On the existence of Fröhlich's long-range interactions in dipolar chains

A chain of N identical polarizable molecules interacting via dipole-dipole forces is investigated. A careful mathematical analysis results in a proof of the existence of long-range forces analogous to those described by Fröhlich for two giant dipoles which is a special case in our model. The energy spectrum is more complicated and depends on the structure constants of the system. In addition, formulas have been provided for temperature dependence of the effective interaction energy. At room temperature Fröhlich's expression underestimates the strength of the interactions by at least an order of magnitude.