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Related papers: A polymer in a multi-interface medium

200 papers

We study theoretically situations where competition arises between an interdiffusion process and a cross-linking chemical reaction at interfaces between pieces of the same polymer material. An example of such a situation is observable in…

Soft Condensed Matter · Physics 2009-11-07 Achod Aradian , Elie Raphael , Pierre-Gilles de Gennes

We report extensive simulations of the relaxation dynamics of a self-avoiding polymer confined inside a cylindrical pore. In particular, we concentrate on examining how confinement influences the scaling behavior of the global relaxation…

Soft Condensed Matter · Physics 2009-11-13 A. Arnold , B. Bozorgui , D. Frenkel , B. -Y. Ha , S. Jun

We study the pinning transition in a (1+1)-dimensional lattice model of a fluctuating interface interacting with a corrugated impenetrable wall. The interface is modeled as an $N$-step directed one-dimensional random walk on the half-line…

Statistical Mechanics · Physics 2026-01-06 Ruijie Xu , Sergei Nechaev

In this article, I study the localization transition of an hydrophobic homopolymer in interaction with an interface between oil and water. To that aim I consider a model in which the trajectories of a simple random walk play the role of the…

Probability · Mathematics 2016-08-16 Nicolas Pétrélis

We consider a semiflexible polymer in $\mathbb Z^d$ which is a random interface model with a mixed gradient and Laplacian interaction. The strength of the two operators is governed by two parameters called lateral tension and bending…

Probability · Mathematics 2020-06-24 Alessandra Cipriani , Biltu Dan , Rajat Subhra Hazra

Using extensive Monte Carlo simulations we study the phase diagram of a symmetric binary (AB) polymer blend confined into a thin film as a function of the film thickness D. The monomer-wall interactions are short ranged and antisymmetric,…

Statistical Mechanics · Physics 2009-10-31 M. Mueller , K. Binder

The wormlike chain model of stiff polymers is a nonlinear $\sigma$-model in one spacetime dimension in which the ends are fluctuating freely. This causes important differences with respect to the presently available theory which exists only…

Soft Condensed Matter · Physics 2009-11-11 H. Kleinert , A. Chervyakov

We probe the temperature dependence of friction at the interface between a glassy poly(methylmethacrylate) lens and a flat substrate coated with a methyl-terminated self-assembled monolayer. The monolayer exhibits density defects which act…

Soft Condensed Matter · Physics 2007-12-06 Lionel Bureau

The aim of this paper is to investigate the distribution of a continuous polymer in the presence of an attractive finitely supported potential. The most intricate behavior can be observed if we simultaneously and independently vary two…

Mathematical Physics · Physics 2020-12-04 L. Koralov , S. Molchanov , B. Vainberg

The formation of interface from an initial sharp interface in polydisperse A/B blends is studied using the external potential dynamic method. The present model is a nonlocal coupling model as we take into account the correlation between…

Soft Condensed Matter · Physics 2015-05-13 Shuanhu Qi , Xinghu Zhang , Dadong Yan

We consider three different continuum polymer models, that all depend on a tunable parameter r that determines the strength of the excluded-volume interactions. In the first model chains are obtained by concatenating hard spherocylinders of…

Soft Condensed Matter · Physics 2017-10-25 Giuseppe D'Adamo , Andrea Pelissetto

The adhesion between a polymer melt and substrate is studied in the presence of chemically attached chains on the substrate surface. Extensive molecular dynamics simulations have been carried out to study the effect of temperature, tethered…

Materials Science · Physics 2016-08-31 Scott W. Sides , Gary S. Grest , Mark J. Stevens

Pinning models are built from discrete renewal sequences by rewarding (or penalizing) the trajectories according to their number of renewal epochs up to time $N$, and $N$ is then sent to infinity. They are statistical mechanics models to…

Probability · Mathematics 2015-02-27 Julien Sohier

Large-scale molecular simulations are performed to investigate tensile failure of polymer interfaces as a function of welding time $t$. Changes in the tensile stress, mode of failure and interfacial fracture energy $G_I$ are correlated to…

Soft Condensed Matter · Physics 2014-10-09 Ting Ge , Gary S. Grest , Mark O. Robbins

We present the results of analytic calculations and numerical simulations of the behaviour of a new class of chain molecules which we call thick polymers. The concept of the thickness of such a polymer, viewed as a tube, is encapsulated by…

Soft Condensed Matter · Physics 2015-06-25 D. Marenduzzo , A. Flammini , A. Trovato , J. R. Banavar , A. Maritan

Chemical reactions inside cells are typically subject to the effects both of the cell's confining surfaces and of the viscoelastic behavior of its contents. In this paper, we show how the outcome of one particular reaction of relevance to…

Soft Condensed Matter · Physics 2015-06-04 Pinaki Bhattacharyya , Rati Sharma , Binny J. Cherayil

Using a finite size scaling form for reunion probability, we show numerically the existence of a binding-unbinding transition for Directed polymers with random interaction. The cases studied are (A1) two chains in 1+1 dimensions, (A2) two…

Condensed Matter · Physics 2009-10-28 Sutapa Mukherji , Somendra M. Bhattacharjee , A. Baumgärtner

A {\it new} formula for the force vs extension relation is derived from the discrete version of the so called {\it worm like chain} model. This formula correctly fits some recent experimental data on polymer stretching and some numerical…

Statistical Mechanics · Physics 2009-11-10 A. Rosa , T. X. Hoang , D. Marenduzzo , A. Maritan

We analyze the localized phase of a general model of a directed polymer in the proximity of an interface that separates two solvents. Each monomer unit carries a charge, $\omega_n$, that determines the type (attractive or repulsive) and the…

Probability · Mathematics 2007-05-23 G. Giacomin , F. L. Toninelli

We consider models of directed random polymers interacting with a defect line, which are known to undergo a pinning/depinning (or localization/delocalization) phase transition. We are interested in critical properties and we prove, in…

Disordered Systems and Neural Networks · Physics 2009-11-11 F. L. Toninelli