A continuum model on the nanomesa and nanowell formation in Langmuir-Blodgett ferroelectric polymeric films
A two-phase monolayer grown on an elastic substrate may form stripes or dots on the scale of nanometers. Sometimes these stripes and dots order into superlattices. This paper reports on a simulation on the basis of a model proposed by the authors recently. The size selection and spatial ordering result from two competing actions: the phase boundary energy tends to coarsen the phases, and the concentration-dependent surface stress tends to re3ne the phases. A nonlinear diffusion equation couples the concentration 3eld in the epilayer and the stress 3eld in the substrate. The simulation reveals remarkably rich dynamics. An epilayer may evolve into various patterns, suggesting a signi3cant degree of experimental control in growing nanoscale superlattices, just as in growing atomic crystals. ? 2001 Elsevier Science Ltd. All rights reserved.