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Related papers: Large-scale collective properties of self-propelle…

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Increasing evidence suggests that active matter exhibits instances of mixed symmetry that cannot be fully described by either polar or nematic formalism. Here, we introduce a minimal model that integrates self-propulsion into the active…

Soft Condensed Matter · Physics 2025-09-03 Niels de Graaf Sousa , Simon Guldager Andersen , Aleksandra Ardaševa , Amin Doostmohammadi

We study the orientational ordering in systems of self-propelled particles with selective interactions. To introduce the selectivity we augment the standard Vicsek model with a bounded-confidence collision rule: a given particle only aligns…

Statistical Mechanics · Physics 2014-12-01 Maksym Romenskyy , Vladimir Lobaskin , Thomas Ihle

We analyze the continuous time evolution of a $d$-dimensional system of $N$ self propelled particles with a kinematic constraint on the velocities inspired by the original Vicsek's one \cite{VCB-JCS}. Interactions among particles are…

Mathematical Physics · Physics 2014-07-29 Michele Gianfelice , Enza Orlandi

Collections of simple, self-propelled colloidal particles exhibit complex, emergent dynamical behavior, with promising applications in microrobotics. When confined within a deformable vesicle, self-propelled rods cluster and align,…

Soft Condensed Matter · Physics 2025-10-28 Sophie Y. Lee , Philipp W. A. Schönhöfer , Sharon C. Glotzer

We study the polar collective dynamics of Janus colloidal particles fueled by an AC electric field. When the density is high enough, the polar interactions between the particles induce a polar orientationally ordered state which exhibits…

Statistical Mechanics · Physics 2021-11-22 Junichiro Iwasawa , Daiki Nishiguchi , Masaki Sano

We discuss biologically inspired, inherently non-equilibrium self-propelled particle models, in which the particles interact with their neighbours by choosing at each time step the local average direction of motion. We summarize some of the…

Statistical Mechanics · Physics 2007-05-23 Andras Czirok , Tamas Vicsek

We study analytically the emergence of spontaneous collective motion within large bidimensional groups of self-propelled particles with noisy local interactions, a schematic model for assemblies of biological organisms. As a central result,…

Statistical Mechanics · Physics 2009-11-11 Eric Bertin , Michel Droz , Guillaume Gregoire

We study a system of self-propelled particles which interact with their neighbors via alignment and repulsion. The particle velocities result from self-propulsion and repulsion by close neighbors. The direction of self-propulsion is…

Mathematical Physics · Physics 2014-04-22 Pierre Degond , Giacomo Dimarco , Thi Bich Ngoc Mac , Nan Wang

Self-propelled particles display unique collective phenomena, due to the intrinsic coupling of density and polarity. For instance, the giant number fluctuation appears in the orientationally ordered state, and the motility-induced phase…

Statistical Mechanics · Physics 2024-09-04 Kyosuke Adachi , Hiroyoshi Nakano

Following the goal of using active particles as targeted cargo carriers aimed, for example, to deliver drugs towards cancer cells, the quest for the control of individual active particles with external fields is among the most explored…

Soft Condensed Matter · Physics 2021-06-11 Alexandra Zampetaki , Peter Schmelcher , Hartmut Löwen , Benno Liebchen

The possibility to align and organize faceted particles in the bulk offers intriguing possibilities for the design and discovery of materials and architectures exhibiting novel functional properties. The growth of ice crystals can be used…

Materials Science · Physics 2015-07-01 Florian Bouville , Eric Maire , Sylvain Deville

The behavior of active matter under confinement poses significant challenges due to the intricate coupling between dynamics near boundaries and those in the bulk. A defining feature of active matter systems is that a substantial portion of…

Analysis of PDEs · Mathematics 2025-08-25 Leonid Berlyand , Spencer Dang , Pierre-Emmanuel Jabin , Mykhailo Potomkin

To elucidate mechanisms of mesoscopic turbulence exhibited by active particles, we experimentally study turbulent states of non-living self-propelled particles. We realize an experimental system with dense suspensions of asymmetrical…

Soft Condensed Matter · Physics 2017-02-16 Daiki Nishiguchi , Masaki Sano

The Vlasov-Nordstr\"{o}m-Fokker-Planck system describes the evolution of self-gravitating matter experiencing collisions with a fixed background of particles in the framework of a relativistic scalar theory of gravitation. We study the…

Mathematical Physics · Physics 2014-07-22 José Antonio Alcántara Felix , Simone Calogero , Stephen Pankavich

Ordered, collective motions commonly arise spontaneously in systems of many interacting, active units, ranging from cellular tissues and bacterial colonies to self-propelled colloids and animal flocks. Active phases are especially rich when…

Soft Condensed Matter · Physics 2024-07-15 Madhuvanthi Guruprasad Athani , Daniel A. Beller

We show that low density homogeneous phases of self propelled hard disks exhibit a transition from isotropic to polar collective motion, albeit of a qualitatively distinct class from the Vicsek one. In the absence of noise, an abrupt…

Soft Condensed Matter · Physics 2016-01-19 Khanh-Dang Nguyen Thu Lam , Michael Schindler , Olivier Dauchot

The recent experimental discovery of ferroelectric and splay nematic phases has sparked interest in comprehending the crucial molecular features necessary to stabilize these innovative structures. This study advances the ongoing discourse…

Soft Condensed Matter · Physics 2024-09-17 Agnieszka Chrzanowska , Lech Longa

We experimentally study a monolayer of vibrated disks with a built-in polar asymmetry which enables them to move quasi-balistically on a large persistence length. Alignment occurs during collisions as a result of self-propulsion and hard…

Soft Condensed Matter · Physics 2012-07-12 Julien Deseigne , Olivier Dauchot , Hugues Chatè

Animals having a trend to align their velocities to an average of their neighbors' may flock as illustrated by the Vicsek model and its variants. If, in addition, they feel a systematic contrarian trend, the result may be a time periodic…

Statistical Mechanics · Physics 2019-02-06 L L Bonilla , C. Trenado

We derive a model describing spatio-temporal organization of an array of microtubules interacting via molecular motors. Starting from a stochastic model of inelastic polar rods with a generic anisotropic interaction kernel we obtain a set…

Soft Condensed Matter · Physics 2007-05-23 Igor S. Aranson , Lev S. Tsimring