Orientation ordering and the transition to the orientational glass state in fullerite $\mathrm C_{60}$

We propose a model for describing the low-temperature transition to the orientational glass state in solid molecular $\mathrm{C}_{60}$ in the framework of a theory similar to spin glass theory. We find a replica symmetric solution and also break the replica symmetry. The obtained results agree with experimental data on the partial retention of the orientational long-range order in the glass phase and on the presence of a broad maximum on the curve corresponding to the temperature dependence of the orientational part of the heat capacity.