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Dispersion Interaction Between Thin Conducting Cylinders

2024/06/12 by Pal, Subhojit, Brevik, Iver, Boström, Mathias · 2 citations
#Chemical Physics (physics.chem-ph) #FOS: Physical sciences #Other Condensed Matter (cond-mat.other)

paper · doi:10.48550/arxiv.2406.08047

Abstract

The ground state and excited state resonance dipole-dipole interaction energy between two elongated conducting molecules are explored. We review the current status for ground state interactions. This interaction is found to be of a much longer range than in the case when the molecules are pointlike and nonconducting. These are well known results found earlier by Davies, Ninham, and Richmond, and later, using a different formalism, by Rubio and co-workers. We show how the theory can be extended to excited state interactions. A characteristic property following from our calculation is that the interaction energy dependence with separation (R) goes like f(R)/R2 both for resonance and for the van der Waals case in the long range limit. In some limits f(R) has a logarithmic dependency and in others it takes constant values. We predict an unusual slow decay rate for the energy transfer between conducting molecules.

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