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Two-dimensional semiflexible polymer rings are studied both by imaging circular DNA adsorbed on a mica surface and by Monte Carlo simulations of phantom polymers as well as of polymers with finite thickness. Comparison of size and shape of…

Biomolecules · Quantitative Biology 2010-04-15 Fabian Drube , Karen Alim , Guillaume Witz , Giovanni Dietler , Erwin Frey

In this paper, we study a model of directed polymers in random environment, where the environment is restricted to a time-space tube whose spatial width grows polynomially with time. It can be viewed as an interpolation between the…

Probability · Mathematics 2022-02-23 Ran Wei , Jinjiong Yu

We study the equilibrium configurations related to the growth of an elastic fibre in a confining flexible ring. This system represents a paradigm for a variety of biological, medical, and engineering problems. We consider a simplified…

Soft Condensed Matter · Physics 2022-10-17 Arsenio Cutolo , Massimiliano Fraldi , Gaetano Napoli , Giuseppe Puglisi

We study universal aspects of polymer conformations and transverse fluctuations for a single swollen chain characterized by a contour length $L$ and a persistence length $\ell_p$ in two dimensions (2D) and in three dimensions (3D) in the…

Soft Condensed Matter · Physics 2023-06-07 Jacob Bair , Swarnadeep Seth , Aniket Bhattacharya

The radius of gyration of a polymer chain immersed in a low molecular weight solvent is known to vary monotonically with the solvent quality. Here, we consider the behavior of a chain immersed in a high molecular weight solvent (polymer…

Soft Condensed Matter · Physics 2007-05-23 Cyprien Gay , Elie Raphael

We derive and introduce anisotropic effective pair potentials to coarse-grain solutions of semiflexible rings polymers of various lengths. The system has been recently investigated by means of full monomer-resolved computer simulations,…

Soft Condensed Matter · Physics 2015-07-21 Peter Poier , Christos N. Likos , Angel J. Moreno , Ronald Blaak

Conformations of a crowded neutral semiflexible polymer under confinement near an attractive wall are studied via coarse-grained simulations. We study the effects of the interplay of the length of the polymer, bending rigidity, and the…

Soft Condensed Matter · Physics 2023-04-25 Kamal Tripathi , Satyavani Vemparala

Unconcatenated, unknotted polymer rings in the melt are subject to strong interactions with neighboring chains due to the presence of topological constraints. We study this by computer simulation using the bond-fluctuation algorithm for…

Statistical Mechanics · Physics 2009-10-31 M. Mueller , J. P. Wittmer , M. E. Cates

We consider polymers in which M randomly selected pairs of monomers are restricted to be in contact. Analytical arguments and numerical simulations show that an ideal (Gaussian) chain of N monomers remains expanded as long as M<<N; its mean…

Condensed Matter · Physics 2009-10-28 Yacov Kantor , Mehran Kardar

Ring, or cyclic, polymers have unique properties compared to linear polymers, due to their topologically closed structure that has no beginning or end. Experimental measurements on molecular ring polymers are challenging due to their…

Soft Condensed Matter · Physics 2023-03-15 Ruben Verweij , Julio Melio , Indrani Chakraborty , Daniela J Kraft

Solutions of semiflexible polymers confined by repulsive planar walls are studied by density functional theory and Molecular Dynamics simulations, to clarify the competition between the chain alignment favored by the wall and the depletion…

Soft Condensed Matter · Physics 2016-05-25 Sergei A. Egorov , Andrey Milchev , Peter Virnau , Kurt Binder

We study knotted polymers in equilibrium with an array of obstacles which models confinement in a gel or immersion in a melt. We find a crossover in both the geometrical and the topological behavior of the polymer. When the polymers' radius…

Soft Condensed Matter · Physics 2013-05-29 Enzo Orlandini , Attilio L. Stella , Carlo Vanderzande

We present an analysis of the impact of structural disorder on the static scattering function of f-armed star branched polymers in d dimensions. To this end, we consider the model of a star polymer immersed in a good solvent in the presence…

Soft Condensed Matter · Physics 2012-10-09 V. Blavatska , C. von Ferber , Yu. Holovatch

Elucidating the physics of a concentrated suspension of ring polymers, or of an ensemble of ring polymers in a complex environment, is an important outstanding question in polymer physics. Many of the characteristic features of these…

Soft Condensed Matter · Physics 2017-08-09 Davide Michieletto , Enzo Orlandini , Davide Marenduzzo , Matthew S. Turner

The shape of semiflexible polymer rings is studied over their whole range of flexibility. Investigating the joint distribution of asphericity and nature of asphericity as well as their respective averages we find two distinct shape regimes…

Biomolecules · Quantitative Biology 2008-02-07 Karen Alim , Erwin Frey

The statistical mechanics of polymer loops entangled in the two-dimensional array of randomly distributed obstacles of infinite length is discussed. The area of the loop projected to the plane perpendicular to the obstacles is used as a…

Condensed Matter · Physics 2009-10-28 Matthias Otto , Thomas A. Vilgis

We study the conformational properties of complex Gaussian polymers containing $f_c$ linear branches and $f_r$ closed loops, periodically tethered at $n$ branching points to either a linear polymer backbone (generalized bottlebrush…

Soft Condensed Matter · Physics 2022-03-21 K. Haydukivska , V. Blavatska

We revisit the classical problem of a polymer confined in a slit in both of its static and dynamic aspects. We confirm a number of well known scaling predictions and analyse their range of validity by means of comprehensive Molecular…

A key assumption of polymer physics is that the random chains polymers extend in flow. Recent experimental evidence has shown that polymer chains compress in Couette flow in a manner counter to expectation. Here, scaling arguments developed…

Soft Condensed Matter · Physics 2018-06-05 Dave E. Dunstan

Polymers are an effective test-bed for studying topological constraints in condensed matter due to a wide array of synthetically-available chain topologies. When linear and ring polymers are blended together, emergent rheological properties…

Soft Condensed Matter · Physics 2024-04-25 Daniel L. Vigil , Ting Ge , Michael Rubinstein , Thomas C. O'Connor , Gary S. Grest