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We construct a new statistical physical model of polymer translocation through a pore in a membrane treated as the diffusion process across a free energy barrier. We determine the translocation time in terms of chain flexibility yielding an…

Soft Condensed Matter · Physics 2015-06-25 W. Sung , P. J. Park

Many transport processes in nature exhibit anomalous diffusive properties with non-trivial scaling of the mean square displacement, e.g., diffusion of cells or of biomolecules inside the cell nucleus, where typically a crossover between…

Statistical Mechanics · Physics 2015-09-16 Andrea Cairoli , Adrian Baule

We propose a method for the theoretical investigation of polymer translocation through composite pore structures possessing arbitrarily specified geometries. Translocation through each constituent part of the composite is treated as being…

Soft Condensed Matter · Physics 2008-03-07 Aruna Mohan , Anatoly B. Kolomeisky , Matteo Pasquali

We investigate the dynamics of polymer translocation through a nanopore using two-dimensional Langevin dynamics simulations. In the absence of external driving force, we consider a polymer which is initially placed in the middle of the pore…

Soft Condensed Matter · Physics 2007-05-23 Ilkka Huopaniemi , Kaifu Luo , Tapio Ala-Nissila , See-Chen Ying

We suggest a governing equation which describes the process of polymer chain translocation through a narrow pore and reconciles the seemingly contradictory features of such dynamics: (i) a Gaussian probability distribution of the…

Soft Condensed Matter · Physics 2011-02-15 Johan L. A. Dubbeldam , V. G. Rostiashvili , A. Milchev , T. A. Vilgis

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

We extend the Rouse model of polymer dynamics to situations of non-stationary chain growth. For a dragged polymer chain of length $N(t) = t^\alpha$, we find two transitions in conformational dynamics. At $\alpha= 1/2$, the propagation of…

Soft Condensed Matter · Physics 2016-07-25 Ali Malek , Reiner Kree

We consider the passage of long polymers of length N through a hole in a membrane. If the process is slow, it is in principle possible to focus on the dynamics of the number of monomers s on one side of the membrane, assuming that the two…

Soft Condensed Matter · Physics 2009-11-10 Yacov Kantor , Mehran Kardar

The translocation dynamics of a polymer chain through a nanopore in the absence of an external driving force is analyzed by means of scaling arguments, fractional calculus, and computer simulations. The problem at hand is mapped on a one…

Soft Condensed Matter · Physics 2007-07-29 J. L. A. Dubbeldam , A. Milchev , V. G. Rostiashvili , T. A. Vilgis

We study the dynamics of the passage of a polymer through a membrane pore (translocation), focusing on the scaling properties with the number of monomers $N$. The natural coordinate for translocation is the number of monomers on one side of…

Soft Condensed Matter · Physics 2009-11-07 Jeffrey Chuang , Yacov Kantor , Mehran Kardar

We employ 3D Langevin Dynamics simulations to study the dynamics of polymer chains translocating through a nanopore in presence of asymmetric solvent conditions. Initially a large fraction ($>$ 50%) of the chain is placed at the…

Soft Condensed Matter · Physics 2010-06-09 Christopher Lorscher , Tapio Ala-Nissila , Aniket Bhattacharya

Long DNA molecules can be mapped by cutting them with restriction enzymes inside a narrow channel. Once cut, the individual fragments thus produced move away from each other due to diffusion and entropic effects. We investigate how long it…

Soft Condensed Matter · Physics 2025-06-11 Hanyang. Wang , Gary W Slater

While the dynamics of polymer chains in equilibrium media is well understood by now, the polymer dynamics in active non-equilibrium environments can be very different. Here we study the dynamics of polymers in a viscous medium containing…

Soft Condensed Matter · Physics 2017-06-23 Jaeoh Shin , Andrey G. Cherstvy , Won Kyu Kim , Vasily Zaburdaev

Biomolecular folding, at least in simple systems, can be described as a two state transition in a free energy landscape with two deep wells separated by a high barrier. Transition paths are the short part of the trajectories that cross the…

Statistical Mechanics · Physics 2018-12-10 M. Laleman , E. Carlon , H. Orland

Polymer translocation across a corrugated channel is a paradigmatic stochastic process encountered in diverse systems. The instance of time when a polymer first arrives to some prescribed location defines an important characteristic time…

Soft Condensed Matter · Physics 2019-01-30 Paolo Malgaretti , Gleb Oshanin

By analyzing the real space nonequilibrium dynamics of polymers, we elucidate the physics of driven translocation and propose its dynamical scaling scenario analogous to that in the surface growth phenomena. We provide a detailed account of…

Soft Condensed Matter · Physics 2011-11-28 Takuya Saito , Takahiro Sakaue

We consider the drift of a polymer chain in a disordered medium, which is caused by a constant force applied to the one end of the polymer, under neglecting the thermal fluctuations. In the lowest order of the perturbation theory we have…

Soft Condensed Matter · Physics 2009-10-31 Semjon Stepanow , Michael Schulz

We review recent progress on the theory of dynamics of polymer translocation through a nanopore based on the iso-flux tension propagation (IFTP) theory. We investigate both pore-driven translocation of flexible and a semi-flexible polymers,…

Soft Condensed Matter · Physics 2018-10-16 Jalal Sarabadani , Tapio Ala-Nissila

We study strain-controlled plastic deformation of crystalline solids via two-dimensional discrete dislocation dynamics simulations. To this end, we characterize the average stress-strain curves as well as the statistical properties of…

Materials Science · Physics 2021-09-01 David Kurunczi-Papp , Lasse Laurson

We use nonequilibrium molecular dynamics simulations to verify recent tube-model predictions that associative polymer networks exhibit broad stretch fluctuations during elongational flow. Simulations further show that these fluctuating…

Soft Condensed Matter · Physics 2025-04-11 Songyue Liu , Thomas C. O'Connor