Skip to content..
Carnegie Mellon Center for Nonlinear Analysis
Crystallization in Three Dimensions: The FCC Case


Florian Theil
University of Warwick
Mathematics Institute

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.

pdf of talk