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Sufficiently strong inter-site interactions in extended-Hubbard and XXZ spin models result in dynamically-bound clusters at neighboring sites. We show that the dynamics of these clusters in two-dimensional lattices is remarkably different…

Quantum Gases · Physics 2021-04-28 Wei-Han Li , Arya Dhar , Xiaolong Deng , Luis Santos

There is increasing evidence that fish gain energetic benefits when they swim in a school. The most recent indications of such benefits are a lower tail (or fin) beat at the back of a school and reduced oxygen consumption in schooling fish…

Quantitative Methods · Quantitative Biology 2013-07-30 C. K. Hemelrijk , D. A. P. Reid , H. Hildenbrandt , J. T. Padding

We study how hydrodynamic interactions affect the collective behaviour of active particles suspended in a fluid at high concentrations, with particular attention to lubrication forces which appear when the particles are very close to one…

Soft Condensed Matter · Physics 2018-05-29 Natsuhiko Yoshinaga , Tanniemola B. Liverpool

A system of ferromagnetic particles trapped at a liquid-liquid interface and subjected to a set of magnetic fields (magnetocapillary swimmers) is studied numerically using a hybrid method combining the pseudopotential lattice Boltzmann…

We derive from first principles a three-dimensional theory of self-propelled particle swarming in a viscous fluid environment. Our model predicts emergent collective behavior that depends critically on fluid opacity, mechanism of…

Soft Condensed Matter · Physics 2026-05-12 Yao-Li Chuang , M. R. D'Orsogna , T. Chou

We present a fluctuating hydrodynamic description of an active lattice gas model with excluded volume interactions that exhibits motility-induced phase separation under appropriate conditions. For quasi-one dimension and higher, stability…

Statistical Mechanics · Physics 2025-10-20 Ritwik Mukherjee , Soumyabrata Saha , Tridib Sadhu , Abhishek Dhar , Sanjib Sabhapandit

Living objects are able to consume chemical energy and process information independently from others. However, living objects can coordinate to form ordered groups such as schools of fish. This work considers these complex groups as living…

In systems with a conserved density, the additional conservation of the center of mass (dipole moment) has been shown to slow down the associated hydrodynamics. At the same time, long-range interactions generally lead to faster transport…

Statistical Mechanics · Physics 2023-07-27 Alan Morningstar , Nicholas O'Dea , Jonas Richter

Coordinated movement and self-organisation of active self-driven agents is common in nature and is seen across different scales, from herds of animals to collective motion in bacteria. Often, these systems are heterogeneous in composition,…

Adaptation and Self-Organizing Systems · Physics 2026-04-28 Balagopal Nair , Arshed Nabeel , Danny Raj M

Collective motion in animal groups emerges from the interplay between individual variability and social coordination, yet connecting these scales quantitatively has remained a major challenge.Using high-resolution trajectories of schooling…

Other Condensed Matter · Physics 2026-01-15 Elena G. de Lamo , M. Carmen Miguel , Romualdo Pastor-Satorras

The collective swimming of soft robots in an infinite viscous fluid is an emergent phenomenon due to the non-reciprocal hydrodynamic interactions between individual swimmers. These physical interactions give rise to unique spatiotemporal…

Fluid Dynamics · Physics 2024-10-01 R. Pramanik , R. W. C. P. Verstappen , P. R. Onck

Collective motion is a phenomenon observed across length scales in nature, from bacterial swarming and tissue migration to the flocking of animals. The mechanisms underlying this behavior vary significantly depending on the biological…

Soft Condensed Matter · Physics 2025-01-15 Urvi Mahendra Bora , Mohd Suhail Rizvi

Collective behaviour in suspensions of microswimmers is often dominated by the impact of long-ranged hydrodynamic interactions. These phenomena include active turbulence, where suspensions of pusher bacteria at sufficient densities exhibit…

Soft Condensed Matter · Physics 2019-08-27 Dora Bardfalvy , Henrik Nordanger , Cesare Nardini , Alexander Morozov , Joakim Stenhammar

Suspensions of self-propelled particles, such as swimming micro-organisms, are known to undergo complex dynamics as a result of hydrodynamic interactions. This fluid dynamics video presents a numerical simulation of such a suspension, based…

Fluid Dynamics · Physics 2009-10-20 David Saintillan , Amir Alizadeh Pahlavan

Researchers have long debated which spatial arrangements and swimming synchronizations are beneficial for the hydrodynamic performance of fish in schools. In our previous work (Seo and Mittal, Bioinsp. Biomim., Vol. 17, 066020, 2022), we…

Fluid Dynamics · Physics 2025-07-11 Ji Zhou , Jung-Hee Seo , Rajat Mittal

We study the behavior of classical dimer coverings of the square lattice - a paradigmatic model for systems subject to constraints - evolving under local stochastic dynamics, by means of Monte Carlo simulations and theoretical arguments. We…

Statistical Mechanics · Physics 2016-03-17 Tom Oakes , Juan P. Garrahan , Stephen Powell

Collective states of inanimate particles self-assemble through physical interactions and thermal motion. Despite some phenomenological resemblance, including signatures of criticality, the autonomous dynamics that binds motile agents into…

Soft Condensed Matter · Physics 2023-02-01 Xiangzun Wang , Pin-Chuan Chen , Klaus Kroy , Viktor Holubec , Frank Cichos

Fish typically swim by periodic bending of their bodies. Bending seems to follow a universal rule; it occurs at about one-third from the posterior end of the fish body with a maximum bending angle of about $30^o$. However, the hydrodynamic…

Fluid Dynamics · Physics 2021-12-22 Haotian Hang , Sina Heydari , John H. Costello , Eva Kanso

Collective motion is often modeled within the framework of active fluids, where the constituent active particles, when interactions with other particles are switched off, perform normal diffusion at long times. However, in biology,…

Statistical Mechanics · Physics 2020-04-02 Andrea Cairoli , Chiu Fan Lee

Collective behaviors displayed by groups of social animals are observed frequently in nature. Understanding and predicting the behavior of complex biological systems is dependent on developing effective descriptions and models. While…

Biological Physics · Physics 2020-07-01 Julia A. Giannini , James G. Puckett