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We present an in-depth multi-scale analysis of the conformations and dynamics of polar active polymers, comparing very dilute and very dense conditions. We unveil characteristic length and time scales, common to both dilute and dense…

Soft Condensed Matter · Physics 2024-04-15 Mattia Alberto Ubertini , Emanuele Locatelli , Angelo Rosa

This paper is concerned with two related types of directed polymers in a random medium. The first one is a d-dimensional Brownian motion living in a random environment which is Brownian in time and homogeneous in space. The second is a…

Probability · Mathematics 2007-10-05 Agnese Cadel , Samy Tindel , Frederi Viens

In this work, we compare the structural and dynamic behavior of active filaments in two dimensions using tangential and push-pull models, including a variant with passive end monomers. These models serve as valuable frameworks for…

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 study the dynamical properties of semiflexible polymers with a recently introduced bead-spring model. We focus on double-stranded DNA. The two parameters of the model, $T^*$ and $\nu$, are chosen to match its experimental force-extension…

Soft Condensed Matter · Physics 2014-11-07 Gerard T. Barkema , Debabrata Panja , J. M. J. van Leeuwen

We consider the motion of semiflexible polymers in double-well potentials. We calculate shape, energy, and effective diffusion constant of kink excitations, and in particular their dependence on the bending rigidity of the semiflexible…

Statistical Mechanics · Physics 2009-11-11 P. Kraikivski , R. Lipowsky , J. Kierfeld

We consider an inextensible, semiflexible polymer or worm-like chain which is confined in the transverse direction by a parabolic potential and subject to a longitudinal force at the ends, so that the polymer is stretched out and…

Soft Condensed Matter · Physics 2015-05-28 Theodore W. Burkhardt

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

Confinement is a versatile and well-established tool to study the properties of polymers either to understand biological processes or to develop new nano-biomaterials. We investigate the conformations of a semiflexible polymer ring in weak…

Soft Condensed Matter · Physics 2010-06-25 Katja Ostermeir , Karen Alim , Erwin Frey

Ring, or cyclic, polymers have unique properties compared to linear polymers, due to their topologically closed structure that has no beginning or end. Experimental measurements on molecular ring polymers are challenging due to their…

Soft Condensed Matter · Physics 2023-03-15 Ruben Verweij , Julio Melio , Indrani Chakraborty , Daniela J Kraft

In Part I of this contribution, a systematic coarse-grained description of the dynamics of a weakly-bending semiflexible polymer was developed. Here, we discuss analytical solutions of the established deterministic partial…

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

Chain-like macromolecules (polymers) show characteristic adsorption properties due to their flexibility and internal degrees of freedom, when attracted to surfaces and interfaces. In this review we discuss concepts and features that are…

Soft Condensed Matter · Physics 2009-11-07 Roland Netz , David Andelman

The entropic force exerted by the Brownian fluctuations of a grafted semiflexible polymer upon a rigid smooth wall are calculated both analytically and by Monte Carlo simulations. Such forces are thought to play an important role for…

Soft Condensed Matter · Physics 2007-05-23 Azam Gholami , Jan Wilhelm , Erwin Frey

We study polymers attached to spherical (circular) or paraboloidal (parabolic) probes in three (two) dimensions. Both self-avoiding and random walks are examined numerically. The behavior of a polymer of size $R_0$ attached to the tip of a…

Statistical Mechanics · Physics 2015-05-14 Roy Bubis , Yacov Kantor , Mehran Kardar

We investigate the dynamics and the pathways of the collapse of a single, semiflexible polymer in a poor solvent via 3-D Brownian Dynamics simulations. Earlier work indicates that the condensation of semiflexible polymers generically…

Soft Condensed Matter · Physics 2009-11-10 Alberto Montesi , Matteo Pasquali , F. C. MacKintosh

The tumbling dynamics of individual polymers in semidilute solution is studied by large-scale non-equilibrium mesoscale hydrodynamic simulations. We find that the tumbling time is equal to the non-equilibrium relaxation time of the polymer…

Soft Condensed Matter · Physics 2011-03-21 C. -C. Huang , G. Sutmann , G. Gompper , R. G. Winkler

We present a unified scaling description for the dynamics of monomers of a semiflexible chain under good solvent condition in the free draining limit. We consider both the cases where the contour length $L$ is comparable to the persistence…

Biological Physics · Physics 2015-06-18 Aiqun Huang , Aniket Bhattacharya , Kurt Binder

Inspired by how the shape deformations in active organisms help them to migrate through disordered porous environments, we simulate active ring polymers in two-dimensional random porous media. Flexible and inextensible active ring polymers…

Soft Condensed Matter · Physics 2022-08-16 Ligesh Theeyancheri , Subhasish Chaki , Tapomoy Bhattacharjee , Rajarshi Chakrabarti

We consider a moving target and an active pursing agent, modeled as an intelligent active Brownian particle capable of sensing the instantaneous target location and adjust its direction of motion accordingly. An analytical and simulation…

Soft Condensed Matter · Physics 2024-06-04 Segun Goh , Roland G. Winkler , Gerhard Gompper

We present a theoretical description of the dynamics of a semi-flexible polymer being pulled through a nanopore by an external force acting at the pore. Our theory is based on the tensile blob picture of Pincus in which the front of the…

Statistical Mechanics · Physics 2015-09-16 Pui-Man Lam , Yi Zhen
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