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The statistical mechanics of a non-interacting polymer chain in the limit of a large number of monomers is considered when the total angular momentum, L, is fixed. The radius of gyration for a ring polymer in this situation is derived…

Statistical Mechanics · Physics 2009-11-13 J. M. Deutsch

We study the relaxation dynamics of a coarse-grained polymer chain at different degrees of stretching by both analytical means and numerical simulations. The macromolecule is modelled as a string of beads, connected by anharmonic springs,…

Soft Condensed Matter · Physics 2009-11-13 M. Febbo , A. Milchev , V. Rostiashvili , T. A. Vilgis , D. Dimitrov

Using molecular dynamics simulations we examine the dynamics of a family of model polymers with varying chain length and torsional potential barriers. We focus on features of the dynamics of polymers that are seen experimentally but absent…

Soft Condensed Matter · Physics 2019-06-11 Daniel Fragiadakis , C. Michael Roland

In a variety of situations, isolated polymer molecules are found in a vacuum and here we examine their properties. Angular momentum conservation is shown to significantly alter the average size of a chain and its conservation is only broken…

Soft Condensed Matter · Physics 2009-11-13 J. M. Deutsch

Molecular dynamics simulation of a generic polymer model is applied to study melts of polymers with different types of intrinsic stiffness. Important static observables of the single chain such as gyration radius or persistence length are…

Soft Condensed Matter · Physics 2017-09-13 Roland Faller , Alexander Kolb , Florian Müller-Plathe

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…

Molecular dynamics simulations were conducted to investigate the structural properties of melts of nonconcatenated ring polymers and compared to melts of linear polymers. The longest rings were composed of N=1600 monomers per chain which…

Soft Condensed Matter · Physics 2011-05-02 Jonathan D. Halverson , Won Bo Lee , Gary S. Grest , Alexander Y. Grosberg , Kurt Kremer

Recent developments of microscopic mechanical experiments allow the manipulation of individual polymer molecules in two main ways: \textit{uniform} stretching by external forces and \textit{non-uniform} stretching by external fields. Many…

Biological Physics · Physics 2015-06-11 Fabio Manca , Stefano Giordano , Pier Luca Palla , Fabrizio Cleri , Luciano Colombo

The non-equilibrium structural and dynamical properties of a flexible polymer tethered to a reflecting wall and subject to oscillatory linear flow are studied by numerical simulations. Polymer is confined in two dimensions and is modeled as…

Soft Condensed Matter · Physics 2024-07-30 A. Lamura

The equilibrium partitioning of linear polymer chains into flexible polymer networks is governed by intricate entropic constraints arising from configurational degrees of freedom of both chains and network, yet a quantitative understanding…

Soft Condensed Matter · Physics 2025-05-09 Haruki Takarai , Takashi Yasuda , Naoyuki Sakumichi , Takamasa Sakai

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 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

Molecular dynamics simulation methods are used to study the folding of polymer chains into packed cubic states. The polymer model, based on a chain of linked sites moving in the continuum, includes both excluded volume and torsional…

Soft Condensed Matter · Physics 2009-11-10 D. C. Rapaport

The equilibrium properties of isolated ring molecules were investigated using an off-lattice model with no excluded volume but with dynamics that preserve the topological class. Using an efficient set of long range moves, chains of more…

Soft Condensed Matter · Physics 2009-10-31 J. M. Deutsch

Molecular dynamics simulations are used to study structure formation in simple model polymer chains that are subject to excluded volume and torsional interactions. The changing conformations exhibited by chains of different lengths under…

Soft Condensed Matter · Physics 2009-11-07 D. C. Rapaport

The number of allowed configurations of a polymer is reduced by the presence of a repulsive surface resulting in an entropic force between them. We develop a method to calculate the entropic force, and detailed pressure distribution, for…

Statistical Mechanics · Physics 2014-02-11 Yosi Hammer , Yacov Kantor

Predicting the macroscopic mechanical behavior of polymeric materials from the micro-structural features has remained a challenge for decades. Existing theoretical models often fail to accurately capture the experimental data, due to…

Soft Condensed Matter · Physics 2025-07-04 Lin Zhan , Siyu Wang , Rui Xiao , Shaoxing Qu , Paul Steinmann

The scattering function and radius of gyration of an ideal polymer network are calculated depending on the strength of the bonds that form the crosslinks. Our calculations are based on an {\it exact} theorem for the characteristic function…

Condensed Matter · Physics 2016-08-31 M. P. Solf , T. A. Vilgis

The conformational behavior of a coarse-grained finite polymer chain near an attractive spherical surface was investigated by means of multicanonical Monte Carlo computer simulations. In a detailed analysis of canonical equilibrium data…

Soft Condensed Matter · Physics 2018-01-03 Handan Arkin , Wolfhard Janke

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
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