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The Monte Carlo method is applied to a system of 32 classical free rotors on a face-centered cubic lattice with toroidal boundary conditions. The particles interact via nearest-neighbor electric quadrupole interactions, characterized by an energy Γ=6Q2/25R5. A first-order phase transition is found at about kBT=11Γ. Results are given for energy, specific heat, correlations of the form < Y2m (k)* Y2n (k) >, and various other quantities. Suggestions are made for further experimental and theoretical studies.
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M. J. Mandell (1974) studied this question.
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