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Linear polymers are represented as chains of hopping reptons and their motion is described as a stochastic process on a lattice. This admittedly crude approximation still catches essential physics of polymer motion, i.e. the universal…

Statistical Mechanics · Physics 2015-05-18 J. M. J. van Leeuwen , Andrzej Drzewinski

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

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…

Statistical Mechanics · Physics 2025-05-09 Ilya Nikitin , Nikolay Masnev , Sergey Belan

Molecular process of polymer collapse was reproduced by isothermal molecular dynamics simulation. The initial polymer chains were obtained by mean of random walks in continuum space. Two potential models were considered to represent short…

Soft Condensed Matter · Physics 2007-05-23 S. A. Sabeur , F. Hamdache , M. Bouarkat

A formula is derived for stiffness of a polymer chain in terms of the distribution function of end-to-end vectors. This relationship is applied to calculate the stiffness of Gaussian chains (neutral and carrying electric charges at the…

Statistical Mechanics · Physics 2007-05-23 A. D. Drozdov

A statistical mechanical description of flexible and semi-flexible polymer chains in a poor solvent is developed in the constant force and constant distance ensembles. We predict the existence of many intermediate states at low temperatures…

Soft Condensed Matter · Physics 2007-05-23 Sanjay Kumar , Iwan Jensen , Jesper L. Jacobsen , Anthony J. Guttmann

We study the dynamics of an ideal polymer chain in a crowded, viscoelastic medium and in the presence of active forces. The motion of the centre of mass and of individual monomers is calculated. On time scales that are comparable to the…

Soft Condensed Matter · Physics 2015-12-23 Hans Vandebroek , Carlo Vanderzande

We study the dynamical properties of semiflexible polymers with a recently introduced bead-spring model. We focus on double-stranded DNA. The two parameters of the model, $T^*$ and $\nu$, are chosen to match its experimental force-extension…

Soft Condensed Matter · Physics 2014-11-07 Gerard T. Barkema , Debabrata Panja , J. M. J. van Leeuwen

Polyampholytes (PA) are charged polymers composed of positively and negatively charged monomers along their backbone. The sequence of the charged monomers and the bending of the chain significantly influence the conformation and dynamical…

Soft Condensed Matter · Physics 2024-08-29 Rakesh Palariya , Sunil P. Singh

Lattice model of directed self avoiding walk has been solved analytically to investigate adsorption desorption phase transition behaviour of a semiflexible sequential copolymer chain on a two dimensional impenetrable surface perpendicular…

Statistical Mechanics · Physics 2010-02-23 Pramod Kumar Mishra

In this paper, we present a new approach to the Kratky-Porod Model (KP) of semiflexible polymers. Our solution to the model is based on the definition of a generating function which we use to study the statistical mechanics of semiflexible…

Statistical Mechanics · Physics 2007-05-23 Marcelo Marucho , Leonardo Loureiro , Gustavo A. Carri

We study the dynamics of a single chain polymer confined to a two dimensional cell. We introduce a kinetically constrained lattice gas model that preserves the connectivity of the chain, and we use this kinetically constrained model to…

Statistical Mechanics · Physics 2011-11-09 Armin Rahmani , Claudio Castelnovo , Jeremy Schmit , Claudio Chamon

Based on a recently established formalism (U. Ebert, J. Stat. Phys. 82, 183 (1996)) we analyze the diffusive motion of a long polymer in a quenched random medium. The medium is modeled by a frozen semidilute polymer system. In the framework…

Statistical Mechanics · Physics 2015-06-25 Stefan Mueller

Brownian dynamics simulations are used to study highly entangled solutions of semiflexible polymers. Bending fluctuations of semiflexible rods are signficantly affected by entanglement only above a concentration $c^{**}$, where $c^{**}\sim…

Soft Condensed Matter · Physics 2009-11-13 Shriram Ramanathan , David C Morse

By large-scale Monte Carlo simulations of semiflexible polymers in $d=2$ dimensions the applicability of the Kratky-Porod model is tested. This model is widely used as "standard model" for describing conformations and force versus extension…

Soft Condensed Matter · Physics 2011-11-15 Hsiao-Ping Hsu , Wolfgang Paul , Kurt Binder

The persistence length of macromolecules is one of their basic characteristics, describing their intrinsic local stiffness. However, it is difficult to extract this length from physical properties of the polymers, different recipes may give…

Soft Condensed Matter · Physics 2013-03-12 Hsiao-Ping Hsu , Wolfgang Paul , Kurt Binder

In the present work the dynamics of a continuous inextensible chain is studied. The chain is regarded as a system of small particles subjected to constraints on their reciprocal distances. It is proposed a treatment of systems of this kind…

Statistical Mechanics · Physics 2015-05-27 Franco Ferrari , Maciej Pyrka

We study the effects of intrinsic sequence-dependent curvature for a two dimensional semiflexible biopolymer with short-range correlation in intrinsic curvatures. We show exactly that when not subjected to any external force, such a system…

Soft Condensed Matter · Physics 2015-05-14 Zicong Zhou , Bela Joos

We calculate the distribution function of the end--to--end distance of a semiflexible polymer with large bending rigidity. This quantity is directly observable in experiments on single semiflexible polymers (e.g., DNA, actin) and relevant…

Condensed Matter · Physics 2009-10-28 Jan Wilhelm , Erwin Frey

The behavior of mobile linkers connecting two semi-flexible charged polymers, such as polyvalent counterions connecting DNA or F-actin chains, is studied theoretically. The chain bending rigidity induces an effective repulsion between…

Soft Condensed Matter · Physics 2009-11-07 I. Borukhov , R. F. Bruinsma , W. M. Gelbart , A. J. Liu
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