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The Vicsek simulation model of flocking together with its theoretical treatment by Toner and Tu in 1995 were two foundational cornerstones of active matter physics. However, despite the field's tremendous progress, the actual universality…

Soft Condensed Matter · Physics 2024-11-19 Patrick Jentsch , Chiu Fan Lee

We modify the standard Vicsek model to clearly distinguish between intrinsic noise due to imperfect alignment between organisms, and extrinsic noise due to fluid motion. We then consider the effect of a steady vortical flow, the Taylor…

Biological Physics · Physics 2015-06-11 Andrew W. Baggaley

We develop the hydrodynamic theory of dry, polar ordered, active matter (``flocking") with autochemotaxis; i.e., self-propelled entities moving in the same direction, each emitting a substance which attracts the others (e.g., ants). We find…

Soft Condensed Matter · Physics 2024-01-22 Maxx Miller , John Toner

Spontaneous emergence of correlated states such as flocks and vortices are prime examples of remarkable collective dynamics and self-organization observed in active matter. The formation of globally correlated polar states in geometrically…

Soft Condensed Matter · Physics 2022-01-10 Bo Zhang , Hang Yuan , Andrey Sokolov , Monica Olvera de la Cruz , Alexey Snezhko

We show that spontaneous density segregation in dense systems of aligning circle swimmers is a condensation phenomenon at odds with the phase separation scenarios usually observed in two-dimensional active matter. The condensates, which…

Soft Condensed Matter · Physics 2024-12-20 Yujia Wang , Bruno Ventéjou , Hugues Chaté , Xia-qing Shi

Experimental observations of animal collective behavior have shown stunning evidence for the emergence of large-scale cooperative phenomena resembling phase transitions in physical systems. Indeed, quantitative studies have found scale-free…

Statistical Mechanics · Physics 2013-03-27 Gabriel Baglietto , Ezequiel V. Albano , Julián Candia

The emergence of order from initial disordered movement in self-propelled collective motion is an instance of nonequilibrium phase transition, which is known to be first order in the thermodynamic limit. Here, we introduce a multiplicative…

Statistical Mechanics · Physics 2024-04-30 Fatemeh Haghsheno , Mohammad Mehrafarin

We study the spatio-temporal dynamics of a model of polar active fluid in two dimensions. The system exhibits a transition from an isotropic to a polarized state as a function of density. The uniform polarized state is, however, unstable…

Soft Condensed Matter · Physics 2011-12-08 Luca Giomi , M. Cristina Marchetti

Systems of motile microorganisms exhibit a multitude of collective phenomena, including motility-induced phase separation and turbulence. Sensing of the environment and adaptation of movement plays an essential role in the emergent…

Soft Condensed Matter · Physics 2024-06-26 Segun Goh , Elmar Westphal , Roland G. Winkler , Gerhard Gompper

Controlling the phases of matter is a challenge that spans from condensed materials to biological systems. Here, by imposing a geometric boundary condition, we study controlled collective motion of Escherichia coli bacteria. A circular…

Soft Condensed Matter · Physics 2017-09-01 Kazusa Beppu , Ziane Izri , Jun Gohya , Kanta Eto , Masatoshi Ichikawa , Yusuke T. Maeda

We consider the effect of spatial anisotropy on polar flocks by investigating active $q$-state clock models in two dimensions. In contrast to what happens in equilibrium, we find that, in the large-size limit, any amount of anisotropy…

Statistical Mechanics · Physics 2024-09-16 Alexandre Solon , Hugues Chaté , John Toner , Julien Tailleur

The Vicsek model of self-propelled particles is known in three different phases: (i) a polar ordered homogeneous phase also called Toner-Tu phase, (iii) a phase of polar ordered regularly arranged high density bands (waves) with surrounding…

Soft Condensed Matter · Physics 2020-11-04 Rüdiger Kürsten , Thomas Ihle

Recent studies in the collective behavior of active colloids have shown that a global polar order may emerge due to long-ranged chemo-repulsive interactions between them. Here, we report the role of pinning disorder in the flocking…

Soft Condensed Matter · Physics 2026-03-02 Sagarika Adhikary , Arvin Gopal Subramaniam , Rajesh Singh

The onset of polar flocking in active matter is discontinuous, akin to gas-liquid phase transitions, except that the steady state exhibits microphase separation into polar clusters. While these features have been observed in theoretical…

Soft Condensed Matter · Physics 2021-03-31 Lorenz Huber , Timo Krüger , Erwin Frey

Synchronization, the temporal coordination of coupled oscillators, allows fireflies to flash in unison, neurons to fire collectively and human crowds to fall in step on the London Millenium bridge. Here, we interpret active (or…

Statistical Mechanics · Physics 2019-10-02 Demian Levis , Ignacio Pagonabarraga , Benno Liebchen

Flocking and vortical are two typical motion modes in active matter. Although it is known that the two modes can spontaneously switch between each other in a finite-size system, the switching dynamics remain elusive. In this work, by…

Soft Condensed Matter · Physics 2024-08-20 Bing Yang , Yanting Wang

Recently, non-reciprocal systems have become a focus of growing interest. Examples occur in soft and active matter, but also in engineered quantum materials and neural (brain) networks. Here, we investigate the impact of non-reciprocity on…

Soft Condensed Matter · Physics 2023-01-10 Kim L. Kreienkamp , Sabine H. L. Klapp

We consider an active Ising model in which spins both diffuse and align on lattice in one and two dimensions. The diffusion is biased so that plus or minus spins hop preferably to the left or to the right, which generates a flocking…

Statistical Mechanics · Physics 2013-09-09 A. Solon , J. Tailleur

The Vicsek model (Vicsek et al. 1995) is a very popular minimalist model to study active matter with a number of applications to biological systems at different length scales. With its off-lattice implementation and periodic boundary…

Statistical Mechanics · Physics 2022-03-07 Andreas Kuhn , Sabine C. Fischer

We study the structure and phase behavior of a binary mixture where one of the components is self-propelling in nature. The inter-particle interactions in the system were taken from the Asakura-Oosawa model, for colloid-polymer mixtures,…

Statistical Mechanics · Physics 2015-06-17 Subir K. Das , Sergei Egorov , Benjamin Trefz , Peter Virnau , Kurt Binder