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Recently, nanofluidics experiments have been used to characterize the behavior of single DNA molecules confined to narrow slits etched with arrays of nanopits. Analysis of the experimental data relies on analytical estimates of the…

Soft Condensed Matter · Physics 2024-09-09 James M. Polson , Matthew Kozma

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

Single three dimensional polymers confined to a slab, i.e. to the region between two parallel plane walls, are studied by Monte Carlo simulations. They are described by $N$-step walks on a simple cubic lattice confined to the region $1 \le…

Soft Condensed Matter · Physics 2009-11-10 Hsiao-Ping Hsu , Peter Grassberger

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

Based upon kinetic Monte Carlo simulations of crystallization in a simple polymer model we present a new picture of the mechanism by which the thickness of lamellar polymer crystals is constrained to a value close to the minimum…

Condensed Matter · Physics 2007-05-23 Jonathan Doye , Daan Frenkel

Computer simulations are used to characterize the entropic force of one or more polymers tethered to the tip of a hard conical object that interact with a nearby hard flat surface. Pruned-enriched-Rosenbluth-method (PERM) Monte Carlo…

Soft Condensed Matter · Physics 2022-08-31 James M. Polson , Roland G. MacLennan

Motivated by recent nanofluidics experiments, we use Brownian dynamics and Monte Carlo simulations to study the conformation, organization and dynamics of two polymer chains confined to a single box-like cavity. The polymers are modeled as…

Soft Condensed Matter · Physics 2021-05-19 James M. Polson , Desiree A. Rehel

Confinement can have a dramatic effect on the behavior of all sorts of particulate systems and it therefore is an important phenomenon in many different areas of physics and technology. Here, we investigate the role played by the softness…

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

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

We report molecular dynamics simulations of the segregation of two overlapping chains in cylindrical confinement. We find that the entropic repulsion between the chains can be sufficiently strong to cause segregation on a time scale that is…

Soft Condensed Matter · Physics 2011-11-09 Axel Arnold , Suckjoon Jun

We describe a simple Monte Carlo simulation method to calculate the free-energy cost of localizing a single monomer of a polymer confined to a cavity. The localization position is chosen to be on the inside surface of the confining cavity.…

Computational Physics · Physics 2019-07-24 James M. Polson , Zakary R. N. McLure

It has been revealed by mean-field theories and computer simulations that the nature of the collapse transition of a polymer is influenced by its bending stiffness $\epsilon_{\rm b}$. In two dimensions, a recent analytical work demonstrated…

Soft Condensed Matter · Physics 2009-11-13 Jie Zhou , Zhong-Can Ou-Yang , Haijun Zhou

We consider a fully directed self-avoiding walk model on a cubic lattice to mimic the conformations of an infinitely long confined flexible polymer chain; and the confinement condition is achieved by two parallel athermal plates. The…

Soft Condensed Matter · Physics 2021-06-21 P K Mishra

We present computer simulations of a simple bead-spring model for polymer melts with intramolecular barriers. By systematically tuning the strength of the barriers, we investigate their role on the glass transition. Dynamic observables are…

Soft Condensed Matter · Physics 2015-05-14 Marco Bernabei , Angel J. Moreno , Juan Colmenero

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 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

We apply results derived in other contexts for the spectrum of the Laplace operator in curved geometries to the study of an ideal polymer chain confined to a spherical annulus in arbitrary space dimension D and conclude that the free energy…

mtrl-th · Physics 2009-10-30 K. Yaman , P. Pincus , F. Solis , T. A. Witten

Experiments using nanofluidic devices have proven effective in characterizing the physical properties of polymers confined to small cavities. Two recent studies using such methods examined the organization and dynamics of two DNA molecules…

Soft Condensed Matter · Physics 2022-12-29 Desiree A. Rehel , James M. Polson

We present a method to generate realistic, three-dimensional networks of crosslinked semiflexible polymers. The free energy of these networks is obtained from the force-extension characteristics of the individual polymers and their…

Soft Condensed Matter · Physics 2009-11-13 E. M. Huisman , C. Storm , G. T. Barkema