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Interfacial energies of systems of chiral molecules

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journal contribution
posted on 2023-06-09, 01:10 authored by Andrea Braides, Andrea Garroni, Mariapia Palombaro
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.

History

Publication status

  • Published

File Version

  • Accepted version

Journal

Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal

ISSN

1540-3459

Publisher

SIAM

Issue

3

Volume

14

Page range

1037-1062

Department affiliated with

  • Mathematics Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2016-05-09

First Open Access (FOA) Date

2016-05-09

First Compliant Deposit (FCD) Date

2016-05-09

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