Abstract
The principle of stationarity of the free energy in a model with axial interaction of quadrupole systems of infinite range is used to calculate the mean number of metastable states as a function of the temperature. A self-consistent system of equations is obtained for the order parameters, and its solution near the temperatures of the transition to the quadrupolar glass phase and the orientationally ordered phase, and also at low temperatures, indicates that the existence of a gradient of the external electric field can lead not only to the formation of the quadrupolar glass phase but also to the formation of mixed ferro- and antiferroquadrupolar phases.
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