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Related papers: Polymers in Curved Boxes

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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

Monte Carlo simulations are used to study the behavior of two polymers under confinement in a cylindrical tube. Each polymer is modeled as a chain of hard spheres. We measure the free energy of the system, F, as a function of the distance…

Soft Condensed Matter · Physics 2015-06-22 James M. Polson , Logan G. Montgomery

We study the link between three seeming-disparate cases of self-avoiding polymers: strongly overlapping multiple chains in dilute solution, chains under spherical confinement, and the onset of semi-dilute solutions. Our main result is that…

Biological Physics · Physics 2007-05-23 Suckjoon Jun , Axel Arnold , Bae-Yeun Ha

We propose new polymer models for Monte Carlo simulation and apply them to a polymer chain confined in a relatively thin box which has both curved and flat sides, and show that either an ideal or an excluded-volume chain spends more time in…

Soft Condensed Matter · Physics 2007-05-23 Y. Y. Suzuki , T. Dotera , M. Hirabayashi

We consider the problem of an ideal polymer confined in a droplet. When the droplet radius is smaller than the (unconfined) polymer radius of gyration, the polymer entropy will depend on the droplet shape. We compute the resulting surface…

Condensed Matter · Physics 2009-10-28 M. Goulian , S. T. Milner

Monte Carlo simulations are used to study the conformational behavior of a semiflexible polymer confined to cylindrical and conical channels. The channels are sufficiently narrow that the conditions for the Odijk regime are marginally…

Soft Condensed Matter · Physics 2020-12-02 James M. Polson , Cameron G. Hastie

We use the method of dimensional reduction to show that a branching polymer with excluded volume interaction confined between two flat plates has, in the thermodynamic limit, a confinement free energy and density profile that is the same as…

Statistical Mechanics · Physics 2009-11-13 Rouzbeh Ghafouri , Joseph Rudnick , Robijn Bruinsma

Inwardly curved polymer brushes are present in cylindrical and spherical micelles or in membranes tubes and vesicles decorated with anchored polymers, and influence their stability. We consider such polymer brushes in good solvent and show…

Soft Condensed Matter · Physics 2010-06-22 Manoel Manghi , Miguel Aubouy , Cyprien Gay , Christian Ligoure

Through extensive Monte Carlo simulations, we systematically study the effect of chain stiffness on the packing ability of linear polymers composed of hard spheres in extremely confined monolayers, corresponding effectively to 2D films.…

We analyze static properties of a strongly confined semiflexible polymer, i.e. either trapped in a closed space or compressed by external forces, in an athermal solvent. Like a flexible polymer case, we can resort to an analogy with the…

Soft Condensed Matter · Physics 2009-11-13 Takahiro Sakaue

In this paper, we analyze the effect of geometrical constraint on the conformational properties of an infinitely long linear semiflexible polymer chain confined in-between two constraints under good solvent condition in two dimensions. The…

Soft Condensed Matter · Physics 2020-12-29 Pramod Kumar Mishra

The equilibrium thermodynamic properties of a linear polymer chain confined to a space between two impenetrable walls (lines) at a distance $D$ under various solvent conditions have been studied using series analysis and exact enumeration…

Statistical Mechanics · Physics 2007-05-23 P. K. Mishra , Sanjay Kumar

Monte Carlo simulations are used to study the translocation of a polymer into a cavity. Modeling the polymer as a hard-sphere chain with a length up to N=601 monomers, we use a multiple-histogram method to measure the variation of the…

Soft Condensed Matter · Physics 2021-03-25 James M. Polson , David R. Heckbert

Single partially confined collapsed polymers are studied in two dimensions. They are described by self-avoiding random walks with nearest-neighbour attractions below the $\Theta$-point, on the surface of an infinitely long cylinder. For the…

Statistical Mechanics · Physics 2009-11-07 Hsiao-Ping Hsu , Peter Grassberger

Understanding and computing the entropic forces exerted by polymer chains under confinement is important for many reasons, from research to applications. However, extracting properties related to the free energy, such as the force (or…

Soft Condensed Matter · Physics 2025-07-08 Marcio S. Gomes-Filho , Eugene M. Terentjev

We consider a long, semiflexible polymer, with persistence length $P$ and contour length $L$, fluctuating in a narrow cylindrical channel of diameter $D$. In the regime $D\ll P\ll L$ the free energy of confinement $\Delta F$ and the length…

Soft Condensed Matter · Physics 2011-07-19 Yingzi Yang , Theodore W. Burkhardt , Gerhard Gompper

We analyse the nature of the confinement of an infinitely long (and finite) linear semiflexible homo-polymer chain confined in between two geometrical constraints (A&B) under good solvent condition in two dimensions. The constraints are…

Soft Condensed Matter · Physics 2017-10-16 Pramod Kumar Mishra

The behavior of mesoscopic particles dissolved in a dilute solution of long, flexible, and nonadsorbing polymer chains is studied by field-theoretic methods. For spherical and cylindrical particles the solvation free energy for immersing a…

Soft Condensed Matter · Physics 2009-10-31 A. Hanke , E. Eisenriegler , S. Dietrich

Monte Carlo simulations are used to study the conformational properties of a folded semiflexible polymer confined to a long channel. We measure the variation in the conformational free energy with respect to the end-to-end distance of the…

Soft Condensed Matter · Physics 2018-09-05 James M. Polson

We report simulation results on melts of entangled linear polymers confined in a free-standing thin film. We study how the geometric constraints imposed by the confinement alter the entanglement state of the system compared to the…

Soft Condensed Matter · Physics 2019-03-06 Nicolás A. García , Jean-Louis Barrat
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