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We investigate the translocation dynamics of a folded linear polymer which is pulled through a nanopore by an external force. To this end, we generalize the iso-flux tension propagation (IFTP) theory for end-pulled polymer translocation to…

Soft Condensed Matter · Physics 2019-12-18 Bappa Ghosh , Jalal Sarabadani , Srabanti Chaudhury , Tapio Ala-Nissila

We study the thermodynamics of an exactly solvable model of a self-interacting partially directed self-avoiding walk (DSAW) in two dimensions, when a force is applied on one end of the chain. The critical force for the unfolding is…

Statistical Mechanics · Physics 2009-11-10 A. Rosa , D. Marenduzzo , A. Maritan , F. Seno

The longitudinal response of single semiflexible polymers to sudden changes in externally applied forces is known to be controlled by the propagation and relaxation of backbone tension. Under many experimental circumstances, realized, e.g.,…

Soft Condensed Matter · Physics 2011-02-25 Florian Thüroff , Benedikt Obermayer , Erwin Frey

Analytical treatments of polymer dynamics have mostly been restricted to linear response theory around some steady state obtained via perturbative field theory. Here, I derive an analytical framework that yields unified access to the…

Soft Condensed Matter · Physics 2026-04-03 Andriy Goychuk

The dynamics of polymer-nanoparticle (NP) mixtures, which involves multiple scales and system-specific variables, has posed a long-standing challenge on its theoretical description. In this paper, we construct a microscopic theory for…

Soft Condensed Matter · Physics 2021-06-15 Bokai Zhang , Jian Li , Juan-mei Hu , Lei Liu

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

Stochastic thermodynamics is a developing theory for systems out of thermal equilibrium. It allows to formulate a wealth of nontrivial relations among thermodynamic quantities such as heat dissipation, excess work, and entropy production in…

Statistical Mechanics · Physics 2026-02-24 Benjamin Sorkin , Gil Ariel , Tomer Markovich

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

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

A novel combination of discontinuous molecular dynamics and the Langevin equation, together with an intermediate-resolution model, are used to carry out long (several $\mu$s) simulation and study folding transition and transport of proteins…

Soft Condensed Matter · Physics 2011-11-09 Leili Javidpour , Muhammad Sahimi , M. Reza Rahimi Tabar

We investigate the crystallization of a single, flexible homopolymer chain using transition path sampling (TPS). The chain consists of N identical spherical monomers evolved according to Langevin dynamics. While neighboring monomers are…

Soft Condensed Matter · Physics 2016-08-17 Christian Leitold , Christoph Dellago

The non-Markovian nature of polymer motions is accounted for in folding kinetics, using frequency-dependent friction. Folding, like many other problems in the physics of disordered systems, involves barrier crossing on a correlated energy…

Statistical Mechanics · Physics 2009-10-30 Steven S. Plotkin , Peter G. Wolynes

We study the dynamics of driven polymer translocation using both molecular dynamics (MD) simulations and a theoretical model based on the non-equilibrium tension propagation on the {\it cis} side subchain. We present theoretical and…

Soft Condensed Matter · Physics 2015-06-12 Timo Ikonen , Aniket Bhattacharya , Tapio Ala-Nissila , Wokyung Sung

We study the propagation of tension caused by an external force along a long polymeric molecule in two different settings, namely along a free polymer in 3d space being pulled from one end, and along a pre-stretched circular polymer,…

Soft Condensed Matter · Physics 2013-06-20 Payam Rowghanian , Alexander Y. Grosberg

We present a Brownian dynamics model of driven polymer translocation, in which non-equilibrium memory effects arising from tension propagation (TP) along the cis side subchain are incorporated as a time-dependent friction. To solve the…

Soft Condensed Matter · Physics 2015-06-03 Timo Ikonen , Aniket Bhattacharya , Tapio Ala-Nissila , Wokyung Sung

In the framework of the problem of finding proper reaction coordinates (RCs) for complex systems and their effective evolution equations, we consider the case study of a polymer chain in an external double-well potential, experiencing…

Statistical Mechanics · Physics 2020-01-29 Marco Baldovin , Fabio Cecconi , Angelo Vulpiani

The Langevin dynamics of a random heteropolymer and its dynamic glass transition are studied using elementary mode coupling theory. Contrary to recent reports using a similar framework, a discontinuous ergodic-nonergodic phase transition is…

Statistical Mechanics · Physics 2009-10-30 Shoji Takada , John J. Portman , Peter G. Wolynes

The relaxation dynamics of a polymer wound around a fixed obstacle constitutes a fundamental instance of polymer with twist and torque and it is of relevance also for DNA denaturation dynamics. We investigate it by simulations and Langevin…

Soft Condensed Matter · Physics 2015-06-12 Jean-Charles Walter , Marco Baiesi , Gerard Barkema , Enrico Carlon

Dimerization and subsequent aggregation of polymers and biopolymers often occur under nonequilibrium conditions. When the initial state of the polymer is not collapsed or the final folded native state, the dynamics of dimerization can…

Soft Condensed Matter · Physics 2024-11-19 Sangita Mondal , Ved Mahajan , Biman Bagchi

Iso-flux tension propagation (IFTP) theory and Langevin dynamics (LD) simulations are employed to study the dynamics of channel-driven polymer translocation in which a polymer translocates into a narrow channel and the monomers in the…

Soft Condensed Matter · Physics 2022-05-16 Jalal Sarabadani , Ralf Metzler , Tapio Ala-Nissila