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We examined the lane formation dynamics of oppositely self-driven binary particles by molecular dynamics simulations of a two-dimensional system. Our study comprehensively revealed the effects of the density and system size on the lane…

Soft Condensed Matter · Physics 2017-03-23 Kosuke Ikeda , Kang Kim

A binary system of particles that move in opposite directions under an applied field can exhibit disordered states as well as laned states where the particles organize into oppositely moving high-mobility lanes to reduce collisions.…

Soft Condensed Matter · Physics 2025-10-21 C. Reichhardt , C. J. O. Reichhardt

Colloidal particles of two types, driven in opposite directions, can segregate into lanes [Vissers et al. Soft Matter 7, 2352 (2011)]. This phenomenon can be reproduced by two-dimensional Brownian dynamics simulations of model particles…

Statistical Mechanics · Physics 2016-08-31 Katherine Klymko , Phillip L. Geissler , Stephen Whitelam

We consider a binary system of particles with repulsive interactions that move in opposite or perpendicular directions to each other under an applied external drive. For opposite driving, at higher drives a phase-separated laned state forms…

Statistical Mechanics · Physics 2025-12-17 C. Reichhardt , C. J. O. Reichhardt

Using extensive particle-based simulations, we investigate out-of-equilibrium pattern dynamics in an oppositely driven binary particle system in two dimensions. A surprisingly rich dynamical behavior including lane formation, jamming,…

Soft Condensed Matter · Physics 2015-06-05 Masahiro Ikeda , Hirofumi Wada , Hisao Hayakawa

We investigate non-equilibrium lane formation in a generic model of a fluid with attractive interactions, that is, a two-dimensional Lennard-Jones (LJ) fluid composed of two particle species driven in opposite directions. Performing…

Soft Condensed Matter · Physics 2016-11-11 C. W. Wächtler , F. Kogler , S. H. L. Klapp

Binary mixtures of oppositely charged colloids driven by an electric field are shown to exhibit a nonequilibrium transition towards lane formation if the driving force is increased. Brownian dynamics computer simulations and real-space…

Soft Condensed Matter · Physics 2008-12-05 Martin Rex , C. Patrick Royall , Alfons van Blaaderen , Hartmut Löwen

We study three different lattice models in which two species of diffusing particles are driven in opposite directions by an electric field. We focus on dynamical phase transitions that involve phase separation into domains that may be…

Statistical Mechanics · Physics 2022-09-15 Honghao Yu , Kristian Thijssen , Robert L. Jack

We consider mixtures of oppositely driven particles, showing that their non-equilibrium steady states form lanes parallel to the drive, which coexist with transient jammed clusters where particles are temporarily immobilised. We analyse the…

Statistical Mechanics · Physics 2024-04-17 Honghao Yu , Robert L. Jack

We numerically examine a binary system of particles with repulsive interactions, where one species is driven by a rotating drive and the other is subjected either to a constant drive in a fixed direction or to a rotating drive that is out…

Soft Condensed Matter · Physics 2026-05-07 C. Reichhardt , C. J. O. Reichhardt

The dynamical onset of lane formation is studied in experiments with binary complex plasmas under microgravity conditions. Small microparticles are driven and penetrate into a cloud of big particles, revealing a strong tendency towards lane…

We introduce and study a deterministic lattice model describing the motion of an infinite system of oppositely charged particles under the action of a constant electric field. As an application this model represents a traffic flow of cars…

Dynamical Systems · Mathematics 2009-11-13 Michael Blank

Using Brownian Dynamics (BD) simulations we investigate the non-equilibrium structure formation of a two-dimensional (2D) binary system of dipolar colloids propelling in opposite directions. Despite of a pronounced tendency for chain…

Soft Condensed Matter · Physics 2015-06-23 Florian Kogler , Sabine H. L. Klapp

Recently it has been shown that a strongly interacting colloidal mixture consisting of oppositely driven particles, undergoes a nonequilibrium transition towards lane formation provided the driving strength exceeds a threshold value. We…

Soft Condensed Matter · Physics 2009-11-10 J. Chakrabarti , J. Dzubiella , H. Lowen

We discuss stationary aspects of a set of driven lattice gases in which hard-core particles with spatial extent, covering more than one lattice site, diffuse and reconstruct in one dimension under nearest-neighbor interactions. As in the…

Statistical Mechanics · Physics 2011-12-30 M. D. Grynberg

We consider binary suspension of rough, circular particles in two dimensions under athermal conditions. The mean density of the system is kept constant. The suspension is subject to a time-independent external drive in response to which one…

Soft Condensed Matter · Physics 2021-03-26 Md. Samsuzzaman , A. Sayeed , Arnab Saha

We study an open system composed of two parallel totally asymmetric simple exclusion processes with particle attachment and detachment in the bulk. The particles are allowed to change their lane from lane-A to lane-B, but not conversely. We…

Statistical Mechanics · Physics 2015-06-17 Arvind Kumar Gupta , Isha Dhiman

A model for a monolayer of two types of particles spontaneously forming ordered patterns is studied by a mesoscopic theory and by MC simulations. We assume hard-cores of the same size for both components, short-range attraction long-range…

Soft Condensed Matter · Physics 2023-11-10 O. Patsahan , A. Meyra , A. Ciach

We analyze the pattern formation in systems of active particles with chiral forces in the context of pedestrian dynamics. To describe the interparticle interactions, we use the standard social force model and supplement it with a new type…

Statistical Mechanics · Physics 2024-04-30 Anna S. Bodrova , Fatema Al Najim , N. V. Brilliantov

We investigate a model for driven exclusion processes where internal states are assigned to the particles. The latter account for diverse situations, ranging from spin states in spintronics to parallel lanes in intracellular or vehicular…

Statistical Mechanics · Physics 2007-06-13 Tobias Reichenbach , Erwin Frey , Thomas Franosch
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