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Hydrodynamically interacting active particles in an external harmonic potential form a self-assembled fluid pump at large enough P\'eclet numbers. Here, we give a quantitative criterion for the formation of the pump and show that particle…

Soft Condensed Matter · Physics 2015-06-18 Marc Hennes , Katrin Wolff , Holger Stark

The collective properties of a binary mixture of A- and B-type self-steering particles endowed with visual perception are studied by computer simulations. Active Brownian particles are employed with an additional steering mechanism, which…

Soft Condensed Matter · Physics 2026-05-29 Rajendra Singh Negi , Roland G. Winkler , Gerhard Gompper

Spontaneous segregation of run-and-tumble particles with different velocities in microchannels is investigated by numerical simulations. Self-propelled particles are known to accumulate in the proximity of walls. Here we show how fast…

Soft Condensed Matter · Physics 2014-09-05 Andrea Costanzo , Jens Elgeti , Thorsten Auth , Gerhard Gompper , Marisol Ripoll

A hallmark in natural systems, self-organization often stems from very simple interaction rules between individual agents. While single-species self-propelled particle (SPP) systems are well understood, the behavior of binary mixtures with…

Soft Condensed Matter · Physics 2026-03-05 Eloise Lardet , Letian Chen , Thibault Bertrand

The linear Boltzmann equation for elastic and/or inelastic scattering is applied to derive the distribution function of a spatially homogeneous system of charged particles spreading in a host medium of two-level atoms and subjected to…

Statistical Mechanics · Physics 2009-11-13 A. Rossani , A. M. Scarfone

We investigate the linearized hydrodynamic equations of interacting self-propelled particles in two dimensional space. It is found that the small perturbations of density and polarization fields satisfy the hyperbolic partial differential…

Biological Physics · Physics 2019-01-01 Waipot Ngamsaad , Suthep Suantai

We present a novel aligning active matter model by extending the nematic alignment rule in self-propelled rods to tunable alignment angles, as represented by collision of cone-shaped particles. Non-vanishing alignment angles introduce…

Soft Condensed Matter · Physics 2026-01-29 Zichen Qin , Nariya Uchida

We study numerically and analytically a model of self-propelled polar disks on a substrate in two dimensions. The particles interact via isotropic repulsive forces and are subject to rotational noise, but there is no aligning interaction.…

Soft Condensed Matter · Physics 2014-02-24 Yaouen Fily , M. Cristina Marchetti

We propose a microscopic description for the polarization from the first principle through the spin-orbit coupling in particle collisions. The model is different from previous ones based on local equilibrium assumptions for the spin degree…

Nuclear Theory · Physics 2019-12-11 Jun-jie Zhang , Ren-hong Fang , Qun Wang , Xin-Nian Wang

Polariton polarization can be described in terms of a pseudospin which can be oriented along the $x,\,y,$ or $z$ axis, similarly to electron and hole spin. Unlike electrons and holes where time-reversal symmetry requires that the spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2016-02-24 Vincent Sacksteder , A. A. Pervishko , I. A. Shelykh

Kinetic theories constitute one of the most promising tools to decipher the characteristic spatio-temporal dynamics in systems of actively propelled particles. In this context, the Boltzmann equation plays a pivotal role, since it provides…

Soft Condensed Matter · Physics 2014-11-18 Florian Thüroff , Christoph A. Weber , Erwin Frey

A ring-kinetic theory for Vicsek-style models of self-propelled agents is derived from the exact N-particle evolution equation in phase space. The theory goes beyond mean-field and does not rely on Boltzmann's approximation of molecular…

Statistical Mechanics · Physics 2015-02-24 Yen-Liang Chou , Thomas Ihle

We study point-like polarizable particles confined in a 1D very elongated trap within the evanescent field of an optical nano-fiber or nano-structure. When illuminated transversely by coherent light, collective light scattering into…

Optics · Physics 2015-06-22 Daniela Holzmann , Matthias Sonnleitner , Helmut Ritsch

We investigate the interplay between chemotaxis and alignment interactions in active rod-like particles, such as E. coli and Janus rods. Starting from a discrete model of self-propelled rods with chemotactic responses, we employ a…

Soft Condensed Matter · Physics 2025-06-24 Shun Sakurai , Nariya Uchida

Considering systems of self-propelled polar particles with nematic interactions ("rods"), we compare the continuum equations describing the evolution of polar and nematic order parameters, derived either from Smoluchowski or Boltzmann…

Statistical Mechanics · Physics 2015-11-10 Eric Bertin , Aparna Baskaran , Hugues Chaté , M. Cristina Marchetti

Counter-propagating light fields have the ability to create self-organized one-dimensional optically bound arrays of microscopic particles, where the light fields adapt to the particle locations and vice versa. We develop a theoretical…

Optics · Physics 2009-11-10 D. McGloin , A. E. Carruthers , K. Dholakia , E. M. Wright

Studies in the collective motility of organisms use a range of analytical approaches to formulate continuous kinetic models of collective dynamics from rules or equations describing agent interactions. However, the derivation of these…

We consider aligning self-propelled particles in two dimensions. Their motion is given by generalized Langevin equations and includes non-additive N-particle interactions. The qualitative behavior is as for the famous Vicsek model. We…

Soft Condensed Matter · Physics 2021-09-08 Rüdiger Kürsten , Thomas Ihle

Active Brownian particles (ABPs) serve as a minimal model of active matter systems. When ABPs are sufficiently persistent, they undergo a liquid-gas phase separation and, in the presence of obstacles, accumulate around them, forming a…

Soft Condensed Matter · Physics 2025-10-16 Pablo Perez-Bastías , Rodrigo Soto

We undertake a systematic numerical exploration of self-organized states in a deterministic model of interacting self-propelled particles in two dimensions. In the process, we identify various types of collective motion, namely, disordered…

Statistical Mechanics · Physics 2015-03-19 Jihad Touma , Amer Shreim , Leonid Klushin