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Demixing of compact polymers chains in three dimensions

2010/05/20 by Jesper Lykke Jacobsen, Jacobsen, Jesper Lykke
Biochemistry, Genetics and Molecular Biology · Materials Science · Physics and Astronomy · #Block Copolymer Self-Assembly #FOS: Biological sciences #FOS: Physical sciences #Material Dynamics and Properties #Statistical Mechanics (cond-mat.stat-mech) #Subcellular Processes (q-bio.SC) #Theoretical and Computational Physics #cond-mat.stat-mech #q-bio.SC

paper · pdf · doi:10.48550/arxiv.1005.3610

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

openalex publication_date 2010/05/20 · arxiv created 2010/11/02 · arxiv updated 2010/11/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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