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Active matter deals with systems whose particles consume energy at the individual level in order to move. To unravel features such as the emergence of collective structures several models have been suggested, such as the on-lattice model of…

We study the dynamics of overdamped Brownian particles interacting through soft pairwise potentials on a comb-like structure. Within the linearized Dean-Kawasaki framework, we characterize the particle density fluctuations by computing…

Statistical Mechanics · Physics 2025-05-21 Davide Venturelli , Pierre Illien , Aurélien Grabsch , Olivier Bénichou

Single-file transport in pore-like structures constitute an important topic for both theory and experiment. For hardcore interacting particles, a good understanding of the collective dynamics has been achieved recently. Here we study how…

Statistical Mechanics · Physics 2021-12-28 Alexander P. Antonov , Artem Ryabov , Philipp Maass

We show how the tracer motion of tagged, distinguishable particles can effectively describe transport in various homogeneous quantum many-body systems with constraints. We consider systems of spinful particles on a one-dimensional lattice…

Strongly Correlated Electrons · Physics 2022-10-20 Johannes Feldmeier , William Witczak-Krempa , Michael Knap

We consider a gas of point particles moving in a one-dimensional channel with a hard-core inter-particle interaction that prevents particle crossings --- this is called single-file motion. Starting from equilibrium initial conditions we…

Statistical Mechanics · Physics 2016-11-15 Chaitra Hegde , Sanjib Sabhapandit , Abhishek Dhar

The dynamics of a driven tracer in a quiescent bath subject to geometric confinement effectively models a broad range of phenomena. We explore this dynamics in a 1D lattice model where geometric confinement is tuned by varying particle…

Statistical Mechanics · Physics 2021-02-03 Asaf Miron , David Mukamel

The effect of particle overtaking on transport in a narrow channel is studied using a 1d model of a driven tracer in a quiescent bath. In contrast with the well-studied non-driven case, where the tracer's long-time dynamics changes from…

Statistical Mechanics · Physics 2020-06-30 Asaf Miron , David Mukamel , Harald A. Posch

Diffusive transport of particles or, more generally, small objects is a ubiquitous feature of physical and chemical reaction systems. In configurations containing confining walls or constrictions transport is controlled both by the…

Statistical Mechanics · Physics 2009-01-22 P. Sekhar Burada , Peter Hanggi , Fabio Marchesoni , Gerhard Schmid , Peter Talkner

Single-file diffusion is a theoretically challenging many-body problem where the calculation of even the simplest observables, e.g. mean square displacement, for a tracer particle requires a heavy mathematical machinery. There is therefore…

Statistical Mechanics · Physics 2015-06-15 Ludvig Lizana , Michael A. Lomholt , Tobias Ambjörnsson

The collective motion of interacting self-driven particles describes many types of coordinated dynamics and self-organisation. Prominent examples are alignment or lane formation which can be observed alongside other ordered structures and…

Adaptation and Self-Organizing Systems · Physics 2022-02-24 Basma Khelfa , Raphael Korbmacher , Andreas Schadschneider , Antoine Tordeux

We study the position of a biased tracer particle (TP) in a bath of hardcore particles moving on a lattice of arbitrary dimension and in contact with a reservoir. Starting from the master equation satisfied by the joint probability of the…

Statistical Mechanics · Physics 2015-12-09 Pierre Illien , Olivier Bénichou , Gleb Oshanin , Raphaël Voituriez

Single-file transport, arising in quasi one-dimensional geometries where particles cannot pass each other, is characterized by the anomalous dynamics of a probe, notably its response to an external force. In these systems, the motion of…

Statistical Mechanics · Physics 2018-03-29 Olivier Bénichou , Vincent Démery , Alexis Poncet

We study the appearance of large-scale dynamical heterogeneities in a simplified model of a driven, dissipative granular system. Simulations of steady-state gravity-driven flows of inelastically colliding hard disks show the formation of…

Soft Condensed Matter · Physics 2009-11-11 Allison Ferguson , Bulbul Chakraborty

Using an analytically tractable lattice model for reaction-diffusion processes of hard-core particles we demonstrate that under nonequilibrium conditions phase coexistence may arise even if the system is effectively one-dimensional as e.g.…

Statistical Mechanics · Physics 2007-05-23 Fatemeh Tabatabaei , Gunter M. Schütz

We consider a gas of point particles moving on the one-dimensional line with a hard-core inter-particle interaction that prevents particle crossings --- this is usually referred to as single-file motion. The individual particle dynamics can…

Statistical Mechanics · Physics 2016-11-15 Sanjib Sabhapandit , Abhishek Dhar

The flow of deformable particles, such as droplets, dragged by a fluid, through a network of narrow pores inside rocks or other porous media is key in a range of applications, from enhanced oil recovery and water filtration to lab on a chip…

We study a driven system in which interaction between particles causes their directional, coupled movement. In that model system, two particles move alternatingly in time on two coupled chains. Without interaction, both particles diffuse…

Computational Physics · Physics 2023-08-10 Helena Drüeke , Dieter Bauer

Driven lattice gases serve as canonical models for investigating collective transport phenomena and properties of non-equilibrium steady states (NESS). Here we study one-dimensional transport with nearest-neighbor interactions both in…

Statistical Mechanics · Physics 2013-08-13 Marcel Dierl , Mario Einax , Philipp Maass

Active particles may happen to be confined in channels so narrow that they cannot overtake each other (Single File conditions). This interesting situation reveals nontrivial physical features as a consequence of the strong inter-particle…

Statistical Mechanics · Physics 2015-06-19 Emanuele Locatelli , Fulvio Baldovin , Enzo Orlandini , Matteo Pierno

We study the Single File Diffusion (SFD) of a cyclic chain of particles that cannot cross each other, in a thermal bath, with long ranged interactions, and arbitrary damping. We present simulations that exhibit new behaviors specifically…

Statistical Mechanics · Physics 2015-05-27 Jean-Baptiste Delfau , Christophe Coste , Michel Saint-Jean