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We study of the dynamics of ring polymers confined to diffuse in a background gel at low concentrations. We do this in order to probe the inter-play between topology and dynamics in ring polymers. We develop an algorithm that takes into…

Soft Condensed Matter · Physics 2014-08-22 Davide Michieletto , Davide Marenduzzo , Enzo Orlandini , Gareth P. Alexander , Matthew S. Turner

The behavior of dense mixtures of two topologically different diblock-copolymer (CP) chains, viz., linear(L)-CP and ring(R)-CP of same molecular weight which forms lamellae is studied under confinement by two non-selective substrates. The…

Soft Condensed Matter · Physics 2017-10-04 Lenin S. Shagolsem

The properties of a semiflexible polymer with fixed ends exposed to oscillatory shear flow are investigated by simulations. The two-dimensionally confined polymer is modeled as a linear bead-spring chain, and the interaction with the fluid…

Soft Condensed Matter · Physics 2021-12-14 Antonio Lamura , Roland G. Winkler

The 3D folding of a mammalian gene can be studied by a polymer model, where the chromatin fibre is represented by a semiflexible polymer which interacts with multivalent proteins, representing complexes of DNA-binding transcription factors…

Biological Physics · Physics 2023-12-20 Andrea Bonato , Dom Corbett , Sergey Kitaev , Davide Marenduzzo , Alexander Morozov , Enzo Orlandini

In the present work, the cyclic polymer chains (rings) in structurally disordered environment (e.g. in the cross-linked polymer gel) are studied exploiting the model of closed self-avoiding walks (SAWs) trajectories on $d=3$-dimensional…

Soft Condensed Matter · Physics 2020-11-04 K. Haydukivska , V. Blavatska

By using the blob theory and computer simulations, we investigate the properties of a linear polymer performing a stationary rotational motion around a long impenetrable rod. In particular, in the simulations the rotation is induced by a…

A number of recent experiments have provided detailed observations of the configurations of long DNA strands under nano-to-micrometer sized confinement. We therefore revisit the problem of an excluded volume polymer chain confined between…

Soft Condensed Matter · Physics 2011-03-23 Debasish Chaudhuri , Bela Mulder

Despite their considerable practical and biological applications, the link between molecular properties, assembly conditions and self-organized structure in confined polymer solutions remains elusive. Here, we explore the lyotropic nematic…

Soft Condensed Matter · Physics 2023-03-21 Maxime M. C. Tortora , Daniel Jost

Topological entanglements in polymers are mimicked by sliding rings (slip-links) which enforce pair contacts between monomers. We study the force-extension curve for linear polymers in which slip-links create additional loops of variable…

Statistical Mechanics · Physics 2009-11-07 Ralf Metzler , Yacov Kantor , Mehran Kardar

We present computer simulations of concentrated solutions of unknotted nonconcatenated semiflexible ring polymers. Unlike in their flexible counterparts, shrinking involves a strong energetic penalty, favoring interpenetration and…

The looping of polymers such as DNA is a fundamental process in the molecular biology of living cells, whose interior is characterised by a high degree of molecular crowding. We here investigate in detail the looping dynamics of flexible…

Soft Condensed Matter · Physics 2014-12-24 Jaeoh Shin , Andrey G. Cherstvy , Ralf Metzler

We investigate the segregation pattern formations of strongly and weakly fluctuated Brownian particle mixtures, which are confined in spherical containers with finite volumes. We consider systems where the container restricts the motions of…

Soft Condensed Matter · Physics 2015-06-19 Akinori Awazu

We investigate by means of a number of different dynamical Monte Carlo simulation methods the self-assembly of equilibrium polymers in dilute, semidilute and concentrated solutions under good-solvent conditions. In our simulations, both…

Statistical Mechanics · Physics 2009-10-31 J. P. Wittmer , P. van der Schoot , A. Milchev , J. -L. Barrat

We study the motion of dispersed nanoprobes in entangled active-passive polymer mixtures. By comparing the two architectures of linear vs. unconcatenated and unknotted circular polymers, we demonstrate that novel, rich physics emerge. For…

Soft Condensed Matter · Physics 2021-08-27 Andrea Papale , Jan Smrek , Angelo Rosa

Extensive molecular simulations are applied to characterize the equilibrium dynamics, entanglement topology, and nonlinear extensional rheology of symmetric ring-linear polymer blends with systematically varied ring fraction $\phi_R$.…

Soft Condensed Matter · Physics 2021-12-15 Thomas C. O'Connor , Ting Ge , Gary S. Grest

The interplay of topological constraints and Coulomb interactions in static and dynamic properties of charged polymers is investigated by numerical simulations and scaling arguments. In the absence of screening, the long-range interaction…

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

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

The conformational statistics of ring polymers in melts or dense solutions is strongly affected by their quenched microscopic topological state. The effect is particularly strong for non-concatenated unknotted rings, which are known to…

Soft Condensed Matter · Physics 2015-06-17 Angelo Rosa , Ralf Everaers

The investigation of a dilute solution of phantom ideal ring polymers and ring polymers with excluded volume interactions (EVI) in a good solvent confined in a slit geometry of two parallel repulsive walls and in a solution of colloidal…

Biological Physics · Physics 2017-04-26 Z. Usatenko , J. Halun , P. Kuterba

Many remarkably robust, rapid and spontaneous self-assembly phenomena in nature can be modeled geometrically starting from a collection of rigid bunches of spheres. This paper highlights the role of symmetry in sphere-based assembly…

Combinatorics · Mathematics 2016-03-15 Meera Sitharam , Andrew Vince , Menghan Wang , Miklos Bona
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