Demixing of compact polymers chains in three dimensions
Statistical Mechanics
2010-11-03 v2 Subcellular Processes
Abstract
We present a Monte Carlo algorithm that provides efficient and unbiased sampling of polymer melts consisting of two chains of equal length that jointly visit all the sites of a cubic lattice with rod geometry L x L x rL and non-periodic (hard wall) boundary conditions. Using this algorithm for chains of length up to 40 000 monomers and aspect ratios 1 <= r <= 10, we show that in the limit of a large lattice the two chains phase separate. This demixing phenomenon is present already for r=1, and becomes more pronounced, albeit not perfect, as r is increased.
Cite
@article{arxiv.1005.3610,
title = {Demixing of compact polymers chains in three dimensions},
author = {Jesper Lykke Jacobsen},
journal= {arXiv preprint arXiv:1005.3610},
year = {2010}
}
Comments
v2: Substantial revision. 7 pages and 7 figures. Introduction rewritten and expanded. Improved discussion of scaling arguments. New simulation data (Figs. 4-5) corroborate the conclusion