Dipole-Dipole Interaction in Simple Lattices

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Abstract
A mathematical model, the spherical model, of electric dipole‐dipole interaction in simple lattices is discussed. The partition function for the system, assuming just nearest neighbor interaction, is evaluated for one‐ and three‐dimensional simple lattices. Only the three‐dimensional lattice exhibits a phase transition. The transition is discussed. The transition behavior in the presence of an external field is also analyzed, and the electric susceptibility is computed.

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