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Birds in a flock move in a correlated way, resulting in large polarization of velocities. A good understanding of this collective behavior exists for linear motion of the flock. Yet observing actual birds, the center of mass of the group…

We study spin- and mass-imbalanced mixtures of spin-$\tfrac{1}{2}$ fermions interacting via an attractive contact potential in one spatial dimension. Specifically, we address the influence of unequal particle masses on the pair formation by…

Quantum Gases · Physics 2020-07-29 Lukas Rammelmüller , Joaquín E. Drut , Jens Braun

The exceptional reactivity of animal collectives to predatory attacks is thought to be due to rapid, but local, transfer of information between group members. These groups turn together in unison and produce escape waves. However, it is not…

Populations and Evolution · Quantitative Biology 2015-06-05 James Herbert-Read , Jerome Buhl , Feng Hu , Ashley Ward , David Sumpter

We consider the problem of characterizing the dynamics of interacting swarms after they collide and form a stationary center of mass. Modeling efforts have shown that the collision of near head-on interacting swarms can produce a variety of…

Pattern Formation and Solitons · Physics 2023-06-06 Sayomi Kamimoto , Jason Hindes , Ira Schwartz

We investigate active particles that exhibit long-range interactions only restricted by a field of view, which is characterized by an angle $\beta$. We show that constraining attractive interactions to a field of view leads to the emergence…

Biological Physics · Physics 2026-04-03 Edgardo Brigatti , Fernando Peruani

Environments with immobile obstacles or void regions that inhibit and alter the motion of individuals within that environment are ubiquitous. Correlation in the location of individuals within such environments arises as a combination of the…

Statistics Theory · Mathematics 2019-03-27 Stuart T. Johnston , Edmund J. Crampin

Coordinated collective motion in bird flocks and fish schools inspires algorithms for cohesive swarm robotics. This paper presents a position-based flocking model that achieves persistent velocity alignment without velocity sensing. By…

We consider a self-propelled particle system which has been used to describe certain types of collective motion of animals, such as fish schools and bird flocks. Interactions between particles are specified by means of a pairwise potential,…

Analysis of PDEs · Mathematics 2013-03-05 J. A. Carrillo , S. Martin , V. Panferov

Theoretical models of populations and swarms typically start with the assumption that the motion of agents is governed by the local stimuli. However, an intelligent agent, with some understanding of the laws that govern its habitat, can…

Adaptation and Self-Organizing Systems · Physics 2018-02-07 Nathaniel Rupprecht , Dervis Can Vural

Robot swarms often exhibit emergent behaviors that are fascinating to observe; however, it is often difficult to predict what swarm behaviors can emerge under a given set of agent capabilities. We seek to efficiently leverage human input to…

Multiagent Systems · Computer Science 2023-07-18 Connor Mattson , Daniel S. Brown

Bacteria possess diverse mechanisms to regulate their motility in response to environmental and physiological signals, enabling them to navigate complex habitats and adapt their behavior. Among these mechanisms, interspecies recognition…

Populations and Evolution · Quantitative Biology 2025-12-01 Mattia Mattei , David Soriano Paños , Mahantesh Halappanavar , Alex Arenas

Collective human movement is a hallmark of complex systems, exhibiting emergent order across diverse settings, from pedestrian flows to biological collectives. In high-speed scenarios, alignment interactions ensure efficient flow and…

Physics and Society · Physics 2025-06-03 Debasish Sarker , Yi Zhang , Lynn K. Perry , Daniel S. Messinger , Chaoming Song

Predator-prey relationships are one of the most studied interactions in population ecology. However, little attention has been paid to the possibility of role exchange between species once determined as predators and preys, despite firm…

Populations and Evolution · Quantitative Biology 2014-10-31 Faustino Sánchez-Garduño , Pedro Miramontes , Tatiana T. Marquez-Lago

Swarms of self-propelled particles exhibit complex behavior that can arise from simple models, with large changes in swarm behavior resulting from small changes in model parameters. We investigate the steady-state swarms formed by…

Soft Condensed Matter · Physics 2015-06-03 Nguyen HP Nguyen , Eric Jankowski , Sharon C. Glotzer

We investigate theoretically the time evolution of a one-dimensional system of spin-1/2 fermions in a harmonic trap after, initially, a spiral spin configuration far-from equilibrium is created. We predict a spin segregation building up in…

Quantum Gases · Physics 2011-12-30 Ulrich Ebling , Andre Eckardt , Maciej Lewenstein

The formation of coherent patterns in swarms of interacting self-propelled autonomous agents is a subject of great interest in a wide range of application areas, ranging from engineering and physics to biology. In this paper, we model and…

Adaptation and Self-Organizing Systems · Physics 2016-03-23 Klementyna Szwaykowska , Ira B. Schwartz , Luis Mier-y-Teran Romero , Christoffer R. Heckman , Dan Mox , M. Ani Hsieh

We study pair correlations in cooperative systems placed on complex networks. We show that usually in these systems, the correlations between two interacting objects (e.g., spins), separated by a distance $\ell$, decay, on average, faster…

Statistical Mechanics · Physics 2009-11-11 S. N. Dorogovtsev , A. V. Goltsev , J. F. F. Mendes

Spatial patterning can be crucially important for understanding the behavior of interacting populations. Here we investigate a simple model of parasite and host populations in which parasites are random walkers that must come into contact…

Populations and Evolution · Quantitative Biology 2015-09-07 J. J. Dong , B. Skinner , N. Breecher , B. Schmittmann , R. K. P. Zia

We propose a minimal model of predator-swarm interactions which captures many of the essential dynamics observed in nature. Different outcomes are observed depending on the predator strength. For a "weak" predator, the swarm is able to…

Adaptation and Self-Organizing Systems · Physics 2014-03-14 Yuxin Chen , Theodore Kolokolnikov

Collective behaviours often need to be expressed through numerical features, e.g., for classification or imitation learning. This problem is often addressed by proposing an ad-hoc feature set for a particular swarm behaviour context,…

Robotics · Computer Science 2026-02-16 André Fialho Jesus , Jonas Kuckling