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Blends of polymers of different topologies, such as ring and supercoiled, naturally occur in biology and often exhibit emergent viscoelastic properties coveted in industry. However, due to their complexity, along with the difficulty of…

The new method of the mean-field approximation is extended. An approach which enables to estimate some parameters of the transition from the isotropic state of hard sticks to the nematic ordering phase is suggested. An technique of the…

Statistical Mechanics · Physics 2018-02-14 Andrei N. Yakunin

Significant challenges exist in the nonlinear extensional rheology of entangled polymers. With simulations, we show that the key to understanding this problem is to recognize the existence and importance of a strain-induced crossover from…

Soft Condensed Matter · Physics 2025-12-01 Yin Wang , Lin-Feng Wu , Yi-Bo Shao , Zhe Wang

Twist stiffness and an asymmetric bending stiffness of a polymer or a polymer bundle is captured by the elastic ribbon model. We investigate the effects a ring geometry induces to a thermally fluctuating ribbon, finding bend-bend coupling…

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

We present results from molecular dynamics simulations of a spherically confined neutral polymer in the presence of crowding agents, studying polymer shapes and conformations as a function of the confining potential, solvent quality and the…

Soft Condensed Matter · Physics 2020-01-29 Kamal Tripathi , Gautam I. Menon , Satyavani Vemparala

We report on quantitative comparisons between simulation results of a bead-spring model and mode-coupling theory calculations for the structural and conformational dynamics of a supercooled, unentangled polymer melt. We find…

Soft Condensed Matter · Physics 2009-11-13 Song-Ho Chong , Martin Aichele , Hendrik Meyer , Matthias Fuchs , Jörg Baschnagel

Some recent results on the rotational dynamics of polymers are reviewed and extended. We focus here on the relaxation of a polymer, either flexible or semiflexible, initially wrapped around a rigid rod. We also study the steady polymer…

Statistical Mechanics · Physics 2015-06-22 Jean-Charles Walter , Michiel Laleman , Marco Baiesi , Enrico Carlon

We investigate the nonequilibrium tube length fluctuations during the relaxation of an initially stretched, entangled polymer chain. The time-dependent variance $\sigma^2$ of the tube length follows in the early-time regime a simple…

Statistical Mechanics · Physics 2009-11-07 Gunter M. Schuetz , Jaime E. Santos

Mean-field techniques provide a rather accurate description of single-chain conformations in spatially inhomogeneous polymer systems containing interfaces or surfaces. Intermolecular correlations, however, are not described by the…

Soft Condensed Matter · Physics 2009-11-13 Martin Hömberg , Marcus Müller

We present atomistic molecular dynamics simulations of two Polyethylene systems where all entanglements are trapped: a perfect network, and a melt with grafted chain ends. We examine microscopically at what level topological constraints can…

Soft Condensed Matter · Physics 2015-03-13 Stefanos D. Anogiannakis , Christos Tzoumanekas , Doros N. Theodorou

We introduce a class of models of semiflexible polymers. The latter are characterized by a strong rigidity, the correlation length associated to the gradient-gradient correlations, called the persistence length, being of the same order as…

Probability · Mathematics 2011-08-25 Ostap Hryniv , Yvan Velenik

The molecular dynamics simulations were used to obtain the radius of gyration of real ring polymer chains with different topological structures consisting of 360 monomers. We focus on the entropic force which is exerted by a dilute solution…

Soft Condensed Matter · Physics 2024-01-18 P. Kuterba , Z. Danel , W. Janke

The diffusion of molecules (penetrants) of variable size, shape, and chemistry through dense crosslinked polymer networks is a fundamental scientific problem that is broadly relevant in materials, polymer, physical and biological chemistry.…

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

The nematic ordering in semiflexible polymers with contour length $L$ exceeding their persistence length $\ell_p$ is described by a confinement of the polymers in a cylinder of radius $r_{eff}$ much larger than the radius $r_\rho$, expected…

Soft Condensed Matter · Physics 2016-05-11 Sergei A. Egorov , Andrey Milchev , Kurt Binder

We consider the dynamics of pore-driven polymer translocation through a nanopore to semi-infinite space when the chain is initially confined and equilibrated in a narrow channel. To this end, we use Langevin dynamics (LD) simulations and…

Soft Condensed Matter · Physics 2025-03-11 Soheila Emamyari , Jalal Sarabadani , Ralf Metzler , Tapio Ala-Nissila

We study the equilibrium properties of an Ising model on a disordered random network where the disorder can be quenched or annealed. The network consists of four-fold coordinated sites connected via variable length one-dimensional chains.…

Statistical Mechanics · Physics 2015-06-22 Abdul N. Malmi-Kakkada , Oriol T. Valls , Chandan Dasgupta

In this paper, we construct an effective model for the dynamics of an excluded-volume chain under confinement, by extending the formalism of Rouse modes. We make specific predictions about the behavior of the modes for a single polymer…

Soft Condensed Matter · Physics 2009-09-29 Joshua Kalb , Bulbul Chakraborty

We study structural properties of a ring polymeric melt confined in a film in comparison to a linear counterpart using molecular dynamics simulations. Local structure orderings of ring and linear polymers in the vicinity of the surface are…

Soft Condensed Matter · Physics 2015-10-21 Eunsang Lee , YounJoon Jung

We employ a first principles, force-level approach to self-consistently construct the anharmonic tube confinement field for entangled fluids of rigid needles and for primitive-path (PP) level chains in two limiting situations where chain…

Soft Condensed Matter · Physics 2016-12-21 Kenneth S. Schweizer , Daniel M. Sussman
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