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Related papers: Collapsed 2-Dimensional Polymers on a Cylinder

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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

We investigate, using numerical simulations and analytical arguments, a simple one dimensional model for the swelling or the collapse of a closed polymer chain of size N, representing the dynamical evolution of a polymer in a \Theta-solvent…

Condensed Matter · Physics 2009-10-31 E. Pitard , J. -P. Bouchaud

A variational framework is developed to examine the equilibrium states of a semi-flexible polymer that is constrained to lie on a fixed surface. As an application the confinement of a closed polymer loop of fixed length $2\pi R$ within a…

Soft Condensed Matter · Physics 2012-02-17 Jemal Guven , Pablo Vázquez-Montejo

Structure and dynamics of a polymer under confinement gets significantly altered due to the imposed geometric restrictions. Using molecular dynamics simulations, here, we explore the effect of cylindrical confinement on the kinetics of…

Soft Condensed Matter · Physics 2026-03-11 Shubham Thwal , Suman Majumder

Monte Carlo computer simulations are used to study the conformational free energy of a folded polymer confined to a long cylindrical tube. The polymer is modeled as a hard-sphere chain. Its conformational free energy $F$ is measured as a…

Soft Condensed Matter · Physics 2018-02-07 James M. Polson , Aidan F. Tremblett , Zakary R. N. McLure

The non-equilibrium structural and dynamical properties of semiflexible polymers confined to two dimensions are investigated by molecular dynamics simulations. Three different scenarios are considered: The force-extension relation of…

Soft Condensed Matter · Physics 2013-01-08 A. Lamura , R. G. Winkler

The unfolding of a polymer below the $\theta$ point when pulled by an external force is studied both in d=2 on the lattice and in $d=3$ off lattice. A ground state analysis of finite length chains shows that the globule unfolds via multiple…

Statistical Mechanics · Physics 2009-11-07 D. Marenduzzo , A. Maritan , A. Rosa , F. Seno

Diffusion properties of a self-avoiding polymer embedded in regularly distributed obstacles with spacing a=20 and confined in two dimensions is studied numerically using the extended bond fluctuation method which we have developed recently.…

Soft Condensed Matter · Physics 2009-10-31 Ryuzo Azuma , Hajime Takayama

We write exact equations for the thermodynamic properties of a linear polymer molecule confined to walk on a lattice of finite size. The dimension of the space in which the lattice resides can be arbitrary. We also calculate polymer…

General Physics · Physics 2011-10-04 Esdmund A. Di Marzio , Charles M. Guttman

We investigate the universality of entanglement kinetics in polymer melts. We compare predictions of a recently developed constitutive equation for disentanglement to molecular dynamics simulations of both united-atom polyethylene and…

Soft Condensed Matter · Physics 2024-07-09 Benjamin E. Dolata , Marco A Galvani Cunha , Thomas O'Connor , Austin Hopkins , Peter D. Olmsted

We study analytically a model of a two dimensional, partially directed, flexible or semiflexible polymer, attached to an attractive wall which is perpendicular to the preferred direction. In addition, the polymer is stretched by an…

Statistical Mechanics · Physics 2015-05-13 Pui-Man Lam , Yi Zhen , Haijun Zhou , Jie Zhou

We present Monte Carlo simulations of semidilute solutions of long self-attracting chain polymers near their Ising type critical point. The polymers are modeled as monodisperse self-avoiding walks on the simple cubic lattice with attraction…

Soft Condensed Matter · Physics 2009-10-30 H. Frauenkron , P. Grassberger , HLRZ Juelich , Germany

The structure of flexible polymers endgrafted in cylindrical pores of diameter D is studied as a function of chain length N and grafting density \sigma, assuming good solvent conditions. A phenomenological scaling theory, describing the…

Soft Condensed Matter · Physics 2009-11-11 D. I. Dimitrov , A. Milchev , K. Binder

When the local intrinsic stiffness of a polymer chain varies over a wide range, one can observe both a crossover from rigid-rod-like behavior to (almost) Gaussian random coils and a further crossover towards self-avoiding walks in good…

Soft Condensed Matter · Physics 2015-03-17 Hsiao-Ping Hsu , Wolfgang Paul , Kurt Binder

The cavitation flow of linear-polymer solutions around a cylinder is studied by performing a large-scale molecular dynamics simulation. The addition of polymer chains remarkably suppresses the cavitation. The polymers are stretched into a…

Fluid Dynamics · Physics 2021-07-28 Yuta Asano , Hiroshi Watanabe , Hiroshi Noguchi

The interplay of topological constraints, excluded volume interactions, persistence length and dynamical entanglement length in solutions and melts of linear chains and ring polymers is investigated by means of kinetic Monte Carlo…

Statistical Mechanics · Physics 2009-10-31 M. Mueller , J. P. Wittmer , J. -L. Barrat

We investigate the effects of topological constraints (entanglements) on two dimensional polymer loops in the dense phase, and at the collapse transition (Theta point). Previous studies have shown that in the dilute phase the entangled…

Soft Condensed Matter · Physics 2009-11-10 Andreas Hanke , Ralf Metzler , Paul G. Dommersnes , Yacov Kantor , Mehran Kardar

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 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

We extensively study the phase diagram of a diblock copolymer melt confined in a cylindrical nanopore using real-space self-consistent mean-field theory. We discover a rich variety of new two-dimensional equilibrium structures that have no…

Soft Condensed Matter · Physics 2009-11-11 Weihua Li , Robert A. Wickham