Quadrupolar glass model with arbitrary distribution of the coupling constants

Bogolyubov' s variational principle arid the method of approximating Hamiltonians are used to obtain equations for the free energy density in a generalized quadrupolar glass model for arbitrary distribution of the exchange interactions. Two definite models are considered by means of the proposed method. It is suggested that continuous growth of the orientational order parameter and the glass order parameter with decreasing temperature is determined by the quadrupole interaction itself and not by the form of the distribution of the coupling constants. It is shown that in a system with pure glass ordering there is no quadrupole phase.