2025/05/08 by Ilya Nikitin, Nikitin, Ilya, Nikolay Masnev +3
Chemical Engineering · Materials Science · #Block Copolymer Self-Assembly #FOS: Physical sciences #Polymer crystallization and properties #Rheology and Fluid Dynamics Studies #Statistical Mechanics (cond-mat.stat-mech)
paper · pdf · doi:10.48550/arxiv.2505.05097
openalex publication_date 2025/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider a model of a Rouse polymer extended by the mechanism of active loop extrusion. The model is based on a kinetic equation that is valid provided that the extrusion rate is high enough and the resulting loop ensemble is sufficiently sparse. Within the one-loop approximation of diagrammatic calculations, a semi-analytical method for determining the mean square physical distance between a pair of chain beads as a function of the contour distance between them is developed. The model is based on a kinetic equation that is valid provided that the extrusion rate is high enough and the resulting loop ensemble is sufficiently sparse. Within the framework of the one-loop approximation of diagrammatic calculations, a semi-analytical method for determining the mean square of the physical distance between a pair of chain sections as a function of the contour distance between them is developed. The mean square of the physical distance and its logarithmic derivative as functions of the contour separation are plotted for different values of the equilibrium degree. The results are compared with the case of frozen disorder of sparse loops.