Nucleation and growth of lattice crystals
Analysis of PDEs
2021-10-27 v1 Optimization and Control
Abstract
A variational lattice model is proposed to define an evolution of sets from a single point (nucleation) following a criterion of "maximization" of the perimeter. At a discrete level, the evolution has a "checkerboard" structure and its shape is affected by the choice of the norm defining the dissipation term. For every choice of the scales, the convergence of the discrete scheme to a family of expanding sets with constant velocity is proved.
Keywords
Cite
@article{arxiv.2012.13772,
title = {Nucleation and growth of lattice crystals},
author = {Andrea Braides and Giovanni Scilla and Antonio Tribuzio},
journal= {arXiv preprint arXiv:2012.13772},
year = {2021}
}