Blanc X.
Geometry optimization for crystals in Thomas-Fermi type theories
  of solids
(117K, Latex)

ABSTRACT.  We study here the problem of geometry optimization for a
crystal in the TFW solid-state setting, i.e the problem of minimizing
the TFW energy with respect to the periodic lattice defining the
positions of the nuclei. We show the existence of such a minimum, and
use for that purpose the TFW models of polymers and thin films defined
in a previous work \cite{bi:BLB}.