  We perform numerical simulations to study self-assembly of nanoparticles
mediated by an elastic planar surface. We show how the nontrivial elastic
response to deformations of these surfaces leads to anisotropic interactions
between the particles resulting in aggregates having different geometrical
features. The morphology of the patterns can be controlled by the mechanical
properties of the surface and the strength of the particle adhesion. We use
simple scaling arguments to understand the formation of the different
structures, and we show how the adhering particles can cause the underlying
elastic substrate to wrinkle if two of its opposite edges are clamped. Finally,
we discuss the implications of our results and suggest how elastic surfaces
could be used in nanofabrication.
