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We construct the hydrodynamic theory of coherent collective motion ("flocking") at a solid-liquid interface. The polar order parameter and concentration of a collection of "active" (self-propelled) particles at a planar interface between a…

软凝聚态物质 · 物理学 2022-01-05 Niladri Sarkar , Abhik Basu , John Toner

We study the collective dynamics of elongated swimmers in a very thin fluid layer by devising long, filamentous, non-tumbling bacteria. The strong confinement induces weak nematic alignment upon collision, which, for large enough density of…

统计力学 · 物理学 2017-02-22 Daiki Nishiguchi , Ken H. Nagai , Hugues Chaté , Masaki Sano

We show that "dry" active nematics, e.g. collections of shaken elongated granular particles, exhibit large-scale spatiotemporal chaos made of interacting dense, ordered, band-like structures in a parameter region including the linear onset…

软凝聚态物质 · 物理学 2014-09-16 Sandrine Ngo , Anton Peshkov , Igor S. Aranson , Eric Bertin , Francesco Ginelli , Hugues Chaté

The large scale fluctuations of the ordered state in active matter systems are usually characterised by studying the "giant number fluctuations" of particles in any finite volume, as compared to the expectations from the central limit…

软凝聚态物质 · 物理学 2018-05-25 Supravat Dey , Dibyendu Das , R. Rajesh

Systems driven far from equilibrium may exhibit anomalous density fluctuations: active matter with orientational order display giant density fluctuations at large scale, while systems of interacting particles close to an absorbing phase…

统计力学 · 物理学 2026-03-23 Sara Dal Cengio , Romain Mari , Eric Bertin

We present the hydrodynamic theory of coherent collective motion ("flocking") at a solid-liquid interface, and many of its predictions for experiment. We find that such systems are stable, and have long-range orientational order, over a…

软凝聚态物质 · 物理学 2022-01-05 Niladri Sarkar , Abhik Basu , John Toner

We numerically exhibit strange scaling and temporal evolution of finite-size fluctuation in thermal equilibrium of a simple long-range interacting system. These phenomena are explained from the view point of existence of the Casimirs and…

统计力学 · 物理学 2016-07-27 Yoshiyuki Y. Yamaguchi

Statistical fluctuations in population sizes of microbes may be quite large depending on the nature of their underlying stochastic dynamics. For example, the variance of the population size of a microbe undergoing a pure birth process with…

种群与进化 · 定量生物学 2012-06-27 Dipjyoti Das , Dibyendu Das , Ashok Prasad

Fluctuations may govern the fate of an interacting particle system even on the mean-field level. This is demonstrated via a three species cyclic trapping reaction with a large, yet finite number of particles, where the final number of…

统计力学 · 物理学 2007-05-23 E. Ben-Naim , P. L. Krapivsky

Non-motile elongated bacteria confined in two-dimensional open micro-channels can exhibit collective motion and form dense monolayers with nematic order if the cells proliferate, i.e., grow and divide. Using soft molecular dynamics…

软凝聚态物质 · 物理学 2013-07-25 Sirio Orozco-Fuentes , Denis Boyer

We present a quantitative continuum theory of ``flocking'': the collective coherent motion of large numbers of self-propelled organisms. Our model predicts the existence of an ``ordered phase'' of flocks, in which all members of the flock…

统计力学 · 物理学 2009-10-31 John Toner , Yuhai Tu

I study "Malthusian Flocks": moving aggregates of self-propelled entities (e.g., organisms, cytoskeletal actin, microtubules in mitotic spindles) that reproduce and die. Long-ranged order (i.e., the existence of a non-zero average velocity…

其他凝聚态物理 · 物理学 2013-05-30 John Toner

Giant number fluctuations (GNFs), whereby the standard deviation $\Delta N$ in the local number of particles $\langle N \rangle$ grows faster than $\sqrt{\langle N \rangle}$, are a hallmark property of dry active matter systems with…

We model an enclosed system of bacteria, whose motility-induced phase separation is coupled to slow population dynamics. Without noise, the system shows both static phase separation and a limit cycle, in which a rising global population…

统计力学 · 物理学 2017-11-08 Tobias Grafke , Michael E. Cates , Eric Vanden-Eijnden

Many systems in nature, from ferromagnets to flocks of birds, exhibit ordering phenomena on the large scale. In physical systems order is statistically robust for large enough dimensions, with relative fluctuations due to noise vanishing…

统计力学 · 物理学 2017-04-05 Andrea Cavagna , Irene Giardina , Asja Jelic , Edmondo Silvestri , Massimiliano Viale

The self-organised motion of vast numbers of creatures in a single direction is a spectacular example of emergent order. We recreate this phenomenon using actuated non-living components. We report here that millimetre-sized tapered rods,…

软凝聚态物质 · 物理学 2014-09-23 Nitin Kumar , Harsh Soni , Sriram Ramaswamy , A. K. Sood

How condensed-matter simulations depend on the number of molecules being simulated ($N$) is sometimes itself a valuable piece of information. Liquid crystals provide a case in point. Light scattering and $2d$-IR experiments on…

软凝聚态物质 · 物理学 2024-12-20 Eleftherios Mainas , Richard M. Stratt

The hydrodynamic equations of dry active polar fluids (i.e., moving flocks without momentum conservation) are shown to imply giant number fluctuations. Specifically, the rms fluctuations $\sqrt {<(\delta N)^2>}$ of the number $N$ of active…

统计力学 · 物理学 2019-05-22 John Toner

Active materials, composed of internally driven particles, have properties that are qualitatively distinct from matter at thermal equilibrium. However, the most spectacular departures from equilibrium phase behaviour are thought to be…

软凝聚态物质 · 物理学 2020-12-30 Ananyo Maitra , Martin Lenz , Raphael Voituriez

We study analytically giant fluctuations and temporal intermittency in a stochastic one-dimensional model with diffusion and aggregation of masses in the bulk, along with influx of single particles and outflux of aggregates at the…

统计力学 · 物理学 2015-06-17 Himani Sachdeva , Mustansir Barma
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