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The accumulation of self-propelled particles on repulsive barriers is a widely observed feature in active matter. Despite being implicated in a broad range of biological processes, from biofilm formation to cytoskeletal movement, wetting of…

Statistical Mechanics · Physics 2025-12-12 Noah Grodzinski , Michael E. Cates , Robert L. Jack

The motion of self-propelled particles is modeled as a persistent random walk. An analytical framework is developed that allows the derivation of exact expressions for the time evolution of arbitrary moments of the persistent walk's…

Soft Condensed Matter · Physics 2015-07-28 Zeinab Sadjadi , M. Reza Shaebani , Heiko Rieger , Ludger Santen

The electrostatic interaction between pairs of spherical or macroscopically long, parallel cylindrical colloids trapped at fluid interfaces is studied theoretically for the case of small inter-particle separations. Starting from the…

Soft Condensed Matter · Physics 2018-11-30 Arghya Majee , Markus Bier , S. Dietrich

Suspended microparticles subjected to AC electrical fields collectively organize into band patterns perpendicular to the field direction. The bands further develop into zigzag shaped patterns, in which the particles are observed to…

Soft Condensed Matter · Physics 2022-02-16 Florian Katzmeier , Bernhard Altaner , Jonathan List , Ulrich Gerland , Friedrich C. Simmel

Self-propelled particles accumulate on repulsive barriers in so-called active wetting, but the relationship between this process and equilibrium wetting remains unclear. Using an exact (noiseless) hydrodynamic framework for an active…

Statistical Mechanics · Physics 2025-12-10 Noah Grodzinski , Robert L. Jack , Michael E. Cates

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

In this article an anisotropic interaction model avoiding collisions is proposed. Starting point is a general isotropic interacting particle system, as used for swarming or follower-leader dynamics. An anisotropy is induced by rotation of…

Analysis of PDEs · Mathematics 2020-08-17 Claudia Totzeck

One standard approach to describe the collective behaviour of self-propelled particles is the Vicsek model: point-like self-propelled particles tend to align their migration directions to the ones of their nearer neighbours at each…

Soft Condensed Matter · Physics 2013-11-27 Andreas M. Menzel

The study of real-life network modeling has become very popular in recent years. An attractive model is the scale-free percolation model on the lattice $\mathbb{Z}^d$, $d\ge1$, because it fulfills several stylized facts observed in large…

Probability · Mathematics 2016-09-29 Philippe Deprez , Mario V. Wüthrich

We expand on a recent study of a lattice model of interacting particles [Phys. Rev. Lett. 111, 110601 (2013)]. The adsorption isotherm and equilibrium fluctuations in particle number are discussed as a function of the interaction. Their…

Statistical Mechanics · Physics 2014-11-20 T. Becker , K. Nelissen , B. Cleuren , B. Partoens , C. Van den Broeck

In this paper we study the motion of two particles diffusing on low-dimensional discrete structures in presence of a hard-core repulsive interaction. We show that the problem can be mapped in two decoupled problems of single particles…

Statistical Mechanics · Physics 2009-11-07 R. Burioni , D. Cassi , G. Giusiano , S. Regina

Nonreciprocal interactions violating Newton's third law are common in a plethora of nonequilibrium situations ranging from predator-prey systems to the swarming of birds and effective colloidal interactions under flow. While many recent…

Soft Condensed Matter · Physics 2025-10-07 Zhi-Feng Huang , Michael te Vrugt , Jonas Mayer Martins , Raphael Wittkowski , Hartmut Löwen

We present and analyze mechanisms for the patterned deposition of particles in a spatio-temporally driven lattice. The working principle is based on the breaking of the spatio-temporal translation symmetry, which is responsible for the…

Chaotic Dynamics · Physics 2013-11-06 Benno Liebchen , Christoph Petri , Florian Lenz , Peter Schmelcher

One of the main features of superfluids is the presence of topological defects with quantised circulation. These objects are known as quantum vortices and exhibit a hydrodynamic behaviour. Nowadays, particles are the main experimental tool…

Fluid Dynamics · Physics 2019-03-21 Umberto Giuriato , Giorgio Krstulovic

Ratchet effects can appear for particles interacting with an asymmetric potential under ac driving or for a thermal system in which a substrate is periodically flashed. Here, we show that a new type of collective ratchet effect can arise…

Soft Condensed Matter · Physics 2025-07-16 C. Reichhardt , C. J. O. Reichhardt

A continuum model for a population of self-propelled particles interacting through nematic alignment is derived from an individual-based model. The methodology consists of introducing a hydrodynamic scaling of the corresponding mean-field…

Analysis of PDEs · Mathematics 2015-09-11 Pierre Degond , Angelika Manhart , Hui Yu

We use a combination of numerical simulations and experiments to elucidate the structure of the flow of an electrically conducting fluid past a localized magnetic field, called magnetic obstacle. We demonstrate that the stationary flow…

Fluid Dynamics · Physics 2007-05-23 E. V. Votyakov , Yu. Kolesnikov , O. Andreev , E. Zienicke , A. Thess

We study a model of self propelled particles exhibiting run and tumble dynamics on lattice. This non-Brownian diffusion is characterised by a random walk with a finite persistence length between changes of direction, and is inspired by the…

Statistical Mechanics · Physics 2015-03-17 A. G. Thompson , J. Tailleur , M. E. Cates , R. A. Blythe

Intracellular processes often rely on the timely encounter of mobile reaction partners, including intermittently motor-driven organelles. The underlying cytoskeletal network presents a complex landscape that both directs particle movement…

Biological Physics · Physics 2025-12-17 Lizzy Teryoshin , Mario Hidalgo-Soria , Elena F. Koslover

Particle-wall interactions play a crucially important role in various applications such as microfluidic devices for cell sorting, particle separation, entire class of hydrodynamic filtration and its derivatives, etc. Yet, accurate…

Fluid Dynamics · Physics 2025-03-18 Aryan Mehboudi , Shrawan Singhal , S. V. Sreenivasan