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We studied the formation of complex patterns using a variational principle and a standard energy functional. These patterns evolve by letting the system to search for the optimal configuration of a high conductivity channel, that in one…

General Physics · Physics 2007-05-23 Francisco Vera

Collective locomotion of swimming and flying animals is fascinating in terms of individual-level fluid mechanics and group-level structure and dynamics. Here we bridge and relate these scales through a model of formation flight that views…

Fluid Dynamics · Physics 2025-06-18 Christiana Mavroyiakoumou , Jiajie Wu , Leif Ristroph

We study a minimal model involving two species of particles interacting via quorum-sensing rules. Combining simulations of the microscopic model and linear stability analysis of the associated coarse-grained field theory, we identify a…

Statistical Mechanics · Physics 2023-10-13 Yu Duan , Jaime Agudo-Canalejo , Ramin Golestanian , Benoît Mahault

In one-dimensional, heterogeneous systems, the whole traffic dynamics depend strongly on the behavior of the leading vehicle. This result holds for a class of vehicular traffic models satisfying the following properties. The interactions…

Physics and Society · Physics 2021-06-03 Ricardo S. P. Lopes

This paper extends the forced-oscillation-based reduced-order model of walking to a model with ankles and feet. A human-inspired paradigm was designed for the ankle dynamics, which results in improved gait characteristics compared to the…

Robotics · Computer Science 2025-09-26 Chathura Semasinghe , Siavash Rezazadeh

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

Ants are social insects. When the existing nest of an ant colony becomes uninhabitable, the hunt for a new suitable location for migration of the colony begins. Normally, multiple sites may be available as the potential new nest site.…

Adaptation and Self-Organizing Systems · Physics 2021-05-04 Smriti Pradhan , Swayamshree Patra , Debashish Chowdhury

We discuss biologically inspired, inherently non-equilibrium self-propelled particle models, in which the particles interact with their neighbours by choosing at each time step the local average direction of motion. We summarize some of the…

Statistical Mechanics · Physics 2007-05-23 Andras Czirok , Tamas Vicsek

Most of the grand challenges of humanity today involve complex agent-based systems, such as epidemiology, economics or ecology. However, remains as a pending task the challenge of identifying the general principles underlying their…

General Finance · Quantitative Finance 2020-10-19 Martin Jaraiz

Generally, the normal displacement-based formation control has a sensing mode that requires the agent not only to have certain knowledge of its direction, but also to gather its local information characterized by nonnegative coupling…

Optimization and Control · Mathematics 2023-06-06 Zhen Li , Yang Tang , Yongqing Fan , Tingwen Huang

When two streams of pedestrians cross at an angle, striped patterns spontaneously emerge as a result of local pedestrian interactions. This clear case of self-organized pattern formation remains to be elucidated. In counterflows, with a…

A model of interacting one--dimensional fermions confined to a harmonic trap is proposed. The model is treated analytically to all orders of the coupling constant by a method analogous to that used for the Luttinger model. As a first…

Quantum Physics · Physics 2009-11-06 W. Wonneberger

In the area of urban transportation networks, a growing number of day-to-day (DTD) traffic dynamic theories have been proposed to describe the network flow evolution, and an increasing amount of laboratory experiments have been conducted to…

Physics and Society · Physics 2023-03-08 Hang Qi , Ning Jia , Xiaobo Qu , Zhengbing He

Chemotaxis, i.e. motion generated by chemical gradients, is a motility mode shared by many living species that has been developed by evolution to optimize certain biological processes such as foraging or immune response. In particular,…

Soft Condensed Matter · Physics 2023-05-24 Hugues Meyer , Heiko Rieger

The self-organizing behavior of swarms of inter- acting particles or agents is a topic of intense research in fields extending from biology to physics and robotics. In this paper, we carry out a systematic study of how the stable…

Pattern Formation and Solitons · Physics 2015-03-02 Klimka Szwaykowska , Christoffer Heckman , Luis Mier-y-Teran-Romero , Ira B. Schwartz

Single-file transport, where particles cannot bypass each other, has been observed in various experimental setups. In such systems, the behaviour of a tracer particle (TP) is subdiffusive, which originates from strong correlations between…

Statistical Mechanics · Physics 2019-11-13 Alexis Poncet , Olivier Bénichou , Vincent Démery , Gleb Oshanin

We consider an individual based model of phenotypic evolution in hermaphroditic populations which includes random and assortative mating of individuals. By increasing the number of individuals to infinity we obtain a nonlinear transport…

Probability · Mathematics 2013-09-13 Ryszard Rudnicki , Paweł Zwoleński

We present a novel model to simulate real social networks of complex interactions, based in a granular system of colliding particles (agents). The network is build by keeping track of the collisions and evolves in time with correlations…

Physics and Society · Physics 2009-11-11 M. C. Gonzalez , P. G. Lind , H. J. Herrmann

Interaction patterns at the individual level influence the behaviour of diffusion over contact networks. Most of the current diffusion models only consider direct interactions among individuals to build underlying infectious items…

Social and Information Networks · Computer Science 2019-06-07 Md Shahzamal , Raja Jurdak , Bernard Mans , Frank de Hoog

The process of Vertical handoff has become one of the major components of today's wireless environment due to the availability of the vast variety of signals. The decision for a handoff should be performed catering to the needs of the…

Networking and Internet Architecture · Computer Science 2014-05-08 A. Bhuvaneswari , E. George Dharma Prakash Raj , V. Sinthu Janita Prakash