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Giant number fluctuations (GNF) are an anomaly universally observed in active fluids with polar or nematic order. In this paper, we show that GNF arise in the fluid phase of active Brownian particles (ABP), where the polar order is absent.…

Soft Condensed Matter · Physics 2023-02-06 Yuta Kuroda , Hiromichi Matsuyama , Takeshi Kawasaki , Kunimasa Miyazaki

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…

Populations and Evolution · Quantitative Biology 2012-06-27 Dipjyoti Das , Dibyendu Das , Ashok Prasad

Coherently moving flocks of birds, beasts or bacteria are examples of living matter with spontaneous orientational order. How do these systems differ from thermal equilibrium systems with such liquid-crystalline order? Working with a…

Soft Condensed Matter · Physics 2011-11-09 Vijay Narayan , Sriram Ramaswamy , Narayanan Menon

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…

Statistical Mechanics · Physics 2019-05-22 John Toner

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…

Statistical Mechanics · Physics 2026-03-23 Sara Dal Cengio , Romain Mari , Eric Bertin

Ultrasoft colloidal particle fluctuates due to its flexibility. Such fluctuation is essential for colloidal structure and dynamics, but is challenging to quantify experimentally. We use dendrimers as a model system to study the fluctuation…

Soft Condensed Matter · Physics 2021-09-29 Huarui Wu , Jing Song , Wei-Ren Chen , Kun Song , Lionel Porcar , Zhe Wang

We experimentally study density fluctuations and energy spectra of bulk \textit{E. coli} suspensions of different concentrations. Our results verify the predicted scaling law of giant number fluctuations in three-dimensional (3D) wet active…

Soft Condensed Matter · Physics 2021-10-28 Zhengyang Liu , Wei Zeng , Xiaolei Ma , Xiang Cheng

At the macroscopic scale, many important models of collective motion fall into the class of kinematic flows for which both velocity and diffusion terms depend only on particle density. When total particle numbers are fixed and finite,…

Adaptation and Self-Organizing Systems · Physics 2022-04-12 Jeremy Worsfold , Tim Rogers , Paul Milewski

We study spatiotemporal chaos in two-dimensional dense active suspensions using a generalized hydrodynamic model. Increasing activity induces a structural transition marked by the formation of intense vortices and giant number fluctuations…

Fluid Dynamics · Physics 2026-03-13 Kirti Kashyap , Kolluru Venkata Kiran , Anupam Gupta

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…

Soft Condensed Matter · Physics 2018-05-25 Supravat Dey , Dibyendu Das , R. Rajesh

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…

Statistical Mechanics · Physics 2017-02-22 Daiki Nishiguchi , Ken H. Nagai , Hugues Chaté , Masaki Sano

Brownian particles suspended in disordered crowded environments often exhibit non-Gaussian normal diffusion (NGND), whereby their displacements grow with mean square proportional to the observation time and non-Gaussian statistics. Their…

Statistical Mechanics · Physics 2021-01-19 Qingqing Yin , Yunyun Li , Fabio Marchesoni , Shubhadip Nayak , Pulak Ghosh

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…

Soft Condensed Matter · Physics 2014-09-16 Sandrine Ngo , Anton Peshkov , Igor S. Aranson , Eric Bertin , Francesco Ginelli , Hugues Chaté

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…

Soft Condensed Matter · Physics 2022-01-05 Niladri Sarkar , Abhik Basu , John Toner

Many successful theories of liquids near the melting temperature assume that small length scale density fluctuations follow Gaussian statistics. In this paper I present numerical investigations of fluctuations in the supercooled viscous…

Statistical Mechanics · Physics 2019-03-07 Ulf R. Pedersen

This study shows the connection between three previously observed but seemingly unrelated phenomena in hydrodynamic (HD) and magnetohydrodynamic (MHD) turbulent flows, involving the emergence of fluctuations occurring on very long time…

Fluid Dynamics · Physics 2015-05-28 P. Dmitruk , P. D. Mininni , A. Pouquet , S. Servidio , W. H. Matthaeus

We study the fluctuations of the Gaussian model, with conservation of the order parameter, evolving in contact with a thermal bath quenched from inverse temperature $\beta _i$ to a final one $\beta _f$. At every time there exists a critical…

Statistical Mechanics · Physics 2020-01-29 Federico Corberi , Onofrio Mazzarisi , Andrea Gambassi

Recently acoustic signature of dislocation avalanches in HCP materials was found to be long tailed in size and energy, suggesting critical dynamics. Even more recently, the intermittent plastic response was found to be generic for micro-…

Mesoscale and Nanoscale Physics · Physics 2021-05-25 Jérôme Weiss , Peng Zhang , Oguz Umut Salman , Gang Liu , Lev Truskinovsky

Emergent order resulting from spontaneous symmetry breakings has been a central topic in statistical physics. Active matter systems composed of nonequilibrium elements exhibit a diverse range of fascinating phenomena beyond equilibrium…

Statistical Mechanics · Physics 2023-07-03 Daiki Nishiguchi

The distribution of resistance fluctuations of conducting thin films with granular structure near electrical breakdown is studied by numerical simulations. The film is modeled as a resistor network in a steady state determined by the…

Statistical Mechanics · Physics 2009-11-10 C. Pennetta , E. Alfinito , L. Reggiani , S. Ruffo
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