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A soft ellipsoid model for Gaussian polymer chains is studied, following an idea proposed by Murat and Kremer [J. Chem. Phys. 108, 4340 (1998)]. In this model chain molecules are mapped onto ellipsoids with certain shapes, and to each shape…

Soft Condensed Matter · Physics 2009-10-31 Frank Eurich , Philipp Maass

In this paper we investigate the conformation statistics of a Gaussian chain embedded in a medium of finite size, in the presence of quenched random obstacles. The similarities and differences between the case of random obstacles and the…

Disordered Systems and Neural Networks · Physics 2009-11-07 Yadin Y. Goldschmidt , Yohannes Shiferaw

A coarse-grained molecular simulation approach originally developed for entangled polymeric liquids is extended to model the mechanical behavior of long-fiber networks. The model, based on the slip-link picture of chain entanglements,…

Soft Condensed Matter · Physics 2026-04-02 Yuichi Masubuchi

We analyze the equlibrium statistics of a long linear homo-polymer chain confined in between two flat geometrical constraints under good solvent condition. The chain is ocupying two dimensional space and geometrical constraints are two…

Statistical Mechanics · Physics 2015-12-29 Pramod Kumar Mishra

In some recent experiments on entangled polymers of stress growth in startup of fast shear flows an undershoot in the shear stress is observed following the overshoot, i.e., before approaching the steady state. Whereas tumbling of the…

Soft Condensed Matter · Physics 2023-07-20 Yuichi Masubuchi , Dimitris Vlassopoulos , Giovanni Ianniruberto , Giuseppe Marrucci

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

Experimental results from mechanical viscoelastic as well as dielectric relaxation times were compared to theoretical expectations utilizing polymer scaling theory. Viscoelastic relaxation of a hydrogel at 33% relative humidity fabricated…

Soft Condensed Matter · Physics 2025-08-22 Jorge Monreal

Self-assembling, semi-flexible polymers are ubiquitous in biology and technology. However, there remain conflicting accounts of the equilibrium kinetics for such an important system. Here, by focusing on a dynamical description of a minimal…

Soft Condensed Matter · Physics 2018-07-17 Chiu Fan Lee

We consider a fully directed self-avoiding walk model on a cubic lattice to mimic the conformations of an infinitely long confined flexible polymer chain; and the confinement condition is achieved by two parallel athermal plates. The…

Soft Condensed Matter · Physics 2021-06-21 P K Mishra

In this paper, we employ Molecular Dynamics computer simulations to study and compare the statics and dynamics of linear and circular (ring) polymer chains in entangled solutions of different densities. While we confirm that linear chain…

Soft Condensed Matter · Physics 2016-02-17 Negar Nahali , Angelo Rosa

We present a scaling theory describing the collapse of a homopolymer chain in poor solvent. At time t after the beginning of the collapse, the original Gaussian chain of length N is streamlined to form N/g segments of length R(t), each…

Soft Condensed Matter · Physics 2009-11-07 Cameron F. Abrams , Namkyung Lee , Sergei Obukhov

Random packings of granular chains are presented as a model polymer system to investigate the contribution of entanglements to strain-stiffening in the absence of Brownian motion. The chain packings are sheared in triaxial compression…

Soft Condensed Matter · Physics 2015-05-30 Eric Brown , Alice Nasto , Athanasios G. Athanassiadis , Heinrich M. Jaeger

We study statistical mechanics of the self--gravitating system applying the cluster expansion method developed in solid state physics. By summing infinite series of diagrams, we derive a complex free energy whose imaginary part is related…

The linear viscoelastic response of single semiflexible polymer chains in the infinite-dilution limit is studied using Brownian dynamics simulations of coarse-grained bead-spring chains. The springs obey the FENE-Fraenkel force law, a…

Soft Condensed Matter · Physics 2026-03-03 Amit Varakhedkar , P. Sunthar , J. Ravi Prakash

Linear viscoelastic properties for a dilute polymer solution are predicted by modeling the solution as a suspension of non-interacting bead-spring chains. The present model, unlike the Rouse model, can describe the solution's rheological…

Soft Condensed Matter · Physics 2020-07-03 J Ravi Prakash

We study the behavior of a flexible polymer chain in the presence of a low-molecular weight solvent in the vicinity of a liquid-gas critical point within the framework of a self-consistent field theory. The total free energy of the dilute…

Statistical Mechanics · Physics 2015-07-29 Yu. A. Budkov , A. L. Kolesnikov , N. Georgi , M. G. Kiselev

Pair potentials that are bounded at the origin provide an accurate description of the effective interaction for many systems of dissolved soft macromolecules (e.g., flexible dendrimers). Using numerical free-energy calculations, we…

Soft Condensed Matter · Physics 2014-10-29 C. Speranza , S. Prestipino , G. Malescio , P. V. Giaquinta

The Gaussian chain model is the classical description of a polymeric chain, which provides the analytical results regarding end-to-end distance, the distribution of segments around the mass center of a chain, coarse grained interactions…

Soft Condensed Matter · Physics 2016-07-06 M. Majka , P. F. Góra

In this paper, we study the equilibrium properties of polymer chains end-tethered to a fluid membrane. The loss of conformational entropy of the polymer results in an inhomogeneous pressure field that we calculate for gaussian chains. We…

Soft Condensed Matter · Physics 2009-10-31 T. Bickel , C. Jeppesen , C. M. Marques

We study the Brownian dynamics of flexible and semiflexible polymer chains densely grafted on a flat substrate, upon rapid quenching of the system when the quality of solvent becomes poor and chains attempt collapse into a globular state.…

Soft Condensed Matter · Physics 2015-08-19 Anna Lappala , Saahil Mendiratta , Eugene M. Terentjev