Interfacial energies of systems of chiral molecules

Braides, Andrea, Garroni, Andrea and Palombaro, Mariapia (2016) Interfacial energies of systems of chiral molecules. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 14 (3). pp. 1037-1062. ISSN 1540-3459

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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.

Item Type: Article
Keywords: chiral molecules, lattice systems, interfacial energies, Gamma-convergence, crystalline energies, Wulff shapes
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics
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Depositing User: Richard Chambers
Date Deposited: 09 May 2016 14:51
Last Modified: 08 Mar 2017 23:38
URI: http://sro.sussex.ac.uk/id/eprint/60835

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