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We study the behaviour of a Brownian particle in the overdamped regime in the presence of a harmonic potential, assuming its diffusion coefficient to randomly jump between two distinct values. In particular, we characterize the probability…

The transport of independent active Brownian particles within a two-dimensional narrow channel, modeled as an open-wedge, is studied both numerically and theoretically. We show that the active force tends to localize the particles near the…

Statistical Mechanics · Physics 2019-05-01 Lorenzo Caprini , Fabio Cecconi , Umberto Marini Bettolo Marconi

The Brownian motion of a particle in a harmonic potential, which is simultaneously exposed either to a linear shear flow or to a plane Poiseuille flow is investigated. In the shear plane of both flows the probability distribution of the…

Fluid Dynamics · Physics 2010-04-22 Lukas Holzer , Jochen Bammert , Roland Rzehak , Walter Zimmermann

We study the dynamics of interacting lattice fermions with random hopping amplitudes and random static potentials, in presence of time-dependent electromagnetic fields. The interparticle interaction is short-range and translation invariant.…

Mathematical Physics · Physics 2017-03-08 J. -B. Bru , W. de Siqueira Pedra

We consider active Brownian particles that intermittently switch between active and inactive states. Such behavior is ubiquitous at all scales, from bacteria to animals and in artificial active systems. We derive exact expressions for key…

Statistical Mechanics · Physics 2025-09-24 Fernando Peruani , Debasish Chaudhuri

We study a system of interacting particles in a periodically moving external potential, within the simplest possible description of paradigmatic symmetric exclusion process on a ring. The model describes diffusion of hardcore particles…

Statistical Mechanics · Physics 2014-04-17 Rakesh Chatterjee , Sakuntala Chatterjee , Punyabrata Pradhan , S. S. Manna

We study stochastic particle transport between two reservoirs along a channel, where the particles are pumped against a bias by a traveling wave potential. It is shown that phase transitions of period-averaged densities or currents occur…

Statistical Mechanics · Physics 2018-07-03 Marcel Dierl , Wolfgang Dieterich , Mario Einax , Philipp Maass

We study asymptotic properties of the system of interacting diffusion particles on the real line which transfer a mass [arXiv:1408.0628]. The system is a natural generalization of the coalescing Brownian motions. The main difference is that…

Probability · Mathematics 2017-02-21 Vitalii Konarovskyi

The rectification of a single file of attracting particles subjected to a low frequency ac drive is proposed as a working mechanism for particle shuttling in an asymmetric narrow channel. Increasing the particle attraction results in the…

Statistical Mechanics · Physics 2011-03-17 Andrey Pototsky , Andrew J. Archer , Michael Bestehorn , Domnic Merkt , Sergey Savel'ev , Fabio Marchesoni

We investigate analytically a microfluidic device consisting of a tube with non-uniform but spatially periodic diameter, where a fluid driven back and forth by a pump carries colloidal particles. Although the net flow of the fluid is zero,…

Soft Condensed Matter · Physics 2017-07-11 Frantisek Slanina

The transport of a walker in rocking feedback-controlled ratchets are investigated. The walker consists of two coupled "feet" that allow the interchange of the order of the particles while the walker moves. In the underdamped case, the…

Statistical Mechanics · Physics 2017-02-09 Tianfu Gao , Zhigang Zheng , Jincan Chen

We investigate both experimentally and theoretically the traffic of particles flowing in microfluidic obstacle networks. We show that the traffic dynamics is a non-linear process: the particle current does not scale with the particle…

Statistical Mechanics · Physics 2015-05-19 Nicolas Champagne , Romain Vasseur , Adrien Montourcy , Denis Bartolo

We study the behaviour of two Brownian particles coupled by an elastic harmonic force in a quenched disordered medium. We found that to first order in disorder strength, the relative motion weakens (with respect to the reference state of a…

Statistical Mechanics · Physics 2009-11-07 M. Schulz , S. Stepanow , S. Trimper

Although the dynamics of colloids in the vicinity of a solid interface has been widely characterized in the past, experimental studies of Brownian diffusion close to an air-water interface are rare and limited to particle-interface gap…

Soft Condensed Matter · Physics 2022-11-11 Stefano Villa , Christophe Blanc , Abdallah Daddi-Moussa-Ider , Antonio Stocco , Maurizio Nobili

Employing large deviation theory, we explore current fluctuations of underdamped Brownian motion for the paradigmatic example of a single particle in a one dimensional periodic potential. Two different approaches to the large deviation…

Statistical Mechanics · Physics 2018-03-12 Lukas P. Fischer , Patrick Pietzonka , Udo Seifert

The present paper is devoted to the study of a simple model of interacting electrons in a random background. In a large interval $\Lambda$, we consider $n$ one dimensional particles whose evolution is driven by the Luttinger-Sy model, i.e.,…

Mathematical Physics · Physics 2014-08-26 Frédéric Klopp , Nikolaj Veniaminov

We investigate the overdamped dynamics of a `passive' particle driven by nonreciprocal interaction with a `driver' Brownian particle. When the interaction between them is short-ranged, the long-time behavior of the driven particle is…

Statistical Mechanics · Physics 2024-12-24 Urna Basu , P. L. Krapivsky , Satya N. Majumdar

In this paper we consider an interacting particle system modeled as a system of $N$ stochastic differential equations driven by Brownian motions with a drift term including a confining potential acting on each particle, and an interaction…

Probability · Mathematics 2007-05-23 Matteo Ortisi

We study analytically and numerically the overdamped, deterministic dynamics of a chain of {\it charged}, interacting particles driven by a longitudinal alternating electric field and additionally interacting with a smooth ratchet…

Soft Condensed Matter · Physics 2016-08-16 S. I. Denisov , E. S. Denisova , P. Hänggi

We consider the motion of a Brownian particle in $\mathbb{R}$, moving between a particle fixed at the origin and another moving deterministically away at slow speed $\epsilon>0$. The middle particle interacts with its neighbours via a…

Probability · Mathematics 2008-07-04 Michael Allman , Volker Betz
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