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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

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

Polymers confined to a narrow channel are subject to strong entropic forces that tend to drive the molecules apart. In this study, we use Monte Carlo computer simulations to study the segregation behavior of two flexible hard-sphere…

Soft Condensed Matter · Physics 2021-01-27 James M. Polson , Qinxin Zhu

Monte Carlo computer simulations are used to study the segregation behaviour of two polymers under cylindrical confinement. Using a multiple-histogram method, the conformational free energy, F, of the polymers was measured as a function of…

Soft Condensed Matter · Physics 2018-05-24 James M. Polson , Deanna R. -M. Kerry

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 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

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

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

We use computer simulations to investigate the stability of a two-component polymer brush de-mixing on a curved template into phases of different morphological properties. It has been previously shown via molecular dynamics simulations that…

Soft Condensed Matter · Physics 2015-06-03 William L. Miller , Behnaz Bozorgui , Katherine Klymko , Angelo Cacciuto

We study the free energy of the worm-like-chain model, in the constant-extension ensemble, as a function of the stiffness for finite chains of length L. We find that the polymer properties obtained in this ensemble are "qualitatively"…

Soft Condensed Matter · Physics 2009-11-07 Abhishek Dhar , Debasish Chaudhuri

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 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 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

The free energy cost of confining a star polymer where $f$ flexible polymer chains containing $N$ monomeric units are tethered to a central unit in a slit with two parallel repulsive walls a distance $D$ apart is considered, for good…

Soft Condensed Matter · Physics 2013-10-29 J. Paturej , A. Milchev , S. A. Egorov , K. Binder

We compute the free energy of confinement ${\cal{F}}$ for a wormlike chain (WLC), with persistence length $l_p$, that is confined to the surface of a cylinder of radius $R$ under an external tension $f$ using a mean field variational…

Soft Condensed Matter · Physics 2023-11-28 Greg Morrison , D. Thirumalai

Monte Carlo simulations are used to study the translocation of a polymer into and out of a ellipsoidal cavity through a narrow pore. We measure the polymer free energy F as a function of a translocation coordinate, s, defined to be the…

Soft Condensed Matter · Physics 2015-05-20 James M. Polson

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

We study the thermodynamic properties of a semiflexible polymer confined inside strips of widths L<=9 defined on a square lattice. The polymer is modeled as a self-avoiding walk and a short range interaction between the monomers and the…

Statistical Mechanics · Physics 2007-05-23 Jurgen F. Stilck

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

A microscopic theory of the free energy barriers and folding routes for minimally frustrated proteins is presented, greatly expanding on the presentation of the variational approach outlined previously [J. J. Portman, S. Takada, P. G.…

Soft Condensed Matter · Physics 2009-10-31 John J. Portman , Shoji Takada , Peter G. Wolynes
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