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相关论文: Consequence of anisotropy on flocking: the discret…

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The aim of the present paper is to elucidate the transition from collective to random behavior exhibited by various mathematical models of bird flocking. In particular, we compare Vicsek's model [Viscek et al., Phys. Rev. Lett. 75, 1226 --…

适应与自组织系统 · 物理学 2015-06-17 H. Christodoulidi , K. van der Weele , Ch. G. Antonopoulos , T. Bountis

Polar flocks in discrete active systems are often assumed to be robust, yet recent studies reveal their fragility under both imposed and spontaneous fluctuations. Here, we revisit the four-state active Potts model (APM) and show that its…

软凝聚态物质 · 物理学 2025-12-15 Swarnajit Chatterjee , Mintu Karmakar , Matthieu Mangeat , Heiko Rieger , Raja Paul

Flocking and vortical are two typical motion modes in active matter. Although it is known that the two modes can spontaneously switch between each other in a finite-size system, the switching dynamics remain elusive. In this work, by…

软凝聚态物质 · 物理学 2024-08-20 Bing Yang , Yanting Wang

Living many-body systems often exhibit scale-free collective behavior reminiscent of thermal critical phenomena. But their mutual interactions are inevitably retarded due to information processing and delayed actuation. We numerically…

软凝聚态物质 · 物理学 2021-12-16 Viktor Holubec , Daniel Geiss , Sarah A. M. Loos , Klaus Kroy , Frank Cichos

We consider the collective behaviour of active particles that locally align with their neighbours. Agent-based simulation models have previously shown that in one dimension, these particles can form into a flock that maintains its stability…

统计力学 · 物理学 2018-12-26 Eoin Ó Laighléis , Martin R. Evans , Richard A. Blythe

High-resolution simulations of particle-based kinetic plasma models typically require a high number of particles and thus often become computationally intractable. This is exacerbated in multi-query simulations, where the problem depends on…

数值分析 · 数学 2023-07-10 Jan S. Hesthaven , Cecilia Pagliantini , Nicolò Ripamonti

We derive equations of motion for the dynamics of anisotropic particles directly from the dissipative Vlasov kinetic equations, with the dissipation given by the double bracket approach (Double Bracket Vlasov, or DBV). The moments of the…

适应与自组织系统 · 物理学 2010-04-26 Darryl D. Holm , Vakhtang Putkaradze , Cesare Tronci

Active nematics undergo spontaneous symmetry breaking and show phase separation instability. Within the prevailing notion that macroscopic properties depend only on symmetries and conservation laws, different microscopic models are used out…

软凝聚态物质 · 物理学 2024-10-08 Arpan Sinha , Debasish Chaudhuri

We study a minimal cognitive flocking model, which assumes that the moving entities navigate using exclusively the available instantaneous visual information. The model consists of active particles, with no memory, that interact by a…

生物物理 · 物理学 2019-12-18 Lucas Barberis , Fernando Peruani

In this work, we investigate an individual-based model (IBM) for self-propelled agents interacting locally on a plane. Agents are characterized by their position, the angle determining their direction of motion, and their angular velocity.…

数学物理 · 物理学 2025-12-22 Sara Merino-Aceituno , Carmela Moschella

In the present work we have studied collectives of active disks with an energy depot, moving in the two-dimensional plane and interacting via excluded volume. The energy depot accounts for the extraction of energy taking place at the level…

软凝聚态物质 · 物理学 2024-07-04 Juan Pablo Miranda , Demian Levis , Chantal Valeriani

We study the stability of the ordered phase of compressible polar flocks against the nucleation of counter-propagating droplets, using a combination of analytical theory, microscopic and hydrodynamic simulations. For discrete-symmetry…

软凝聚态物质 · 物理学 2026-02-20 Omer Granek , Hugues Chaté , Yariv Kafri , Sunghan Ro , Alexandre Solon , Julien Tailleur

We consider a collective behavior model in which individuals try to imitate each others' velocity and have a preferred speed. We show that a phase change phenomenon takes place as diffusion decreases, bringing the system from a "disordered"…

偏微分方程分析 · 数学 2017-03-28 Alethea B. T. Barbaro , José A. Cañizo , José A. Carrillo , Pierre Degond

A hallmark in natural systems, self-organization often stems from very simple interaction rules between individual agents. While single-species self-propelled particle (SPP) systems are well understood, the behavior of binary mixtures with…

软凝聚态物质 · 物理学 2026-03-05 Eloise Lardet , Letian Chen , Thibault Bertrand

We analyze the continuous time evolution of a $d$-dimensional system of $N$ self propelled particles with a kinematic constraint on the velocities inspired by the original Vicsek's one \cite{VCB-JCS}. Interactions among particles are…

数学物理 · 物理学 2014-07-29 Michele Gianfelice , Enza Orlandi

We present and study lattice and off-lattice microscopic models in which particles interact via a local anisotropic rule. The rule induces preferential hopping along one direction, so that a net current sets in if allowed by boundary…

统计力学 · 物理学 2007-05-23 M. Diez-Minguito , P. L. Garrido , J. Marro

Recently, we introduced the active Dyson Brownian motion model (DBM), in which $N$ run-and-tumble particles interact via a logarithmic repulsive potential in the presence of a harmonic well. We found that in a broad range of parameters the…

统计力学 · 物理学 2024-11-08 Leo Touzo , Pierre Le Doussal , Gregory Schehr

We consider the rich variety of collective motion patterns emerging when aligning active particles move in the presence of randomly distributed obstacles - representing quenched noise in two dimensions. In order to get insight into the…

软凝聚态物质 · 物理学 2023-02-21 Danial Vahabli , Tamas Vicsek

Using an approach based on Doi-Peliti field theory, we study several different Active Ising Models (AIMs), in each of which collective motion (flocking) of self-propelled particles arises from the spontaneous breaking of a discrete…

统计力学 · 物理学 2023-10-27 Mattia Scandolo , Johannes Pausch , Michael E. Cates

Flocking refers to collective behavior of a large number of interacting entities, where the interactions between discrete individuals produce collective motion on the large scale. We employ an agent-based model to describe the microscopic…

数值分析 · 数学 2020-12-23 Zhiping Mao , Zhen Li , George Em Karniadakis