Modeling of electric field impact on a cholesteric liquid crystal layer

A new mathematical model is proposed to describe the spatial static state of a cholesteric liquid crystal. The model is constructed with the assumption of elastic resistance of a liquid crystal under weak mechanical action or under disturbance of electric field. Along with rotational degrees of freedom displacements of the centres of mass of the liquid crystal molecules relative to initial positions are taken into account. Using numerical calculations, the effect of deformation of cholesteric spirals in a thin layer under the action of electric field of a capacitor is analysed.