Interfacial energies of systems of chiral molecules
Mathematical Physics
2015-12-04 v1 Statistical Mechanics
math.MP
Abstract
We consider a simple model for the assembly of chiral molecules in two dimensions driven by maximization of the contact area. We derive a macroscopic model described by a parameter taking nine possible values corresponding to the possible minimal microscopic patterns and modulated phases of the chiral molecules. We describe the overall behaviour by means of an interaction energy of perimeter type between such phases. This energy is a crystalline perimeter energy, highlighting preferred directions for the interfaces between ensembles of molecules labelled by different values of the parameter.
Keywords
Cite
@article{arxiv.1512.01123,
title = {Interfacial energies of systems of chiral molecules},
author = {Andrea Braides and Adriana Garroni and Mariapia Palombaro},
journal= {arXiv preprint arXiv:1512.01123},
year = {2015}
}