Stability of frozen waves in the Modified Cahn--Hilliard model
Mesoscale and Nanoscale Physics
2015-06-15 v1 Soft Condensed Matter
Abstract
We examine the existence and stability of frozen waves in diblock copolymers with local conservation of the order parameter, which are described by the modified Cahn--Hilliard model. It is shown that a range of stable waves exists and each can emerge from a `general' initial condition (not only the one with the lowest density of free energy). We discuss the implications of these results for the use of block copolymers in templating nanostructures.
Keywords
Cite
@article{arxiv.1303.2373,
title = {Stability of frozen waves in the Modified Cahn--Hilliard model},
author = {E. S. Benilov and W. T. Lee and R. O. Sedakov},
journal= {arXiv preprint arXiv:1303.2373},
year = {2015}
}
Comments
11 pages, 9 figures. Ancillary material contains Fortran code to solve the modified Cahn-Hilliard equation in one dimension, used to generate data for figure 6