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This paper studies a polymer chain in the vicinity of a linear interface separating two immiscible solvents. The polymer consists of random monomer types, while the interface carries random charges. Both the monomer types and the charges…

概率论 · 数学 2015-06-05 Frank den Hollander , Alex A. Opoku

We study an undirected polymer chain living on the 1-dimensional integer lattice and carrying i.i.d.\ random charges. Each self-intersection of the polymer contributes to the Hamiltonian an energy that is equal to the product of the charges…

概率论 · 数学 2016-03-23 F. Caravenna , F. Den Hollander , N. Pétrélis , J. Poisat

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…

软凝聚态物质 · 物理学 2015-06-25 D. Marenduzzo , A. Flammini , A. Trovato , J. R. Banavar , A. Maritan

In this paper we consider a model which describes a polymer chain interacting with an infinity of equi-spaced linear interfaces. The distance between two consecutive interfaces is denoted by T = T_N and is allowed to grow with the size N of…

概率论 · 数学 2009-01-20 Francesco Caravenna , Nicolas Pétrélis

In this paper we consider a two-dimensional model of a copolymer consisting of a random concatenation of hydrophilic and hydrophobic monomers, immersed in a micro-emulsion of random droplets of oil and water. The copolymer interacts with…

概率论 · 数学 2012-04-06 Frank den Hollander , Nicolas Pétrélis

Mutually repelling particles form spontaneously ordered clusters when forced into confinement. The clusters may adopt similar spatial arrangements even if the underlying particle interactions are contrastingly different. Here we demonstrate…

软凝聚态物质 · 物理学 2026-02-13 P. D. S. de Lima , R. De La Cour , K. Gaff , J. M. de Araújo , S. J. Cox , M. S. Ferreira , S. Hutzler

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…

软凝聚态物质 · 物理学 2019-03-06 Nicolás A. García , Jean-Louis Barrat

Current theories of heteropolymers are inherently macrpscopic, but are applied to folding proteins which are only mesoscopic. In these theories, one computes the averaged free energy over sequences, always assuming that it is self-averaging…

软凝聚态物质 · 物理学 2009-11-07 Jeffrey Chuang , Alexander Yu. Grosberg , Mehran Kardar

Shape transformations in driven and damped molecular chains are considered. Closed chains of weakly coupled molecular subunits under the action of spatially homogeneous time-periodic external field are studied. The coupling between the…

斑图形成与孤子 · 物理学 2016-07-01 Yuri B. Gaididei , Juan F. R. Archilla , Víctor J. Sánchez-Morcillo , Carlos Gorria

We perform a numerical study of a new microcanonical polymer model on the three dimensional cubic lattice, consisting of ideal chains whose range and number of nearest-neighbor contacts are fixed to given values. Our simulations suggest an…

统计力学 · 物理学 2025-07-09 Simone Franchini , Riccardo Balzan

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…

软凝聚态物质 · 物理学 2021-05-19 James M. Polson , Desiree A. Rehel

We study by Monte Carlo simulations and scaling analysis two models of pairs of confined and dense ring polymers in two dimensions. The pair of ring polymers are modelled by squared lattice polygons confined within a square cavity and they…

软凝聚态物质 · 物理学 2022-01-05 EJ Janse van Rensburg , E Orlandini

We consider a system which consists of a Cahn-Hilliard equation coupled with a Cahn-Hilliard-Oono equation in a bounded domain of $\mathbb{R}^d$, $d = 2, 3$. This system accounts for macrophase and microphase separation in a polymer mixture…

偏微分方程分析 · 数学 2022-03-25 Andrea Di Primio , Maurizio Grasselli

Constant temperature molecular dynamics simulations were used to study solutions of flexible polyelectrolyte chains at nonzero concentrations with explicit counterions and unscreened coulombic interactions. Counterion condensation, measured…

统计力学 · 物理学 2009-10-31 J. C. Chu , C. H. Mak

Biological organisms often have elongated, flexible structures with some degree of chirality in their bodies or movements. In nature, these organisms frequently take advantage of self-encapsulation mechanisms that create folded…

软凝聚态物质 · 物理学 2024-10-04 Lorenzo Caprini , Iman Abdoli , Umberto Marini Bettolo Marconi , Hartmut Löwen

A number of recent experiments have provided detailed observations of the configurations of long DNA strands under nano-to-micrometer sized confinement. We therefore revisit the problem of an excluded volume polymer chain confined between…

软凝聚态物质 · 物理学 2011-03-23 Debasish Chaudhuri , Bela Mulder

We consider a statistical mechanical model of a generic flexible polyelectrolyte, comprised of identically charged monomers with long range electrostatic interactions, and short-range interactions quantified by a disorder field along the…

软凝聚态物质 · 物理学 2025-04-24 V. Stepanyan , A. Badasyan , V. Morozov , Y. Mamasakhlisov , R. Podgornik

Three-coupled chains of quarter-filled Hubbard model with dimerization have been studied for periodic boundary conditions. By use of a renormalization group method, it is found that the interchain hopping is renormalized to zero leading to…

强关联电子 · 物理学 2009-10-31 M. Tsuchiizu , Y. Suzumura

We study the conformations of polymer chains in a poor solvent, with and without bending rigidity, by means of a simple statistical mechanics model. This model can be exactly solved for chains of length up to N=55 using exact enumeration…

统计力学 · 物理学 2007-11-26 Anthony J. Guttmann , Jesper L. Jacobsen , Iwan Jensen , Sanjay Kumar

We present a set of molecular dynamics (MD) simulations of strongly charged, flexible polyelectrolyte chains under poor solvent conditions in a salt free solution. Structural properties of the chains and of the solutions are reported. By…

软凝聚态物质 · 物理学 2007-05-23 Uwe Micka , Christian Holm , Kurt Kremer