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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

Randomly branching polymers with {\em annealed} connectivity are model systems for ring polymers and chromosomes. In this context, the branched structure represents transient folding induced by topological constraints. Here we present…

Statistical Mechanics · Physics 2016-11-03 Angelo Rosa , Ralf Everaers

We present results from molecular dynamics simulations of strictly two-dimensional (2D) polymer melts and thin polymer films in a slit geometry of thickness of the order of the radius of gyration. We find that the dynamics of the 2D melt is…

Soft Condensed Matter · Physics 2007-05-23 H. Meyer , T. Kreer , A. Cavallo , J. P. Wittmer , J. Baschnagel

The tube model is a central concept in polymer physics, and allows to reduce the complex many-filament problem of an entangled polymer solution to a single filament description. We investigate the probability distribution function of…

Soft Condensed Matter · Physics 2009-08-12 Hauke Hinsch , Erwin Frey

We study entanglement and other correlation properties of random states in high-dimensional bipartite systems. These correlations are quantified by parameters that are subject to the "concentration of measure" phenomenon, meaning that on a…

Quantum Physics · Physics 2007-05-23 Patrick Hayden , Debbie W. Leung , Andreas Winter

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

Friction between ring-polymer brushes at melt densities sliding past each other are studied using extensive course-grained molecular dynamics simulations and scaling arguments, and the results are compared to the friction between…

Soft Condensed Matter · Physics 2015-05-20 A. Erbas , J. Paturej

Viscosity overshoot of entangled polymer melts has been observed under shear flow and uniaxial elongational flow, but has never been observed under biaxial elongational flow. We confirmed the presence of viscosity overshoot under biaxial…

Soft Condensed Matter · Physics 2021-07-22 T. Murashima , K. Hagita , T. Kawakatsu

In Escherichia coli (E. coli), entropic repulsion between the two daughter DNA ring polymers under cylindrical confinement is believed to be an important factor governing chromosomal segregation. The repulsion can be enhanced by topological…

Soft Condensed Matter · Physics 2026-04-30 Harsh Doshi , Shreerang Pande , Sathish K. Sukumaran , Apratim Chatterji

We propose a simple mean-field theory for the structure of ring polymer melts. By combining the notion of topological volume fraction and a classical van der Waals theory of fluids, we take into account many body effects of topological…

Soft Condensed Matter · Physics 2015-05-27 Takahiro Sakaue

We analyze the critical connectivity of systems of penetrable $d$-dimensional spheres having size distributions in terms of weighed random geometrical graphs, in which vertex coordinates correspond to random positions of the sphere centers…

Statistical Mechanics · Physics 2015-08-11 Claudio Grimaldi

We have used Langevin dynamics to simulate the forced translocation of linked polymer rings through a narrow pore. For fixed size (i.e. fixed number of monomers) the translocation time depends on the link type and on whether the rings are…

Statistical Mechanics · Physics 2020-06-24 Michele Caraglio , Enzo Orlandini , Stuart G Whittington

We consider N initially disentangled spins, embedded in a ring or d-dimensional lattice of arbitrary geometry, which interact via some long--range Ising--type interaction. We investigate relations between entanglement properties of the…

Quantum Physics · Physics 2016-08-16 W. Dür , L. Hartmann , M. Hein , M. Lewenstein , H. J. Briegel

The spatial correlations of entangled polymer dynamics are examined by molecular dynamics simulations and neutron spin-echo spectroscopy. Due to the soft nature of topological constraints, the initial spatial decays of intermediate…

We discuss simulations of a simple model for polymer blends in the framework of the Rouse model. At odds with standard predictions, large dynamic asymmetry between the two components induces strong non-exponentiality of the Rouse modes for…

Soft Condensed Matter · Physics 2009-11-13 Angel J. Moreno , Juan Colmenero

Ring polymers are characterized by topology-specific entanglements called threadings. In the limit of large rings, it is conjectured that a "topological glass" should emerge due to the proliferation of threadings. In this study, we used…

Soft Condensed Matter · Physics 2024-11-19 Shota Goto , Takenobu Nakamura , Davide Michieletto , Kang Kim , Nobuyuki Matubayasi

Ring polymers exhibit unique flow properties due to their closed chain topology. Despite recent progress, we have not yet achieved a full understanding of the nonequilibrium flow behavior of rings in nondilute solutions where intermolecular…

We investigated the static and dynamic properties of a Rouse ring polymer modified by introducing an effective, spherically symmetric, attractive potential of entropic nature and a memory function describing the effect of dynamic…

Soft Condensed Matter · Physics 2026-05-27 Nail Fatkullin , Carlos Mattea , Kevin Lindt , Siegfried Stapf , Margarita Kruteva

The statistical mechanics of a long knotted collapsed polymer is determined by a free-energy with a knot-dependent subleading term, which is linked to the length of the shortest polymer that can hold such knot. The only other parameter…

Statistical Mechanics · Physics 2014-12-01 Marco Baiesi , Enzo Orlandini , Attilio L. Stella

The correlations between the segments of a semidilute polymer solution are found to induce correlations in the positions of small particles added to the solution. Small means a diameter much less than the polymer's correlation length. In…

Soft Condensed Matter · Physics 2009-10-30 Richard P. Sear
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