MECHANICAL EQUILIBRIUM OF CONFORMAL CRYSTALS

The relation between a conformal mapping and the geometrical features of the conformal lattice it defines is analyzed. The field created by particles interacting via inverse power law forces and located in the vortices of the conformal lattice is determined. The field of inertial forces within a rotating disk is shown to fulfill the requirements, a llowing the formation of a strictly conformal crystal. Elastic propert ies of the conformal crystals are analyzed: their elasticity is shown to be described by a unique elastic modulus. The distortion of a stric tly conformal crystal that is induced by a small deformation of the ex ternal field is calculated.