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We study pore blockade times for a translocating polymer of length $N$, driven by a field $E$ across the pore in three dimensions. The polymer performs Rouse dynamics, i.e., we consider polymer dynamics in the absence of hydrodynamical…

Soft Condensed Matter · Physics 2008-02-15 Henk Vocks , Debabrata Panja , Gerard T. Barkema , Robin C. Ball

We present results from our simulations of biopolymer translocation in a solvent which explain the main experimental findings. The forced translocation can be described by simple force balance arguments for the relevant range of pore…

Biological Physics · Physics 2009-05-08 V. V. Lehtola , R. P. Linna , K. Kaski

We study the translocation process of a polymer in the absence of external fields for various pore diameters $b$ and membrane thickness $L$. The polymer performs Rouse and reptation dynamics. The mean translocation time $<\tau_t>$ that the…

Soft Condensed Matter · Physics 2007-05-23 Joanne Klein Wolterink , Gerard T. Barkema , Debabrata Panja

We investigate the dynamics of a particle moving randomly along a disordered hetero-polymer subjected to rapid conformational changes which induce superdiffusive motion in chemical coordinates. We study the antagonistic interplay between…

Statistical Mechanics · Physics 2009-11-10 D. Brockmann , T. Geisel

We investigate several scaling properties of a translocating homopolymer through a thin pore driven by an external field present inside the pore only using Langevin Dynamics (LD) simulation in three dimension (3D). Specifically motivated by…

We consider the propagation of a single particle in a random chain, assisted by the coupling to dispersive bosons. Time evolution treated with rate equations for hopping between localized states reveals a qualitative difference between…

Strongly Correlated Electrons · Physics 2018-10-04 P. Prelovsek , J. Bonca , M. Mierzejewski

In this paper we consider a diffusion process obtained as a small random perturbation of a dynamical system attracted to a stable equilibrium point. The drift and the diffusive perturbation are assumed to evolve slowly in time. We describe…

Probability · Mathematics 2016-10-23 Mark Freidlin , Leonid Koralov

Molecular motion through pores plays a crucial role in various natural and industrial processes. One of the most fascinating features of biological channel-facilitated transport is a stochastic gating process, when the channels dynamically…

Chemical Physics · Physics 2018-12-20 Aram Davtyan , Anatoly B. Kolomeisky

Of stochastic differential equations, diffusion processes have been adopted in numerous applications, as more relevant and flexible models. This paper studies diffusion processes in a different setting, where for a given stationary…

Probability · Mathematics 2024-12-31 Saber Jafarizadeh

How finite-sized material lines stretch in chaotic (mono-scale) and turbulent (multi-scale) flows remains a central but unresolved problem that governs mixing, transport and reaction. We show elongation is controlled by a finite-sampling…

Fluid Dynamics · Physics 2026-04-21 Daniel Lester , Marco Dentz

We study the stochastic motion of active particles that undergo spontaneous transitions between two distinct modes of motion. Each mode is characterized by a velocity distribution and an arbitrary (anti-)persistence. We present an…

Statistical Mechanics · Physics 2023-07-07 M. Reza Shaebani , Heiko Rieger , Zeinab Sadjadi

Most of the theoretical models describing the translocation of a polymer chain through a nanopore use the hypothesis that the polymer is always relaxed during the complete process. In other words, models generally assume that the…

Biomolecules · Quantitative Biology 2009-11-13 Michel G. Gauthier , Gary W. Slater

The translocation of a polymer through a pore in a membrane separating fluids of different viscosities is studied via several computational approaches. Starting with the polymer halfway, we find that as a viscosity difference across the…

Soft Condensed Matter · Physics 2013-04-17 Hendrick W. de Haan , Gary W. Slater

The interaction of polymers with small-scale velocity gradients can trigger a coil-stretch transition in the polymers. We analyze this transition within a direct numerical simulation of shear turbulence with an Oldroyd-B model for the…

Chaotic Dynamics · Physics 2009-11-07 Bruno Eckhardt , Jochen Kronjaeger , Joerg Schumacher

Transport of tracer particles through mesh-like environments such as biological hydrogels and polymer matrices is ubiquitous in nature. These tracers could be passive, such as colloids or active (self-propelled), such as synthetic…

Soft Condensed Matter · Physics 2022-12-08 Praveen Kumar , Rajarshi Chakrabarti

Two dimensional stochastic time model of scrape-off layer (SOL) turbulent transport is studied. Instability arisen in the system with respect to the stochastic perturbations of both either density or vorticity reveals itself in the strong…

Plasma Physics · Physics 2009-11-10 D. Volchenkov , R. Lima

We consider a polymer of length $N$ translocating through a narrow pore in the absence of external fields. Characterization of its purportedly anomalous dynamics has so far remained incomplete. We show that the polymer dynamics is anomalous…

Soft Condensed Matter · Physics 2007-10-08 Debabrata Panja , Gerard T. Barkema , Robin C. Ball

We study the diffusion of a linear polymer in the presence of permeable membranes without excluded volume interactions, using scaling theory and Monte Carlo simulations. We find that the average time it takes for a chain with polymerization…

Condensed Matter · Physics 2016-08-31 Hyoungsoo Yoon , J. M. Deutsch

We study the dynamics of the passage of a stiff chain through a pore into a cell containing particles that bind reversibly to it. Using Brownian Molecular Dynamics simulations we investigate the mean-first-passage time as a function of the…

Soft Condensed Matter · Physics 2009-11-10 Roya Zandi , David Reguera , Joseph Rudnick , William M. Gelbart

Two phase picture is a simple and effective methodology to capture the nonequilibrium dynamics of polymer associated with tension propagation. When applying it to the driven translocation process, there is a point to be noted, as briefly…

Soft Condensed Matter · Physics 2012-11-26 Takuya Saito , Takahiro Sakaue