The hydrodynamic behavior of a smectic a dilated perpendicularly to the layers is described by a set of partial differential equations. The dynamics of the undulation instability are studied in terms of a characteristic equation of sixth degree. For the undulation to develop at a finite growth rate the dilation must exceed a positive threshold value. Above threshold the range of undamped modes is studied. The fastest growing one is dominant and its wave vector corresponds to the static threshold. A conclusion is made by some qualitative conjectures about the effects of a laminar flow, the most important being the breaking of symmetry.
ASJC Scopus subject areas
- Engineering (all)