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Related papers: Pulling Knotted Polymers

200 papers

While the dynamics of a fully flexible polymer ejecting a capsid through a nanopore has been extensively studied, the ejection dynamics of semiflexible polymers has not been properly characterized. Here we report results from simulations of…

Biological Physics · Physics 2017-11-08 Riku P. Linna , Pauli M. Suhonen , Joonas Piili

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

Using a lattice model of polymers in a tube, we define one way to characterise different configurations of a given knot as either "local" or "non-local" and, for several ring polymer models, we provide both theoretical and numerical…

Combinatorics · Mathematics 2021-12-15 Nicholas R. Beaton , Jeremy W. Eng , Kai Ishihara , Koya Shimokawa , Christine E. Soteros

In this work the thermodynamic properties of short polymer knots (up to 120 segments) defined on a simple cubic lattice are studied with the help of the Wang-Landau Monte Carlo algorithm. The sampling process is performed using pivot…

Soft Condensed Matter · Physics 2015-06-16 Yani Zhao , Franco Ferrari

Stretched polymers with attractive interaction are studied in two and three dimensions. They are described by biased self-avoiding random walks with nearest neighbour attraction. The bias corresponds to opposite forces applied to the first…

Statistical Mechanics · Physics 2009-11-07 Peter Grassberger , Hsiao-Ping Hsu

Molecular dynamics simulations were conducted to investigate the structural properties of melts of nonconcatenated ring polymers and compared to melts of linear polymers. The longest rings were composed of N=1600 monomers per chain which…

Soft Condensed Matter · Physics 2011-05-02 Jonathan D. Halverson , Won Bo Lee , Gary S. Grest , Alexander Y. Grosberg , Kurt Kremer

Using a combination of the replica-exchange Monte Carlo algorithm and the multicanonical method, we investigate the influence of bending stiffness on the conformational phases of a bead-stick homopolymer model and present the pseudo-phase…

Soft Condensed Matter · Physics 2016-03-30 Martin Marenz , Wolfhard Janke

We use Brownian dynamics simulations and advanced topological profiling methods to characterize the out-of-equilibrium evolution of self-entanglement in linear polymers confined into nano-channels and under periodic compression. We…

Soft Condensed Matter · Physics 2020-06-22 Davide Michieletto , Enzo Orlandini , Matthew S Turner , Cristian Micheletti

The topological effects on the thermal properties of several knot configurations are investigated using Monte Carlo simulations. In order to check if the topology of the knots is preserved during the thermal fluctuations we propose a method…

Soft Condensed Matter · Physics 2015-06-11 Yani Zhao , Franco Ferrari

We use Monte Carlo simulations to study polymer melts consisting of fully flexible and moderately stiff chains in the bond fluctuation model at a volume fraction $0.5$. In order to reduce the local density fluctuations, we test a…

Soft Condensed Matter · Physics 2015-06-24 Hsiao-Ping Hsu

We develop Monte Carlo simulations for uniformly charged polymers and machine learning algorithm to interpret the intra-polymer structure factor of the charged polymer system, which can be obtained from small-angle scattering experiments.…

Soft Condensed Matter · Physics 2025-11-21 Lijie Ding , Chi-Huan Tung , Jan-Michael Y. Carrillo , Wei-Ren Chen , Changwoo Do

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…

Statistical Mechanics · Physics 2010-11-03 Jesper Lykke Jacobsen

The crystallisation of entangled polymers from their melt is investigated using computer simulation with a coarse-grained model. Using hybrid Monte Carlo simulations enables us to probe the behaviour of long polymer chains. We identify…

Soft Condensed Matter · Physics 2020-06-12 Xiaoliang Tang , Fucheng Tian , Tingyu Xu , Liangbin Li , Aleks Reinhardt

This study investigated, experimentally and numerically, the fracturing behavior of thermoset polymer structures featuring cracks and sharp u-notches. It is shown that, even for cases in which the sharpness of the notch would suggest…

Soft Condensed Matter · Physics 2018-12-17 Yao Qiao , Marco Salviato

Monte Carlo (MC) simulations are used to study the dynamics of polymer translocation through a nanopore in the limit where the translocation rate is sufficiently slow that the polymer maintains a state of conformational quasi-equilibrium.…

Soft Condensed Matter · Physics 2015-06-12 James M. Polson , Anthony C. M. McCaffrey

We study several related models of self-avoiding polygons in a tubular subgraph of the simple cubic lattice, with a particular interest in the asymptotics of the knotting statistics. Polygons in a tube can be characterised by a finite…

Statistical Mechanics · Physics 2020-03-04 Nicholas R. Beaton , Jeremy W. Eng , Christine E. Soteros

This paper visualizes a knot reduction algorithm

Soft Condensed Matter · Physics 2007-11-28 P. Virnau , M. Kardar , Y. Kantor

We propose a theoretical approach to quantitatively account for the role of entanglement in the nucleation of polymer melts, which is the unique feature of polymer differentiated from small molecules. By performing molecular dynamics…

Soft Condensed Matter · Physics 2022-03-07 Fan Peng , Cui Nie , Tingyu Xu , Wei Chen , Wancheng Yu , Junfang Sheng , Liangbin Li

We present an extremely simplified model of multiple-domains polymer stretching in an atomic force microscopy experiment. We portray each module as a binary set of contacts and decompose the system energy into a harmonic term (the…

Biomolecules · Quantitative Biology 2008-01-20 Carlo Guardiani , Franco Bagnoli

A coarse-grained computational model is used to investigate how the bending rigidity of a polymer under tension affects the formation of a trefoil knot. Thermodynamic integration techniques are applied to demonstrate that the free-energy…

Soft Condensed Matter · Physics 2012-11-13 Richard Matthews , Ard A. Louis , Christos N. Likos