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We study a model of a semiflexible long chain polymer confined to a two-dimensional slit of width $w$, and interacting with the walls of the slit. The interactions with the walls are controlled by Boltzmann weights $a$ and $b$, and the…

Statistical Mechanics · Physics 2019-12-03 Nicholas R. Beaton , Leo Li , Jonathon Liu , Thomas Wong

Self-avoiding polymers in strictly two-dimensional ($d=2$) melts are investigated by means of molecular dynamics simulation of a standard bead-spring model with chain lengths ranging up to N=2048. % The chains adopt compact configurations…

Soft Condensed Matter · Physics 2015-05-18 H. Meyer , J. P. Wittmer , T. Kreer , A. Johner , J. Baschnagel

Using a coarse-grained bead-spring model for semi-flexible macromolecules forming a polymer brush, structure and dynamics of the polymers is investigated, varying chain stiffness and grafting density. The anchoring condition for the grafted…

Soft Condensed Matter · Physics 2014-01-28 Andrey Milchev , Kurt Binder

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

Ring polymers are an intriguing class of polymers with unique physical properties, and understanding their behavior is important for developing accurate theoretical models. In this study, we investigate the effect of chain stiffness and…

Soft Condensed Matter · Physics 2023-08-24 Shota Goto , Kang Kim , Nobuyuki Matubayasi

The lattice cluster theory (LCT) for semiflexible linear telechelic melts, developed in paper I, is applied to examine the influence of chain stiffness on the average degree of self-assembly and the basic thermodynamic properties of linear…

Soft Condensed Matter · Physics 2015-06-29 Wen-Sheng Xu , Karl F. Freed

We present a Monte Carlo study of the fractal geometry of clusters formed by discrete-time simple random walks (sRW) of $L^2$ steps on a periodic square $L\times L$ lattice. We verify with high precision that the asymptotic behavior of the…

Statistical Mechanics · Physics 2026-04-24 Jiang Zhou , Ziru Deng , Pengcheng Hou

We present a Bethe approximation to study lattice models of linear polymers. The approach is variational in nature and based on the cluster variation method (CVM). We focus on a model with $(i)$ a nearest neighbor attractive energy…

Statistical Mechanics · Physics 2009-10-31 Stefano Lise , Amos Maritan , Alessandro Pelizzola

Semiflexible polymers in concentrated lyotropic solution are studied within a bead-spring model by molecular dynamics simulations, focusing on the emergence of a smectic A phase and its properties. We systematically vary the density of the…

Soft Condensed Matter · Physics 2019-01-28 Andrey Milchev , Arash Nikoubashman , Kurt Binder

We consider a lattice model of a semiflexible homopolymer chain in a bad solvent. Beside the temperature $T$, this model is described by (i) a curvature energy $\varepsilon_h$, representing the stiffness of the chain (ii) a…

Condensed Matter · Physics 2009-10-28 S. Doniach , T. Garel , H. Orland

We revisit a model of semiflexible Gaussian chains proposed by Winkler \textit{et al}, solve the dynamics of the discrete description of the model and derive exact algebraic expressions for some of the most relevant dynamical observables,…

Soft Condensed Matter · Physics 2022-11-02 Andres R. Tejedor , Jaime R. Tejedor , Jorge Ramirez

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

Using Langevin dynamics complemented by Wang-Landau Monte Carlo simulations, we study the phase behavior of single and multiple semiflexible polymer chains in solution under poor-solvent conditions. In the case of a single chain, we obtain…

We consider an inextensible, semiflexible polymer or worm-like chain, with persistence length $P$ and contour length $L$, fluctuating in a cylindrical channel of diameter $D$. In the regime $D\ll P\ll L$, corresponding to a long, tightly…

Soft Condensed Matter · Physics 2015-05-19 Theodore W. Burkhardt , Yingzi Yang , Gerhard Gompper

Kinetics of conformational change of a semiflexible polymer under mechanical external field were investigated with Langevin dynamics simulations. It is found that a semiflexible polymer exhibits large hysteresis in mechanical…

Soft Condensed Matter · Physics 2009-11-10 Natsuhiko Yoshinaga , Kenichi Yoshikawa , Takao Ohta

We study the driven translocation of a semi-flexible polymer through a nanopore by means of a modified version of the iso-flux tension propagation theory (IFTP), and extensive molecular dynamics (MD) simulations. We show that in contrast to…

Soft Condensed Matter · Physics 2016-12-28 Jalal Sarabadani , Timo Ikonen , Harri Mökkönen , Tapio Ala-Nissila , Spencer Carson , Meni Wanunu

We describe method to discuss thermodynamics of a defected semi-flexible homo-polymer chain in the two and three dimensions using fully directed self-avoiding walk lattice model. The defects are located along a line and these defects are…

Soft Condensed Matter · Physics 2020-11-23 Pramod Kumar Mishra

The cytoskeleton is an inhomogeneous network of semi-flexible filaments, which are involved in a wide variety of active biological processes. Although the cytoskeletal filaments can be very stiff and embedded in a dense and cross-linked…

Biological Physics · Physics 2019-05-24 Ines Weber , Cécile Appert-Rolland , Grégory Schehr , Ludger Santen

We present Monte Carlo computer simulations for melts of semiflexible randomly knotted and randomly concatenated ring polymers on the fcc lattice and in slit confinement. Through systematic variation of the slit width at fixed melt density,…

Soft Condensed Matter · Physics 2023-07-06 Mattia Alberto Ubertini , Angelo Rosa

We directly visualize single polymers with persistence lengths ranging from $\ell_p=0.05$ to 16 $\mu$m, dissolved in the nematic phase of rod-like {\it fd} virus. Polymers with sufficiently large persistence length undergo a coil-rod…

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