Crystallization in Three Dimensions: The FCC Case
Florian Theil
University of Warwick
Mathematics Institute
F.Theil@warwick.ac.uk
University of Warwick
Mathematics Institute
F.Theil@warwick.ac.uk
Abstract: We study the asymptotic behaviour of minimizers of
atomistic pair interaction systems of Lennard-Jones type in the limit wher the
number of particles tends to infinity. For a large class of pair interaction
potential it can be shown rigorously that the minimizers converge to a rigid
fcc lattice. Novel applications of discrete geometry and rigidity estimates
are key ingredients of the proof.