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We report grand canonical Monte Carlo simulations of the critical point properties of homopolymers within the Bond Fluctuation model. By employing Configurational Bias Monte Carlo methods, chain lengths of up to N=60 monomers could be…

Condensed Matter · Physics 2009-10-28 N. B. Wilding , M. Mueller , K. Binder

The scaling of the shear modulus near the gelation/vulcanization transition is explored heuristically and analytically. It is found that in a dense melt the effective chains of the infinite cluster have sizes that scale sub-linearly with…

Soft Condensed Matter · Physics 2009-11-10 Xiangjun Xing , Swagatam Mukhopadhyay , Paul M. Goldbart

Taking into account the well known correspondence between the field theoretical O(n)-vector model in the limit $n\to 0$ and the behavior of long-flexible polymer chains in a good solvent the investigation of ideal polymer chains adsorption…

Soft Condensed Matter · Physics 2012-09-25 Zoryana Usatenko

An effective medium approach together with a multiple scattering formalism is considered to study the steady-state dynamics of suspensions of spheres and rigid stiff polymer chains (Gaussian) without excluded volume interactions. The…

Condensed Matter · Physics 2009-10-28 Radu P. Mondescu , M. Muthukumar

In this work we used dissipative particle dynamics simulations to study the copolymerization process in the presence of spatial heterogeneities caused by incompatibility between polymerizing monomers. The polymer sequence details as well as…

Soft Condensed Matter · Physics 2017-09-26 Alexey A. Gavrilov , Alexander V. Chertovich

While nearly all theoretical and computational studies of entangled polymer melts have focused on uniform samples, polymer synthesis routes always result in some dispersity, albeit narrow, of distribution of molecular weights (D_M=M_w/M_n ~…

Soft Condensed Matter · Physics 2018-08-15 Brandon Peters , K. Michael Salerno , Ting Ge , Dvora Perahia , Gary Grest

We present results of molecular dynamics simulations of very long model polymer chains analyzed by various experimentally relevant techniques. The segment motion of the chains is found to be in very good agreement with the repatation model.…

Soft Condensed Matter · Physics 2009-10-31 Mathias Puetz , Kurt Kremer , Gary S. Grest

It is common to study polymer physics through the use of idealized single-chain models, and the most popular of these is the freely jointed chain model. In certain thermodynamic ensembles, statistical mechanical treatment of this model is…

Statistical Mechanics · Physics 2026-04-14 Michael R. Buche , Alvin Chen

The work dissipated in pulling a polymer chain with internal friction is numerically calculated by considering a sequence of $N$ bead-spring-dashpots tethered at one end and being pulled at the other using a harmonic trap via linear and…

Soft Condensed Matter · Physics 2025-07-09 R. Kailasham

By Molecular Dynamics simulation of a coarse-grained bead-spring type model for a cylindrical molecular brush with a backbone chain of $N_b$ effective monomers to which with grafting density $\sigma$ side chains with $N$ effective monomers…

Soft Condensed Matter · Physics 2011-11-03 Panagiotis E. Theodorakis , Hsiao-Ping Hsu , Wolfgang Paul , Kurt Binder

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 review recent results of the field theoretical renormalization group analysis on the scaling properties of star polymers. We give a brief account of how the numerical values of the exponents governing the scaling of star polymers were…

Soft Condensed Matter · Physics 2007-05-23 Christian von Ferber , Yurij Holovatch

Using the pruned-enriched Rosenbluth Monte Carlo algorithm, the scattering functions of semiflexible macromolecules in dilute solution under good solvent conditions are estimated both in $d=2$ and $d=3$ dimensions, considering also the…

Soft Condensed Matter · Physics 2015-06-11 Hsiao-Ping Hsu , Wolfgang Paul , Kurt Binder

We present the exact solutions of various directed walk models of polymers confined to a slit and interacting with the walls of the slit via an attractive potential. We consider three geometric constraints on the ends of the polymer and…

Statistical Mechanics · Physics 2009-11-11 R Brak , A L Owczarek , A Rechnitzer , S G Whittington

We analyze a (1+1)-dimension directed random walk model of a polymer dipped in a medium constituted by two immiscible solvents separated by a flat interface. The polymer chain is heterogeneous in the sense that a single monomer may…

Probability · Mathematics 2007-05-23 Erwin Bolthausen , Giambattista Giacomin

A statistical mechanical description of flexible and semi-flexible polymer chains in a poor solvent is developed in the constant force and constant distance ensembles. We predict the existence of many intermediate states at low temperatures…

Soft Condensed Matter · Physics 2007-05-23 Sanjay Kumar , Iwan Jensen , Jesper L. Jacobsen , Anthony J. Guttmann

We study conformational properties of diluted dumbbell polymers which consist of two rings that are attached to both ends of a linear spacer segment by using analytical methods of field theory and bead-spring coarse-grained molecular…

Soft Condensed Matter · Physics 2023-03-22 Khristine Haydukivska , Viktoria Blavatska , Jaroslaw Paturej

We explore semi-dilute and concentrated oligomers and polymers in a broad range of polymerization indices N ranging from 1 to a 100 and in a range of monomer number densities $\phi$ from 0.1 to 0.8 via molecular dynamics simulations and…

Soft Condensed Matter · Physics 2020-12-01 Ashod Khederlarian , Carmen Almasri , Leonid Klushin

Equilibration of polymer melts containing highly entangled long polymer chains in confinement or with free surfaces is a challenge for computer simulations. We approach this problem by first studying polymer melts based on the soft-sphere…

Soft Condensed Matter · Physics 2020-10-14 Hsiao-Ping Hsu , Kurt Kremer

Angular correlations in dense solutions and melts of flexible polymer chains are investigated with respect to the distance $r$ between the bonds by comparing quantitative predictions of perturbation calculations with numerical data obtained…

Soft Condensed Matter · Physics 2015-05-14 J. P. Wittmer , A. Johner , S. P. Obukhov , H. Meyer , A. Cavallo , J. Baschnagel
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