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We analyze the dynamics of a tracer particle embedded in a bath of hard spheres confined in a channel of varying section. By means of Brownian dynamics simulations we apply a constant force on the tracer particle and discuss the dependence…

Soft Condensed Matter · Physics 2018-11-14 Antonio M. Puertas , Paolo Malgaretti , Ignacio Pagonabarraga

The general problem of tracer diffusion in non-equilibrium baths is important in a wide range of systems, from the cellular level to geographical lengthscales. In this paper, we revisit the archetypical example of such a system: a…

Soft Condensed Matter · Physics 2023-11-08 Henrik Nordanger , Alexander Morozov , Joakim Stenhammar

Motivated by subdiffusive motion of bio-molecules observed in living cells we study the stochastic properties of a non-Brownian particle whose motion is governed by either fractional Brownian motion or the fractional Langevin equation and…

Statistical Mechanics · Physics 2016-09-08 Jae-Hyung Jeon , Ralf Metzler

It was previously believed that diffusion of a tracer particle in a viscoelastic material should be of the fractional Brownian motion (fBm) type. This is due to the long-term memory in the response of such materials to mechanical…

Soft Condensed Matter · Physics 2024-06-19 Maayan Levin , Golan Bel , Yael Roichman

We investigate the effect of filament-obstacle interactions on the force-velocity relation of growing biopolymers, via calculations explicitly treating obstacle diffusion and stochastic addition and subtraction of subunits. We first show…

Biological Physics · Physics 2018-12-04 F. Motahari , A. E. Carlsson

Motivated by a biased diffusion of molecular motors with the bias dependent on the state of the substrate, we investigate a random walk on a one-dimensional lattice that contains weak links (called "bridges'') which are affected by the…

Statistical Mechanics · Physics 2007-05-23 T. Antal , P. L. Krapivsky

We propose a generalization of the stochastic resetting mechanism for a Brownian particle diffusing in a one-dimensional periodic potential: randomly in time, the particle gets reset at the bottom of the potential well it was in. Numerical…

Statistical Mechanics · Physics 2025-08-18 Pulak K. Ghosh , Shubhadip Nayak , Jianli Liu , Yunyun Li , Fabio Marchesoni

Aim of this note is to analyse branching Brownian motion within the class of models introduced in the recent paper [4] and called chemical diffusion master equations. These models provide a description for the probabilistic evolution of…

Probability · Mathematics 2024-01-23 Alberto Lanconelli , Berk Tan Perçin

Nonergodicity observed in single-particle tracking experiments is usually modeled by transient trapping rather than spatial disorder. We introduce models of a particle diffusing in a medium consisting of regions with random sizes and random…

Soft Condensed Matter · Physics 2014-09-23 P. Massignan , C. Manzo , J. A. Torreno-Pina , M. F. García-Parajo , M. Lewenstein , G. J. Lapeyre

We study the flashing ratchet model of a Brownian motor, which consists in cyclical switching between the Fokker-Planck equation with an asymmetric ratchet-like potential and the pure diffusion equation. We show that the motor really…

Analysis of PDEs · Mathematics 2012-01-13 Dmitry Vorotnikov

The study of Brownian ratchets has taught how time-periodic driving supports a time-periodic steady state that generates nonequilibrium transport. When a single particle is transported in one dimension, it is possible to rationalize the…

Statistical Mechanics · Physics 2022-06-22 Nils E. Strand , Hadrien Vroylandt , Todd R. Gingrich

Brownian motion in a granular gas in a homogeneous cooling state is studied theoretically and by means of molecular dynamics. We use the simplest first-principle model for the impact-velocity dependent restitution coefficient, as it follows…

Statistical Mechanics · Physics 2015-06-11 Anna Bodrova , Awadhesh Kumar Dubey , Sanjay Puri , Nikolai Brilliantov

Nanochannels provide means for detailed experiments on the effect of confinement on biomacromolecules, such as DNA. We here introduce a model for the complete unfolding of DNA from the circular to linear configuration. Two main ingredients…

Brownian dynamics (BD) simulations are used to study the translocation dynamics of a coarse-grained polymer through a cylindrical nanopore. We consider the case of short polymers, with a polymer length, N, in the range N=21-61. The rate of…

Soft Condensed Matter · Physics 2015-06-18 James M. Polson , Taylor Dunn

Polymer translocation through a nanopore in a membrane investigated theoretically. Recent experiments on voltage-driven DNA and RNA translocations through a nanopore indicate that the size and geometry of the pore are important factors in…

Statistical Mechanics · Physics 2009-11-07 Elena Slonkina , Anatoly B. Kolomeisky

Experimental methods based on single particle tracking (SPT) are being increasingly employed in the physical and biological sciences, where nanoscale objects are visualized with high temporal and spatial resolution. SPT can probe…

Statistical Mechanics · Physics 2015-06-12 Denis Boyer , David S. Dean , Carlos Mejía-Monasterio , Gleb Oshanin

The threading of a polymer chain through a small pore is a classic problem in polymer dynamics and underlies nanopore sensing technology. However important experimental aspects of the polymer motion in a solid-state nanopore, such as an…

Biological Physics · Physics 2016-07-18 Nicholas A. W. Bell , Ulrich F. Keyser

We introduce a probabilistic model for protein sliding motion along DNA during the search of a target sequence. The model accounts for possible effects due to sequence-dependent interaction between the nonspecific DNA and the protein. As an…

Biological Physics · Physics 2007-05-23 Maria Barbi , Christophe Place , Vladislav Popkov , Mario Salerno

We study the Brownian motion of an assembly of mobile inclusions embedded in a fluid membrane. The motion includes the dispersal of the assembly, accompanied by the diffusion of its center of mass. Usually, the former process is much faster…

Biological Physics · Physics 2021-05-25 Benjamin Sorkin , Haim Diamant

The mechanical model based on beads and springs, which we recently proposed to study non-specific DNA-protein interactions [J. Chem. Phys. 130, 015103 (2009)], was improved by describing proteins as sets of interconnected beads instead of…

Biological Physics · Physics 2009-10-29 Ana-Maria Florescu , Marc Joyeux
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