPSRC [grant number: EP/H049797/1].