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Based on the wormlike chain model, a coarse-grained description of the nonlinear dynamics of a weakly bending semiflexible polymer is developed. By means of a multiple scale perturbation analysis, a length-scale separation inherent to the…

Soft Condensed Matter · Physics 2007-12-04 Oskar Hallatschek , Erwin Frey , Klaus Kroy

We show that transport in the presence of entropic barriers exhibits peculiar characteristics which makes it distinctly different from that occurring through energy barriers. The constrained dynamics yields a scaling regime for the particle…

Statistical Mechanics · Physics 2009-11-11 D. Reguera , G. Schmid , P. S. Burada , J. M. Rubí , P. Hänggi

We study the translocation of a flexible polymer through extended patterned pores using molecular dynamics (MD) simulations. We consider cylindrical and conical pore geometries that can be controlled by the angle of the pore apex $\alpha$.…

Soft Condensed Matter · Physics 2026-02-11 Andri Sharma , Abhishek Chaudhuri , Rajeev Kapri

We numerically investigate the influence of self-attraction on the critical behaviour of a polymer in two dimensions, by means of an analysis of finite-size results of transfer-matrix calculations. The transfer matrix is constructed on the…

Statistical Mechanics · Physics 2015-06-25 H. W. J. Blöte , M. T. Batchelor , B. Nienhuis

Langevin Dynamics simulations of polymer translocation are performed where the polymer is stretched via two opposing forces applied on the first and last monomer before and during translocation. In this setup, polymer translocation is…

Soft Condensed Matter · Physics 2018-08-08 Hendrick W. de Haan , David Sean , Gary W. Slater

Inspired by its central role in many biological processes, the transport of biopolymers across nanoscale pores is at the heart of a single-molecule sensing technology aimed at nucleic acid and protein sequencing, as well as biomarker…

Biological Physics · Physics 2025-10-16 Martin Charron , Breeana Elliott , Nada Kerrouri , Liqun He , Vincent Tabard-Cossa

Using an Ising-like model of protein mechanical unfolding, we introduce a diffusive dynamics on its exactly known free energy profile, reducing the nonequilibrium dynamics of the model to a biased random walk. As an illustration, the model…

Biological Physics · Physics 2013-07-26 A. Pelizzola , M. Zamparo

In this article we study a \emph{non-directed} polymer model in dimension $d\ge 2$: we consider a simple symmetric random walk on $\mathbb{Z}^d$ which interacts with a random environment, represented by i.i.d. random variables…

Probability · Mathematics 2022-09-26 Quentin Berger , Niccolò Torri , Ran Wei

We study the behavior of self-propelled nano- and micro-rods in three dimensions, confined between two parallel walls, by simulations and scaling arguments. Our simulations include thermal fluctuations and hydrodynamic interactions, which…

Biological Physics · Physics 2009-02-06 Jens Elgeti , Gerhard Gompper

We study scaling properties of stochastic aggregation processes in one dimension. Numerical simulations for both diffusive and ballistic transport show that the mass distribution is characterized by two independent nontrivial exponents…

Statistical Mechanics · Physics 2007-05-23 E. Ben-Naim , P. L. Krapivsky

We study the static and dynamical properties of a harmonically confined Rouse polymer coupled to a fluctuating correlated medium, which affect each other reciprocally during their stochastic evolution. The medium is modeled by a scalar…

Soft Condensed Matter · Physics 2025-10-09 Pietro Luigi Muzzeddu , Davide Venturelli , Andrea Gambassi

We study the behavior of the elastic polymer, a model of a directed polymer in a continuous Gaussian random environment that is independent in time and correlated in space, as the dimension of the environment is taken to infinity. We give…

Probability · Mathematics 2026-05-08 Gerard Ben Arous , Pax Kivimae

The impact of thermal fluctuations on the translocation dynamics of a polymer chain driven through a narrow pore has been investigated theoretically and by means of extensive Molecular-Dynamics (MD) simulation. The theoretical consideration…

Soft Condensed Matter · Physics 2015-06-12 J. L. A. Dubbeldam , V. G. Rostiashvili , A. Milchev , T. A. Vilgis

The impact of polymer-polymer interactions of various types on the thermodynamics, structure, and accommodation of topological constraints is addressed for systems comprising many directed polymers in two spatial dimensions. The approach is…

Soft Condensed Matter · Physics 2013-07-04 D. Zeb Rocklin , Paul M. Goldbart

We study correlation properties of the generalized elastic model which accounts for the dynamics of polymers, membranes, surfaces and fluctuating interfaces, among others. We develop a theoretical framework which leads to the emergence of…

Statistical Mechanics · Physics 2012-03-19 Alessandro Taloni , Aleksei Chechkin , Joseph Klafter

We investigate by Monte Carlo simulations the zipping and unzipping dynamics of two polymers connected by one end and subject to an attractive interaction between complementary monomers. In zipping, the polymers are quenched from a high…

Soft Condensed Matter · Physics 2011-02-15 Alessandro Ferrantini , Enrico Carlon

We review recent results of the field theoretical renormalization group analysis on the scaling properties of star polymers. We give a brief account of how the numerical values of the exponents governing the scaling of star polymers were…

Soft Condensed Matter · Physics 2007-05-23 Christian von Ferber , Yurij Holovatch

Polymers in nonuniform flows undergo strong deformation, which in the presence of persistent stretching can result in the coil-stretch transition. This phenomenon has been characterized by using the formalism of nonequilibrium statistical…

Soft Condensed Matter · Physics 2023-05-24 Stefano Musacchio , Victor Steinberg , Dario Vincenzi

We study the over-damped dynamics of individual one-dimensional elastic filaments subjected to a chiral active force which propels each point of the filament at a fixed angle relative to the tangent vector of the filament at that point.…

Soft Condensed Matter · Physics 2026-03-09 Chanania Steinbock , Daniel A. Beller

We present a theoretical approach to scale the artificially fast dynamics of simulated coarse-grained polymer liquids down to its realistic value. As coarse-graining affects entropy and dissipation, two factors enter the rescaling:…

Soft Condensed Matter · Physics 2015-05-27 I. Y. Lyubimov , J. McCarty , A. Clark , M. G. Guenza