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The dynamics of polymer decompression, i.e., a process from compressed, compact state to the relaxed swoll en conformation, can be formally described as a {\it nonlinear diffusion}. We discuss here two basic examples: (i) the expansion, or…

Soft Condensed Matter · Physics 2009-11-13 Takahiro Sakaue , Natsuhiko Yoshinaga

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…

Probability · Mathematics 2015-06-05 Frank den Hollander , Alex A. Opoku

In this paper, we investigated the annealing experiments of poly(mercaptopropylmethylsiloxane, PMMS) confined within two types of porous templates (anodic aluminium oxide, AAO, and silica) characterized by different pore diameter, d=…

Mesoscale and Nanoscale Physics · Physics 2023-07-19 Sara Zimny , Magdalena Tarnacka , Monika Geppert-Rybczyńska , Kamil Kamiński

We investigate the translocation of a stiff polymer consisting of M monomers through a nanopore in a membrane, in the presence of binding particles (chaperones) that bind onto the polymer, and partially prevent backsliding of the polymer…

Biomolecules · Quantitative Biology 2015-06-26 T. Ambjoernsson , M. A. Lomholt , R. Metzler

Polymer chains decorated with a fraction of monomers capable of forming reversible bonds form transient polymer networks that are important in soft and biological systems. If chains are flexible and the attractive monomers are all of the…

Soft Condensed Matter · Physics 2023-10-18 Lorenzo Rovigatti , Francesco Sciortino

We show the presence of both a minimum and clear oscillations in the frequency dependence of the translocation time of a polymer described as a unidimensional Rouse chain driven by a spatially localized oscillating linear potential. The…

Soft Condensed Matter · Physics 2010-09-16 Alessandro Fiasconaro , Juan José Mazo , Fernando Falo

We consider a polymer, with monomer locations modeled by the trajectory of a Markov chain, in the presence of a potential that interacts with the polymer when it visits a particular site 0. We assume that probability of an excursion of…

Probability · Mathematics 2007-05-23 Kenneth S. Alexander

Motivated by the experiments on DNA under torsion, we consider the problem of pulling a polymer out of a potential well by a force applied to one of its ends. If the force is less than a critical value, then the process is activated and has…

Soft Condensed Matter · Physics 2009-10-31 K. L. Sebastian

We consider a polymer, with monomer locations modeled by the trajectory of a Markov chain, in the presence of a potential that interacts with the polymer when it visits a particular site 0. Disorder is introduced by, for example, having the…

Probability · Mathematics 2007-05-23 Kenneth S. Alexander , Vladas Sidoravicius

Single-molecule experiments with optical tweezers have become an important tool to study the properties and mechanisms of biological systems, such as cells and nucleic acids. In particular, force unzipping experiments have been used to…

Biological Physics · Physics 2019-07-22 Marc Rico-Pasto , Isabel Pastor , Felix Ritort

We investigate the influence of polymer-pore interactions on the translocation dynamics using Langevin dynamics simulations. An attractive interaction can greatly improve translocation probability. At the same time, it also increases…

Soft Condensed Matter · Physics 2007-10-01 Kaifu Luo , Tapio Ala-Nissila , See-chen Ying , Aniket Bhattacharya

The influence of an external flow on the relaxation dynamics of a single polymer is investigated theoretically and numerically. We show that a pronounced dynamical slowdown occurs in the vicinity of the coil-stretch transition, especially…

Chaotic Dynamics · Physics 2007-05-23 Antonio Celani , Alberto Puliafito , Dario Vincenzi

We have used Langevin dynamics to simulate the forced translocation of linked polymer rings through a narrow pore. For fixed size (i.e. fixed number of monomers) the translocation time depends on the link type and on whether the rings are…

Statistical Mechanics · Physics 2020-06-24 Michele Caraglio , Enzo Orlandini , Stuart G Whittington

We propose a new and effective means for designing stable and fast-folding polypeptide sequences using a cumulant expansion of the molecular partition function. This method is unique in that $T_{Z}$, the ``cumulant design temperature''…

Condensed Matter · Physics 2007-05-23 Michael P. Morrissey , Eugene I. Shakhnovich

We consider the phase transition induced by compressing a self-avoiding walk in a slab where the walk is attached to both walls of the slab in two and three dimensions, and the resulting phase once the polymer is compressed. The process of…

Statistical Mechanics · Physics 2025-11-19 C J Bradly , N R Beaton , A L Owczarek

Using Langevin dynamics simulations, we investigate the dynamics of chaperone-assisted translocation of a flexible polymer through a nanopore. We find that increasing the binding energy $\epsilon$ between the chaperone and the chain and the…

Soft Condensed Matter · Physics 2011-08-26 Wancheng Yu , Kaifu Luo

We consider the escape of a flexible, self-avoiding polymer chain out of a confined geometry. By means of simulations, we demonstrate that the translocation time can be described by a simple scaling law that exhibits a nonlinear dependence…

Soft Condensed Matter · Physics 2009-11-11 Angelo Cacciuto , Erik Luijten

Sensitive sequencing of biopolymers by nanopore-based translocation techniques requires extension of the time spent by the molecule in the pore. We develop an electrostatic theory of polymer translocation to show that the translocation time…

Soft Condensed Matter · Physics 2018-11-12 Sahin Buyukdagli , Jalal Sarabadani , Tapio Ala-Nissila

This study deals with polymer looping, an important process in many chemical and biological systems. We investigate basic questions on the looping dynamics of a polymer under tension using the freely-jointed chain (FJC) model. Previous…

Statistical Mechanics · Physics 2024-10-03 Wout Laeremans , Anne Floor den Ouden , Jef Hooyberghs , Wouter G. Ellenbroek

Hybrid molecular dynamics/Monte Carlo simulations used to study melts of unentangled, thermoreversibly associating supramolecular polymers. In this first of a series of papers, we describe and validate a model that is effective in…

Soft Condensed Matter · Physics 2015-05-13 Robert S. Hoy , Glenn H. Fredrickson