Abstract:
On the basis of the analysis of the free energy of a viscoelastic anisotropic layer liquid, a chiral ferroelectric liquid crystal <i>C</i><sup>∗</sup> , located in a thin cell in a ”bookshelf“ geometry the possibility of the smectic layers periodic distortions in the external magnetic
<b>H</b> and electric
<b>E</b> fields applied perpendicularly and along the plates, respectively, are investigated. The polar angle θ formed by the unit vector
<b>n</b> and the normal
<b>a</b> to the smectic planes is fixed, and the appearing Helfrich-Yuro distortions <i>u</i> of the smectic layers are assumed to be small in the proposed continuum model of the liquid ferroelectrics.