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We consider a model of a polymer in $\mathbb{Z}^{d+1}$, constrained to join 0 and a hyperplane at distance $N$. The polymer is subject to a quenched nonnegative random environment. Alternatively, the model describes crossing random walks in…

Probability · Mathematics 2012-04-11 Dmitry Ioffe , Yvan Velenik

The non-equilibrium structural and dynamical properties of a semiflexible polymer confined in a cylindrical microchannel and exposed to a Poiseuille flow is studied by mesoscale hydrodynamic simulations. For a polymer with a length half of…

Soft Condensed Matter · Physics 2010-08-09 Raghunath Chelakkot , Roland. G. Winkler , Gerhard Gompper

We study the equilibrium dynamics of a single polymer chain under good solvent condition. Special emphasis is laid on varying the drag force experienced by the chain while it moves. To this end we model the solvent in a mesoscopic manner by…

Soft Condensed Matter · Physics 2019-05-01 Suman Majumder , Henrik Christiansen , Wolfhard Janke

This work introduces a methodology for the statistical mechanical analysis of polymeric chains under tension controlled by optical or magnetic tweezers at thermal equilibrium with an embedding fluid medium. The response of single bonds…

Soft Condensed Matter · Physics 2020-02-26 Aaron C. Meyer , Yahya Öz , Norman Gundlach , Michael Karbach , Ping Lu , Gerhard Müller

We study the dynamics of flexible, semiflexible, and self-avoiding polymer chains moving under a Kramers metastable potential. Due to thermal noise, the polymers, initially placed in the metastable well, can cross the potential barrier, but…

Soft Condensed Matter · Physics 2013-12-05 Jaeoh Shin , Timo Ikonen , Mahendra D. Khandkar , Tapio Ala-Nissila , Wokyung Sung

We study the relaxation dynamics of a coarse-grained polymer chain at different degrees of stretching by both analytical means and numerical simulations. The macromolecule is modelled as a string of beads, connected by anharmonic springs,…

Soft Condensed Matter · Physics 2009-11-13 M. Febbo , A. Milchev , V. Rostiashvili , T. A. Vilgis , D. Dimitrov

We consider a general discrete model for heterogeneous semiflexible polymer chains. Both the thermal noise and the inhomogeneous character of the chain (the disorder) are modeled in terms of random rotations. We focus on the quenched…

Probability · Mathematics 2008-12-20 Francesco Caravenna , Giambattista Giacomin , Massimiliano Gubinelli

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

We investigate theoretically a diffusion-limited reaction between a reactant attached to a Rouse polymer and an external fixed reactive site in confinement. The present work completes and goes beyond a previous study [T. Gu\'erin, O.…

Statistical Mechanics · Physics 2015-06-11 T. Guérin , O. Bénichou , R. Voituriez

The static and dynamic properties of a cyclic Rouse chain modified by the introduction of an effective, spherically symmetric, attracting potential of entropic nature is studied. It is shown that a relatively weak potential can lead to a…

Soft Condensed Matter · Physics 2025-02-26 Nail Fatkullin , Carlos Mattea , Kevin Lindt , Siegfried Stapf , Margarita Kruteva

We analyze the nonequilibrium dynamics of single inextensible semiflexible biopolymers as stretching forces are applied at the ends. Based on different (contradicting) heuristic arguments, various scaling laws have been proposed for the…

Soft Condensed Matter · Physics 2007-09-17 B. Obermayer , O. Hallatschek , E. Frey , K. Kroy

Polyampholytes (PA) are charged polymers composed of positively and negatively charged monomers along their backbone. The sequence of the charged monomers and the bending of the chain significantly influence the conformation and dynamical…

Soft Condensed Matter · Physics 2024-08-29 Rakesh Palariya , Sunil P. Singh

Block copolymer melts offer a unique template to control the position and alignment of nanoparticles due to their ability to self-assemble into periodic ordered structures. Active Brownian particles are shown to co-assemble with block…

Soft Condensed Matter · Physics 2024-03-14 Javier Diaz , Ignacio Pagonabarraga

We investigate the structural and dynamic properties of active Brownian particles (APs) confined within a soft annulus-shaped channel. Depending on the strength of the confinement and the P\'eclet number, we observe a novel re-entrant…

Soft Condensed Matter · Physics 2025-05-15 Timo Knippenberg , Ashreya Jayaram , Thomas Speck , Clemens Bechinger

In this chapter we review the rich behavior of polymer chains embedded in a quenched random environment. We first consider the problem of a Gaussian chain free to move in a random potential with short-ranged correlations. We derive the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Yadin Y. Goldschmidt , Yohannes Shiferaw

Nonlinear behavior of electro-osmosis in dilute non-adsorbing polymer solutions with low salinity is investigated with Brownian dynamics simulations and a kinetic theory. In the Brownian simulations, the hydrodynamic interaction between the…

Soft Condensed Matter · Physics 2015-06-19 Yuki Uematsu

In this work, we explore the dynamics of active entangled chains using molecular dynamics simulations of a modified Kremer-Grest model. The active chains are diluted in a mesh of very long passive linear chains, to avoid constraint release…

Soft Condensed Matter · Physics 2022-11-01 Andres R. Tejedor , Raquel Carracedo , Jorge Ramírez

Anisotropic shear relaxation is an interesting but rarely discussed issue in polymer dynamics under confinement [Abberton et al., Macromolecules, 48, 7631, 2015]. According to the earlier study of bead spring simulations for an unentangled…

Soft Condensed Matter · Physics 2024-06-17 Yuichi Masubuchi

The relaxation of initially straight semiflexible polymers has been discussed mainly with respect to the longest relaxation time. The biologically relevant non-equilibrium dynamics on shorter times is comparatively poorly understood, partly…

Soft Condensed Matter · Physics 2009-02-27 B. Obermayer , W. Mobius , O. Hallatschek , E. Frey , K. Kroy

We study various dynamical properties (winding angles, areas) of a set of harmonically bound Brownian particles (monomers), one endpoint of this chain being kept fixed at the origin 0. In particular, we show that, for long times t, the…

Statistical Mechanics · Physics 2007-05-23 Olivier Benichou , Jean Desbois