A model for the chevron structure obtained by cooling a smectic A liquid crystal in a cell of finite thickness

We propose a simple model for the chevron structure observed in recent experiments by cooling a smectic A liquid crystal. We discuss the influence of the cell thickness and of the anchoring conditions on the temperature dependence of the layer tilt angle, and the formation of this structure in the vicinity of a smectic A—nematic transition. Below this critical point, a transition between a bookshelf structure and a chevron one appears. This transition is second order, with continuity of the tilt angle, the threshold being a function of the cell thickness. In addition to a classical layer thinning mechanism, we discuss another possibly based on the temperature dependence of the elastic moduli. We also propose an explanation for the existence of a critical thickness below which the chevrons do not appear.