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The paper presents a short overview of the theoretical, numerical and experimental works on the critical behavior of a dilute polymer solution of long-flexible polymer chains confined in semi-infinite space restricted by a surface or in a…

Soft Condensed Matter · Physics 2018-01-08 Zoryana Usatenko , Krzysztof S. Danel

Although the stretching of polymers and biomolecules is important in numerous settings, their response when confined to two-dimensions is relatively poorly-studied. In this paper, we derive closed-form analytical expressions for the…

Soft Condensed Matter · Physics 2013-05-28 Sara Iliafar , Dmitri Vezenov , Anand Jagota

From understanding the sand on the beach to the foam on your beer, soft sphere simulations have been crucial to the study of the amorphous world around us. However, many of the materials we interact with on a daily basis aren't comprised of…

Soft Condensed Matter · Physics 2024-03-18 R. C. Dennis

We study translocation of semiflexible polymers driven by force $f_d$ inside a nanometer-scale pore using our three-dimensional Langevin dynamics model. We show that the translocation time $\tau$ increases with increasing bending rigidity…

Biological Physics · Physics 2018-06-27 Pauli M. Suhonen , Riku P. Linna

We investigate the addition of stiffness to the lattice model of hydrogen-bonded polymers in two and three dimensions. We find that, in contrast to polymers that interact via a homogeneous short-range interaction, the collapse transition is…

Soft Condensed Matter · Physics 2009-11-13 J Krawczyk , AL Owczarek , T Prellberg

We study the rotational dynamics of a flexible polymer initially wrapped around a rigid rod and unwinding from it. This dynamics is of interest in several problems in biology and constitutes a fundamental instance of polymer relaxation from…

Soft Condensed Matter · Physics 2014-07-29 Jean-Charles Walter , Marco Baiesi , Enrico Carlon , Helmut Schiessel

Constitutive equations are derived for the time-dependent behavior of particle-reinforced elastomers at isothermal loading with finite strains. A rubbery polymer is modelled as a network of macromolecules bridged by junctions which can slip…

Materials Science · Physics 2007-05-23 Aleksey D. Drozdov , Al Dorfmann

Conformations of a single semiflexible polymer chain dissolved in a low molecular weight liquid crystalline solvents (nematogens) are examined by using a mean field theory. We takes into account a stiffness and partial orientational…

Soft Condensed Matter · Physics 2009-11-07 Akihiko Matsuyama

We review the physical properties of macromolecular networks, consisting of semiflexible polymers such as actin. We start by giving a theoretical analysis of the conformational statistics and mechanical response of single filaments.…

Soft Condensed Matter · Physics 2008-02-03 Erwin Frey , Klaus Kroy , Jan Wilhelm , Erich Sackmann

Recent advances in single macromolecule experiments have sparked interest in the ensemble dependence of force-extension relations. The thermodynamic limit may not be attainable for such systems, that leads to inequivalence of the…

Soft Condensed Matter · Physics 2018-07-30 Sandipan Dutta , Panayotis Benetatos

We investigate wrinkling of two-dimensional random and triangular semiflexible polymer networks under shear. Both types of semiflexible networks exhibit wrinkling above a small critical shear angle, which scales with an exponent of the…

Soft Condensed Matter · Physics 2014-06-06 Pascal Müller , Jan Kierfeld

We present exact and analytically accurate results for the problem of a flexible polymer chain in shear flow. Under such a flow the polymer tumbles, and the probability distribution of the tumbling times $\tau$ of the polymer decays…

Statistical Mechanics · Physics 2008-11-13 Dibyendu Das , Sanjib Sabhapandit

Inspired by the ubiquity of composite filamentous networks in nature we investigate models of biopolymer networks that consist of interconnected floppy and stiff filaments. Numerical simulations carried out in three dimensions allow us to…

Biomolecules · Quantitative Biology 2015-05-19 Elisabeth M. Huisman , Claus Heussinger , Cornelis Storm , Gerard T. Barkema

We study the statistical mechanics of double-stranded semi-flexible polymers using both analytical techniques and simulation. We find a transition at some finite temperature, from a type of short range order to a fundamentally different…

Statistical Mechanics · Physics 2009-10-30 T. B. Liverpool , R. Golestanian , K. Kremer

We consider random walk model of a semi-flexible polymer chain on a square and a cubic lattice to enumerate conformations of the polymer chain in two and three dimensions, respectively. The bending energy of the chain is assumed as the key…

Soft Condensed Matter · Physics 2020-08-04 Pramod Kumar Mishra

We describe the effect of hydrodynamic interactions in the sedimentation of a pair of inextensible semiflexible filaments under a uniform constant force at low Reynolds numbers. We have analyzed the different regimes and the morphology of…

Soft Condensed Matter · Physics 2009-11-13 Isaac Llopis , Ignacio Pagonabarraga , Marco Cosentino Lagomarsino , Christopher P. Lowe

We study the dynamics of a knot in a semiflexible polymer confined to a narrow channel of width comparable to the polymers' persistence length. Using a combination of Brownian dynamics simulations and a coarse-grained stochastic model, we…

Soft Condensed Matter · Physics 2008-08-14 Wolfram Mobius , Erwin Frey , Ulrich Gerland

Using path integral technique, we show exactly that for a semiflexible biopolymer in constant extension ensemble, no matter how long the polymer and how large the external force, the effects of short range correlations in the…

Biological Physics · Physics 2009-11-13 Zicong Zhou , Bela Joos

Directed polymers (strings) and semiflexible polymers (filaments) are one-dimensional objects governed by tension and bending energy, respectively. They undergo unbinding transitions in the presence of a short-range attractive potential.…

Statistical Mechanics · Physics 2010-11-11 Jan Kierfeld , Reinhard Lipowsky

Recent theoretical works exploring the hydrodynamics of soft material in non-equilibrium situations are reviewed. We discuss the role of hydrodynamic interactions for three different systems: i) the deformation and orientation of…

Soft Condensed Matter · Physics 2012-03-08 Manoel Manghi , Xaver Schlagberger , Yong-Woon Kim , Roland R. Netz