Abstract
Abstract A layer system of uniaxial molecules is studied. Smectic (Sm) phases are considered as system states in which shear moduli (i.e., terms linear with respect to the wave vector K in frequencies of translational oscillations) are zero and, however, corresponding terms nonlinear with respect to K are nonzero. It is established that the nonlinear terms provide intermolecular translational correlations if corresponding shear moduli are zero. On the basis of this idea a correlation between translational order and elastic properties of known Sm phases is investigated and new “intermediate” Sm phases are predicted also. The free energy F is written as a function of shear moduli. Temperatures at which the jump-like zero conversion of the shear moduli occurs (i.e., temperatures of transitions into corresponding Sm phases) are calculated from the condition of minimum F. It is shown that this approach allows to predict a sequence of phase transitions at the layer crystal heating and, in particular, to formula...
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