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Propagation of chaos for interacting particle systems has been an active research topic over decades. We propose an alternative approach to study the mean-field limit of the stochastic interacting particle systems via tools from information…

Probability · Mathematics 2025-01-07 Lei Li , Yuelin Wang , Yuliang Wang

We consider the dynamics of a translocation process of a flexible linear polymer through a nanopore into an environment of active rods in the {\it trans} side. Using Langevin dynamics simulations we find that the rods facilitate…

Soft Condensed Matter · Physics 2022-11-15 Hamidreza Khalilian , Jalal Sarabadani , Tapio Ala-Nissila

The motion of active polymers in a porous medium is shown to depend critically on flexibilty, activity and degree of polymerization. For given Peclet number, we observe a transition from localisation to diffusion as the stiffness of the…

Soft Condensed Matter · Physics 2019-07-17 Zahra Mokhtari , Annette Zippelius

We study the translocation of a flexible polymer through a pore in a membrane induced by its adsorption on \trans side of the membrane. When temperature $T$ is higher than $T_c$, the adsorption-desorption transition temperature, attractive…

Soft Condensed Matter · Physics 2009-10-31 Pyeong Jun Park , Wokyung Sung

We study particle transport in a class of open channels of finite length, made of identical cells of connected open polygonal billiards with parallel boundaries. In these systems the Mean Square Displacement (MSD) grows in time faster than…

Statistical Mechanics · Physics 2025-03-20 Luisana Claudio-Pachecano , Hernán Larralde , Carlos Mejía-Monasterio

We present a numerical study of forced polymer translocation by using two separate pore models. Both of them have been extensively used in previous forced translocation studies. We show that variations in the pore model affect the forced…

Biological Physics · Physics 2015-05-19 V. V. Lehtola , K. Kaski , R. P. Linna

We theoretically study the transport properties of self-propelled particles on complex structures, such as motor proteins on filament networks. A general master equation formalism is developed to investigate the persistent motion of…

Soft Condensed Matter · Physics 2014-09-19 M. Reza Shaebani , Zeinab Sadjadi , Igor M. Sokolov , Heiko Rieger , Ludger Santen

We present a unified theory for the longitudinal dynamic response of a stiff polymer in solution to various external perturbations (mechanical excitations, hydrodynamic flows, electrical fields, temperature quenches ...) that can be…

Soft Condensed Matter · Physics 2007-05-23 Oskar Hallatschek , Erwin Frey , Klaus Kroy

We investigate polymer translocation through a nanopore under a pulling force using Langevin dynamics simulations. We concentrate on the influence of the chain length $N$ and the pulling force $F$ on the translocation time $\tau$. The…

Soft Condensed Matter · Physics 2007-06-27 Ilkka Huopaniemi , Kaifu luo , Tapio Ala-Nissila , See-Chen Ying

This article focuses on a preaveraging description of polymer nonequilibrium stretching, where a single polymer undergoes a transient process from equilibrium to nonequilibrium steady state by pulling one chain end. The preaveraging method…

Soft Condensed Matter · Physics 2022-01-12 Takuya Saito

Within the broad theme of understanding the dynamics of disordered quantum many-body systems, one of the simplest questions one can ask is: given an initial state, how does it evolve in time on the associated Fock-space graph, in terms of…

Disordered Systems and Neural Networks · Physics 2023-04-12 Isabel Creed , David E. Logan , Sthitadhi Roy

We consider the escape of a flexible, self-avoiding polymer chain out of a confined geometry. By means of simulations, we demonstrate that the translocation time can be described by a simple scaling law that exhibits a nonlinear dependence…

Soft Condensed Matter · Physics 2009-11-11 Angelo Cacciuto , Erik Luijten

The motion of polymers with inhomogeneous structure through nanopores is discussed theoretically. Specifically, we consider the translocation dynamics of polymers consisting of double-stranded and single-stranded blocks. Since only the…

Statistical Mechanics · Physics 2009-11-11 Stanislav Kotsev , Anatoly B. Kolomeisky

We computationally investigate the active transport of tangentially-driven polymers with varying degrees of flexibility and activity in two-dimensional square lattices of obstacles. Tight periodic confinement induces notable conformational…

Soft Condensed Matter · Physics 2023-10-04 Mohammad Fazelzadeh , Ehsan Irani , Zahra Mokhtari , Sara Jabbari-Farouji

We explore the dynamics of a tracer in an active particle harmonic chain, investigating the influence of interactions. Our analysis involves calculating mean-squared displacements (MSD) and space-time correlations through Green's function…

Statistical Mechanics · Physics 2026-04-07 Subhajit Paul , Abhishek Dhar , Debasish Chaudhuri

We study the arrival time distribution of overdamped particles driven by a constant force in a piecewise linear random potential which generates the dichotomous random force. Our approach is based on the path integral representation of the…

Statistical Mechanics · Physics 2007-09-06 S. I. Denisov , M. Kostur , E. S. Denisova , P. Hänggi

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

We study the driven translocation of polymers under time-dependent driving forces using $N$-particle Langevin dynamics simulations. We consider the force to be either sinusoidally oscillating in time or dichotomic noise with exponential…

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

Recently it has been shown that when an equation that allows so-called pulled fronts in the mean-field limit is modelled with a stochastic model with a finite number $N$ of particles per correlation volume, the convergence to the speed…

Statistical Mechanics · Physics 2009-11-07 Debabrata Panja , Wim van Saarloos

The theoretical formulation of driven polymer translocation through nanopores is complicated by the combination of the pore electrohydrodynamics and the nonequilibrium polymer dynamics originating from the conformational polymer…

Soft Condensed Matter · Physics 2019-01-15 Sahin Buyukdagli , Jalal Sarabadani , Tapio Ala-Nissila
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