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We have studied structure formation in a confined block copolymer melt by means of dynamic density functional theory (DDFT). The confinement is two-dimensional, and the confined geometry is that of a cylindrical nanopore. Although the…

Soft Condensed Matter · Physics 2009-11-13 G. J. A. Sevink , A. V. Zvelindovsky

Topological constraints can affect both equilibrium and dynamic properties of polymer systems, and can play a role in the organization of chromosomes. Despite many theoretical studies, the effects of topological constraints on the…

Soft Condensed Matter · Physics 2014-12-12 Maxim Imakaev , Konstantin Tchourine , Sergei Nechaev , Leonid Mirny

Protein chains of the (FG)$_n$ ($n \simeq$ 300) type cap the cytoplasmatic side of the nucleopore complex, which connects the nucleus to the remainder of an eukaryotic cell. We study the properties of three fundamental polymer models that…

Biological Physics · Physics 2020-06-12 Mike Castellano , Steffen Wolf , Thorsten Koslowski

Collapse of the polymer chain upon the sharp decrease of solvent quality is studied. During collapse, any pair of polymer units appearing in a sufficiently close vicinity in space has the possibility with a certain probability to form an…

Soft Condensed Matter · Physics 2019-11-07 A. M. Astakhov , S. K. Nechaev , K. E. Polovnikov

Polymer composites are ubiquitous in biology and industry alike, owing to their emergent desirable mechanical properties not attainable in single-species systems. At the same time, polymer topology has been shown to play a key role in…

Motivated by chromosomes enclosed in nucleus and the recently discovered active topological glass, we study a spherically confined melt of long nonconcatenated active polymer rings. Without activity, the rings exhibit the same average…

Soft Condensed Matter · Physics 2021-07-27 Iurii Chubak , Stanard Mebwe Pachong , Kurt Kremer , Christos N. Likos , Jan Smrek

We systematically explore the self-assembly of semi-flexible polymers in deformable spherical confinement across a wide regime of chain stiffness, contour lengths and packing fractions by means of coarse-grained molecular dynamics…

Soft Condensed Matter · Physics 2021-07-12 Maxime M. C. Tortora , Daniel Jost

Trapping macromolecules is impoartant for the study of their conformations, interactions, dynamics and kinetic processes. Here, we develop a variational approach which self-consistently introduces a mean force that controls the…

Soft Condensed Matter · Physics 2024-04-23 Luofu Liu , Chao Duan , Rui Wang

Conformation-dependent design of polymer sequences can be considered as a tool to control macromolecular self-assembly. We consider the monomer unit sequences created via the modification of polymers in a homogeneous melt in accordance with…

Soft Condensed Matter · Physics 2021-07-07 Elena N. Govorun , Ruslan M. Shupanov , Sophia A. Pavlenko , Alexei R. Khokhlov

Understanding looping probabilities, including the particular case of ring-closure or cyclization, of fluctuating polymers (eg DNA) is important in many applications in molecular biology and chemistry. In a continuum limit the configuration…

Statistical Mechanics · Physics 2021-12-14 Giulio Corazza , Raushan Singh

Recent experiments have been able to visualise chromosome organization in fast-growing E.coli cells. However, the mechanism underlying the spatio-temporal organization remains poorly understood. We propose that the DNA adopts a specific…

Soft Condensed Matter · Physics 2026-04-06 Shreerang Pande , Debarshi Mitra , Apratim Chatterji

Reducing the complexity of cross-linked polymer networks by preserving their main macroscale properties, is key to understanding them, and a crucial issue is to relate individual properties of the polymer constituents to those of the…

Soft Condensed Matter · Physics 2018-03-21 Salim R. Maduar , Taras Y. Molotilin , Olga I. Vinogradova

The structure of a polystyrene matrix filled with tightly cross-linked polystyrene nanoparticles, forming an athermal nanocomposite system, is investigated by means of a Monte Carlo sampling formalism. The polymer chains are represented as…

Soft Condensed Matter · Physics 2014-01-17 Georgios G. Vogiatzis , Evangelos Voyiatzis , Doros N. Theodorou

We estimate the probability regarding polymerization of a macromolecule which is made of distinct monomers. The lattice model of the random walk has been used to mimic the conformations of an ideal chain in two and three dimensions. It has…

Soft Condensed Matter · Physics 2020-09-21 Pramod Kumar Mishra

We model a macromolecule as an infinitely long Gaussian semi-flexible polymer chain and the conformations of the chain were realized in the nano cube using a cubic lattice. A modified version of the recursion relations is used to calculate…

Soft Condensed Matter · Physics 2022-01-11 Pramod Kumar Mishra

Motivated by the recent experimental observations of the DNA loop extrusion by protein motors, in this paper we investigate the statistical properties of the growing polymer loops within the ideal chain model. The loop conformation is…

Statistical Mechanics · Physics 2021-04-30 Dmitry Starkov , Vladimir Parfenyev , Sergey Belan

Bottle brushes are polymeric macromolecules made of a linear polymeric backbone grafted with side chains. The choice of the grafting density {\sigma}g, the length ns the grafted side chains and their chemical nature fully determines the…

Soft Condensed Matter · Physics 2019-08-09 P. Corsi , E. Roma , T. Gasperi , F. Bruni , B. Capone

In this paper we extend the Gaussian self-consistent method to permit study of the equilibrium and kinetics of conformational transitions for heteropolymers with any given primary sequence. The kinetic equations earlier derived by us are…

Soft Condensed Matter · Physics 2009-10-31 E. G. Timoshenko , Yu. A. Kuznetsov , K. A. Dawson

We analyse scaling laws that govern macromolecules of different topology: polymer chains, homogeneous and miktoarm star polymers in a good solvent possibly constrained by a porous medium. The latter is modelled by long-range-correlated…

Soft Condensed Matter · Physics 2015-05-13 V. Blavatska , C. von Ferber , Yu. Holovatch

The presence of nanoparticles in a diblock copolymer leads to changes in the morphology and properties of the matrix and can produce highly organized hybrid materials. The resulting material properties depend not only on the polymer…

Soft Condensed Matter · Physics 2018-05-30 Javier Diaz , Marco Pinna , Andrei Zvelindovsky , Adelchi Asta , Ignacio Pagonabarraga