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Speed fluctuations of individual birds in natural flocks are moderate, due to the aerodynamic and biomechanical constraints of flight. Yet the spatial correlations of such fluctuations are scale-free, namely they have a range as wide as the…

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

Although human beings have known about the phenomenon of "flocking"- that is, the coherent movement of large numbers of creatures (flocks of birds, schools of fish, herds of woolly mammoths, etc.)- since prehistoric times, it is only in the…

Soft Condensed Matter · Physics 2018-12-04 John Toner

One of the most impressive features of moving animal groups is their ability to perform sudden coherent changes in travel direction. While this collective decision can be a response to an external perturbation, such as the presence of a…

We develop a kinetic theory for twisted density waves (phonons), carrying a finite amount of orbital angular momentum, in large magneto optical traps, where the collective processes due to the exchange of scattered photons are considered.…

Quantum Gases · Physics 2016-02-17 J. D. Rodrigues , H. Terças , J. T. Mendonça

We present a self-consistent theory for sound propagation in a simple model of a disordered solid. The solid is modeled as a collection of randomly distributed particles connected by harmonic springs with strengths that depend on the…

Disordered Systems and Neural Networks · Physics 2024-12-20 Grzegorz Szamel

Recently, we witnessed a tremendous effort to conquer the realm of acoustics as a possible playground to test with sound waves topologically protected wave propagation. Acoustics differ substantially from photonic and electronic systems…

Mesoscale and Nanoscale Physics · Physics 2019-05-14 Xiujuan Zhang , Meng Xiao , Ying Cheng , Ming-Hui Lu , Johan Christensen

We consider swarms formed by populations of self-propelled particles with attractive long-range interactions. These swarms represent multistable dynamical systems and can be found either in coherent traveling states or in an incoherent…

adap-org · Physics 2009-10-31 A. S. Mikhailov , D. H. Zanette

We study the recently proposed effective field theory for the phonon of an arbitrary non-relativistic superfluid. After computing the one-loop phonon self-energy, we obtain the low temperature T contributions to the phonon dispersion law at…

Quantum Gases · Physics 2014-11-20 Miguel Ángel Escobedo , Cristina Manuel

Many recent works on the observed galaxy clusters in the X-rays highlight broadly two classes of exclusive energy carriers - sound waves and turbulence. In order to understand this dichotomy, we design an idealized three-dimensional…

Astrophysics of Galaxies · Physics 2022-06-08 Prakriti Pal Choudhury , Christopher S. Reynolds

We study the spread of a persuasive new idea through a population of continuous-time random walkers in one dimension. The idea spreads via social gatherings involving groups of nearby walkers who act according to a biased "majority rule":…

Adaptation and Self-Organizing Systems · Physics 2017-01-09 James Burridge , Michal Gnacik

We simulate the Vicsek model utilising topological neighbour interactions and estimate information theoretic quantities as a function of noise, the variability in the extent to which each animal aligns with its neighbours, and the flock…

Statistical Mechanics · Physics 2018-09-12 Joshua Brown , Terry Bossomaier , Lionel Barnett

An important characteristic of flocks of birds, school of fish, and many similar assemblies of self-propelled particles is the emergence of states of collective order in which the particles move in the same direction. When noise is added…

Statistical Mechanics · Physics 2015-01-19 M. Aldana , V. Dossetti , C. Huepe , V. M. Kenkre , H. Larralde

Interactions among neighboring birds in a flock cause an alignment of their flight directions. We show that the minimally structured (maximum entropy) model consistent with these local correlations correctly predicts the propagation of…

As the constituent particles of a flock are polar and in a driven state, their interactions must, in general, be fore-aft asymmetric and non-reciprocal. Within a model that explicitly retains the classical spin angular momentum field of the…

Statistical Mechanics · Physics 2020-06-10 Lokrshi Prawar Dadhichi , Jitendra Kethapelli , Rahul Chajwa , Sriram Ramaswamy , Ananyo Maitra

We study the role of noise on the nature of the transition to collective motion in dry active matter. Starting from field theories that predict a continuous transition at the deterministic level, we show that fluctuations induce a…

Soft Condensed Matter · Physics 2021-04-12 David Martin , Hugues Chaté , Cesare Nardini , Alexandre Solon , Julien Tailleur , Frédéric van Wijland

A one-dimensional rule-based model for flocking, that combines velocity alignment and long-range centering interactions, is presented and studied. The induced cohesion in the collective motion of the self-propelled agents leads to a unique…

Statistical Mechanics · Physics 2015-01-19 V. Dossetti

The enigmatic stability of population oscillations within ecological systems is analyzed. The underlying mechanism is presented in the framework of two interacting species free to migrate between two spatial patches. It is shown that that…

Soft Condensed Matter · Physics 2015-06-25 Refael Abta , Marcello Schiffer , Nadav M. Shnerb

Bird flocking is a striking example of collective animal behaviour. A vivid illustration of this phenomenon is provided by the aerial display of vast flocks of starlings gathering at dusk over the roost and swirling with extraordinary…

We study a variant of the Cucker-Smale model where information between agents propagates with a finite speed $\mathfrak{c}>0$. This leads to a system of functional differential equations with state-dependent delay. We prove that, if…

Analysis of PDEs · Mathematics 2021-12-28 Jan Haskovec