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One of the most notable features in repulsive particle based active matter systems is motility-induced-phase separation (MIPS) where a dense, often crystalline phase coexists with a low density fluid. In most active matter studies, the…

Soft Condensed Matter · Physics 2024-04-23 P. Forgacs , A. Libal , C. Reichhardt , N. Hengartner , C. J. O. Reichhardt

Turing patterns are a central paradigm for describing spatial patterns in nature. The corresponding theory of reaction-diffusion dynamics combines ideal diffusion with nonlinear reactions, resulting in patterns when species diffuse at…

Biological Physics · Physics 2026-01-28 Cathelijne ter Burg , David Zwicker

Non-reciprocal systems can be thought of as disobeying Newtons third law - an action does not cause an equal and opposite reaction. In recent years there has been a dramatic rise in interest towards such systems. On a fundamental level,…

Statistical Mechanics · Physics 2024-12-06 Sergei Shmakov , Glasha Osipycheva , Peter B. Littlewood

The advances in understanding complex networks have generated increasing interest in dynamical processes occurring on them. Pattern formation in activator-inhibitor systems has been studied in networks, revealing differences from the…

Adaptation and Self-Organizing Systems · Physics 2015-06-09 Nikos E. Kouvaris , Shigefumi Hata , Albert Díaz-Guilera

Active matter spans a wide range of time and length scales, from groups of cells and synthetic self-propelled particles to schools of fish, flocks of birds, or even human crowds. The theoretical framework describing these systems has shown…

Living neuronal networks in dissociated neuronal cultures are widely known for their ability to generate highly robust spatiotemporal activity patterns in various experimental conditions. These include neuronal avalanches satisfying the…

Adaptation and Self-Organizing Systems · Physics 2022-05-17 I. Y. Tyukin , D. Iudin , F. Iudin , T. Tyukina , V. Kazantsev , I. Mukhina , A. N. Gorban

The study of systems with sustained energy uptake and dissipation at the scale of the constituent particles is an area of central interest in nonequilibrium statistical physics. Identifying such systems as a distinct category -- Active…

Statistical Mechanics · Physics 2017-06-07 Sriram Ramaswamy

The emergence of cooperative behavior, despite natural selection favoring rational self-interest, presents a significant evolutionary puzzle. Evolutionary game theory elucidates why cooperative behavior can be advantageous for survival.…

Multiagent Systems · Computer Science 2024-06-24 Daiki Miyagawa , Genki Ichinose

We study a dynamically generated pattern in height gradients, centered around the active growth site, in the steady state of a self-organised interface depinning model. The pattern has a power-law tail and depends on interface slope. An…

Condensed Matter · Physics 2007-05-23 Supriya Krishnamurthy , Mustansir Barma

The Young-Dupr\'e equation is a cornerstone of the equilibrium theory of capillary and wetting phenomena. In the biological world, interfacial phenomena are ubiquitous, from the spreading of bacterial colonies to tissue growth and flocking…

Soft Condensed Matter · Physics 2026-04-16 Yongfeng Zhao , Ruben Zakine , Adrian Daerr , Yariv Kafri , Julien Tailleur , Frédéric van Wijland

Throughout developmental biology and ecology, transport can be driven by nonlocal interactions. Examples include cells that migrate based on contact with pseudopodia extended from other cells, and animals that move based on their vision of…

Pattern Formation and Solitons · Physics 2023-07-07 Thomas Jun Jewell , Andrew L. Krause , Philip K. Maini , Eamonn A. Gaffney

We investigate the physics of an open two-component Dicke model, where the light field mediates non-reciprocal interactions between two spin species. We show that the model, which we dub non-reciprocal Dicke model, exhibits a discrete…

Quantum Physics · Physics 2023-09-19 Ezequiel I. Rodríguez Chiacchio , Andreas Nunnenkamp , Matteo Brunelli

Active matter comprises self-driven units, such as bacteria and synthetic microswimmers, that can spontaneously form complex patterns and assemble into functional microdevices. These processes are possible thanks to the out-of-equilibrium…

Soft Condensed Matter · Physics 2021-11-17 Jens Grauer , Falko Schmidt , Jesus Pineda , Benjamin Midtvedt , Hartmut Löwen , Giovanni Volpe , Benno Liebchen

Nonreciprocal interactions are known to produce distinctive dynamics in active matter. To shed light on how the stationary state of such systems is affected by breaking reciprocity, we consider active Ornstein-Uhlenbeck particles coupled…

Statistical Mechanics · Physics 2025-10-16 Matthew Du , Andriy Goychuk , Suriyanarayanan Vaikuntanathan

This paper investigates the conditions for the stability and emergence of patterns in a new three-component reaction-diffusion system. The system describes the coexistence and interaction of water reservoirs, vegetation, and bushfire…

Analysis of PDEs · Mathematics 2026-04-14 Serena Dipierro , Enrico Valdinoci

We consider the driven dynamics of a probe particle moving through an assembly of particles with competing long-range repulsive and short-range attractive interactions, which form crystal, stripe, labyrinth, and bubble states as the ratio…

Soft Condensed Matter · Physics 2025-01-10 C. Reichhardt , C. J. O. Reichhardt

Active networks made of biopolymers and motor proteins are valuable bioinspired systems that have been used in the last decades to study the cytoskeleton and its self-organization under mechanical stimulation. Different techniques are…

Soft Condensed Matter · Physics 2023-05-15 Vahid Nasirimarekani , Olinka Ramìrez-Soto , Stefan Karpitschka , Isabella Guido

A two species particle model on an open chain with dynamics which is non-conserving in the bulk is introduced. The dynamical rules which define the model obey a symmetry between the two species. The model exhibits a rich behavior which…

Statistical Mechanics · Physics 2009-11-10 E. Levine , R. D. Willmann

Non-motile active matter exhibits a wide range of non-equilibrium collective phenomena yet examples are crucially lacking in the literature. We present a microscopic model inspired by the bacteria {\it Neisseria Meningitidis} in which…

Soft Condensed Matter · Physics 2022-09-21 Henry Alston , Andrew O. Parry , Raphaël Voituriez , Thibault Bertrand

We consider flocking of self-propelling agents in two dimensions, each of which communicates with its neighbors within a limited vision cone. Also, the communication occurs with some delay. The communication among the agents are modeled by…

Soft Condensed Matter · Physics 2018-03-13 Mihir Durve , Arnab Saha , Ahmed Sayeed
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