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Related papers: Conserved Linking in Single- and Double-Stranded P…

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Mixtures of polymers of varying topologies and stiffnesses display complex emergent rheological properties that often cannot be predicted from their single-component counterparts. For example, entangled blends of ring and linear polymers…

Soft Condensed Matter · Physics 2022-11-23 Karthik R. Peddireddy , Ryan Clairmont , Rae M. Robertson-Anderson

We study a model of "elastic" lattice polymer in which a fixed number of monomers $m$ is hosted by a self-avoiding walk with fluctuating length $l$. We show that the stored length density $\rho_m = 1 - <l>/m$ scales asymptotically for large…

Statistical Mechanics · Physics 2010-06-16 Marco Baiesi , Gerard T. Barkema , Enrico Carlon

To study the elastic properties of rod-like DNA nanostructures, we perform long simulations of these structure using the oxDNA coarse-grained model. By analysing the fluctuations in these trajectories we obtain estimates of the bend and…

We perform computer simulations of mechanically linked (poly[2]catenanes, PC) and chemically bonded (bonded rings, BR) pairs of self-avoiding ring polymers in steady shear. We find that BR's develop a novel motif, termed gradient tumbling,…

Using a finite size scaling form for reunion probability, we show numerically the existence of a binding-unbinding transition for Directed polymers with random interaction. The cases studied are (A1) two chains in 1+1 dimensions, (A2) two…

Condensed Matter · Physics 2009-10-28 Sutapa Mukherji , Somendra M. Bhattacharjee , A. Baumgärtner

We report extensive simulations of the relaxation dynamics of a self-avoiding polymer confined inside a cylindrical pore. In particular, we concentrate on examining how confinement influences the scaling behavior of the global relaxation…

Soft Condensed Matter · Physics 2009-11-13 A. Arnold , B. Bozorgui , D. Frenkel , B. -Y. Ha , S. Jun

Motivated by recent nanofluidics experiments, we use Brownian dynamics and Monte Carlo simulations to study the conformation, organization and dynamics of two polymer chains confined to a single box-like cavity. The polymers are modeled as…

Soft Condensed Matter · Physics 2021-05-19 James M. Polson , Desiree A. Rehel

We study the interplay between entropy and topological constraints for a polymer chain in which sliding rings (slip-links) enforce pair contacts between monomers. These slip-links divide a closed ring polymer into a number of sub-loops…

Statistical Mechanics · Physics 2009-11-07 Ralf Metzler , Andreas Hanke , Paul G. Dommersnes , Yacov Kantor , Mehran Kardar

Single-chain elasticity is of fundamental importance in polymer physics, as it underlies many of the unique properties of polymer systems. Recently, there has been interest in characterizing the elastic properties of catenanes, molecular…

Soft Condensed Matter · Physics 2025-12-23 James M. Polson , Liam MacNevin , Alaaddin Elobeid , Carlos E. Padilla Robles

We show that the resistance distance between a pair of adjacent vertices in a phantom network generated randomly by a Monte-Carlo method depends on the existence of short cycles around it. Here we assume that phantom networks have no fixed…

Soft Condensed Matter · Physics 2025-07-10 Erica Uehara , Tetsuo Deguchi

Advanced Monte Carlo simulations are used to study the effect of nano-slit confinement on metric and topological properties of model DNA chains. We consider both linear and circularised chains with contour lengths in the 1.2--4.8 $\mu$m…

Biological Physics · Physics 2012-04-11 C. Micheletti , E. Orlandini

We analyze the freezing and collapse transition of a simple model for flexible polymer chains on simple cubic and face-centered cubic lattices by means of sophisticated chain-growth methods. In contrast to bond-fluctuation polymer models in…

Soft Condensed Matter · Physics 2009-02-16 Thomas Vogel , Michael Bachmann , Wolfhard Janke

Here we present a systematic study of supercoil formation in DNA minicircles under varying linking number by using molecular dynamics simulations of a two-bead coarse-grained model. Our model is designed with the purpose of simulating long…

Biological Physics · Physics 2015-05-14 Mehmet Sayar , Baris Avsaroglu , Alkan Kabakcioglu

The strong bending of polymers is poorly understood. We propose a general quantitative framework of polymer bending that includes both the weak and strong bending regimes on the same footing, based on a single general physical principle. As…

Biological Physics · Physics 2019-12-04 Aleksander V. Drozdetski , Abhishek Mukhopadhyay , Alexey V. Onufriev

We explore the effect of random permanent cross-links on a system of directed polymers confined between two planes with their end-points free to slide on them. We treat the cross-links as quenched disorder and we use a semimicroscopic…

Soft Condensed Matter · Physics 2010-02-22 Stephan Ulrich , Annette Zippelius , Panayotis Benetatos

We present computer simulations to examine probability distributions of gyration radius for the no-thickness closed polymers of N straight segments of equal length. We are particularly interested in the conditional distributions when the…

Soft Condensed Matter · Physics 2007-05-23 N. T. Moore , R. Lua , A. Y. Grosberg

We study a blend of two kinds of homopolymers with tendency for segragation. Cross-links between the chains of different kinds do not allow macrophase separation. Instead microphase structure appears. Starting from a microscopic model we…

Condensed Matter · Physics 2007-05-23 C. D. Sfatos , A. M. Gutin , E. I. Shakhnovich

Advances in controlled polymerization have enabled the synthesis of mechanically interlocked polymers like molecular knots and linear[n]catenane. These aesthetic macromolecules with unique topological constraints in the form of mechanical…

Soft Condensed Matter · Physics 2026-03-30 Prabeen Kumar Pattnayak , Aloke Kumar , Gaurav Tomar

The role of the topology and its relation with the geometry of biopolymers under different physical conditions is a nontrivial and interesting problem. Aiming at understanding this issue for a related simpler system, we use Monte Carlo…

Statistical Mechanics · Physics 2009-10-22 Marco Baiesi , Enzo Orlandini , Stuart G. Whittington

We present here computational work on the center-of-mass displacements in thin polymer films of finite width without topological constraints and without momentum conservation obtained using a well-known lattice Monte Carlo algorithm with…

Soft Condensed Matter · Physics 2015-06-03 J. P. Wittmer , N. Schulmann , P. Polińska , J. Baschnagel
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