2022/01/22 by K. Haydukivska, Viktoria Blavatska, V. Blavatska
Biochemistry, Genetics and Molecular Biology · Chemistry · Materials Science · Mathematics · Physics and Astronomy · #Advanced Polymer Synthesis and Characterization #Block Copolymer Self-Assembly #Branching (polymer chemistry) #Chemistry #Composite material #Computational chemistry #Gaussian #Geometry #Gyration #Linear polymer #Macromolecule #Materials science #Mathematics #Polymer #Protein Structure and Dynamics #Radius of gyration #Ring (chemistry) #cond-mat.soft
paper · pdf · doi:10.1088/1751-8121/ac5508
published as Journal of Physics A 55, 145001 (2022)
arxiv created 2022/01/22 · openalex publication_date 2022/02/14 · arxiv updated 2022/03/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We study the conformational properties of complex Gaussian polymers containing fc linear branches and fr closed loops, periodically tethered at n branching points to either a linear polymer backbone (generalized bottlebrush structures) or closed polymer ring (decorated ring structure). Applying the path integration method, based on Edwards continuous chain model, we obtain in particular the exact values for the size ratios comparing the gyration radii of considered complex structures and linear chains of the same total molecular weight, as functions of n, fc and fr. Compactification of the overall effective size of branched macromolecules with the increasing number of loops is quantitatively confirmed. Our results are supported by numerical estimates obtained by application of Wei's method.