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We study dynamic self-organisation and order-disorder transitions in a two-dimensional system of self-propelled particles. Our model is a variation of the Vicsek model, where particles align the motion to their neighbours but repel each…

统计力学 · 物理学 2013-05-02 Maksym Romenskyy , Vladimir Lobaskin

In this work we consider the phase transition from ordered to disordered states that occur in the Vicsek model of self-propelled particles. This model was proposed to describe the emergence of collective order in swarming systems. When…

统计力学 · 物理学 2009-07-31 M. Aldana , H. Larralde , B. Vázquez

We study a system of self-propelled particles whose alignment with neighbors depends on the degree of local alignment. We show that such a local conformity interaction naturally yields a Vicsek-type model with pairwise and three-body…

统计力学 · 物理学 2025-12-23 Iván León , Riccardo Muolo , Hiroya Nakao , Keisuke Taga

We present a comprehensive study of Vicsek-style self-propelled particle models in two and three space dimensions. The onset of collective motion in such stochastic models with only local alignment interactions is studied in detail and…

统计力学 · 物理学 2009-11-13 Hugues Chaté , Francesco Ginelli , Guillaume Grégoire , Franck Raynaud

Natural systems are inextricably affected by noise. Within recent decades, the manner in which noise affects the collective behavior of self-organized systems, specifically, has garnered considerable interest from researchers and developers…

最优化与控制 · 数学 2016-07-12 Ge Chen

The emergence of order from initial disordered movement in self-propelled collective motion is an instance of nonequilibrium phase transition, which is known to be first order in the thermodynamic limit. Here, we introduce a multiplicative…

统计力学 · 物理学 2024-04-30 Fatemeh Haghsheno , Mohammad Mehrafarin

An important characteristic of flocks of birds, school of fish, and many similar assemblies of self-propelled particles is the emergence of states of collective order in which the particles move in the same direction. When noise is added…

统计力学 · 物理学 2015-01-19 M. Aldana , V. Dossetti , C. Huepe , V. M. Kenkre , H. Larralde

Animals having a trend to align their velocities to an average of their neighbors' may flock as illustrated by the Vicsek model and its variants. If, in addition, they feel a systematic contrarian trend, the result may be a time periodic…

统计力学 · 物理学 2019-02-06 L L Bonilla , C. Trenado

We propose a comprehensive dynamical model for cooperative motion of self-propelled particles, e.g., flocking, by combining well-known elements such as velocity-alignment interactions, spatial interactions, and angular noise into a unified…

统计力学 · 物理学 2009-05-20 V. Dossetti , F. J. Sevilla , V. M. Kenkre

The phase diagram of self-propelled hard disk systems with Vicsek-type alignment interactions was investigated by event-driven molecular dynamics simulations. The model incorporates two competing order parameters: the polar order-disorder…

软凝聚态物质 · 物理学 2026-03-19 Nobuaki Murase , Masaharu Isobe

The Standard Vicsek Model (SVM) is a minimal nonequilibrium model of self-propelled particles that appears to capture the essential ingredients of critical flocking phenomena. In the SVM, particles tend to align with each other and form…

统计力学 · 物理学 2013-05-13 Gabriel Baglietto , Ezequiel V. Albano , Julián Candia

We study coarse-grained density fluctuations in the disordered phase of the paradigmatic Vicsek-like models of self-propelled particles with alignment interactions and random self-propulsion velocities. By numerically integrating a…

统计力学 · 物理学 2019-05-20 Subhadip Chakraborti , Punyabrata Pradhan

With the aim of understanding the emergence of collective motion from local interactions of organisms in a "noisy" environment, we study biologically inspired, inherently non-equilibrium models consisting of self-propelled particles. In…

生物物理 · 物理学 2009-10-31 A. Czirok , T. Vicsek

We analyze order-disorder phase transitions driven by noise that occur in two kinds of network models closely related to the self-propelled model proposed by Vicsek et. al. to describe the collective motion of groups of organisms…

无序系统与神经网络 · 物理学 2008-02-27 Jaime A. Pimentel , Maximino Aldana , Cristián Huepe , Hernán Larralde

We study a binary metric-free Vicsek model involving two species of self-propelled particles aligning with their Voronoi neighbors, focusing on a weakly nonreciprocal regime, where species $A$ aligns with both $A$ and $B$, but species $B$…

软凝聚态物质 · 物理学 2025-04-04 Tian Tang , Yu Duan , Yu-qiang Ma

Systems composed of interacting self-propelled particles (SPPs) display different forms of order-disorder phase transitions relevant to collective motion. In this paper we propose a generalization of the Vicsek model characterized by an…

适应与自组织系统 · 物理学 2021-04-14 Pau Clusella , Romualdo Pastor-Satorras

We use the method of the microscopic phase density to get the kinetic equation for the system of self-propelled particles with Vicsek-like alignment rule. The hydrodynamic equations are derived for the ordered phase taking into account the…

统计力学 · 物理学 2018-12-24 Oleksandr Chepizhko , Vladimir Kulinskii

We investigate systems of self-propelled particles with alignment interaction. Compared to previous work, the force acting on the particles is not normalized and this modification gives rise to phase transitions from disordered states at…

数学物理 · 物理学 2014-09-25 Pierre Degond , Amic Frouvelle , Jian-Guo Liu

We study the collective behavior of binary mixture of self-propelled particles. Particles moves along their heading direction with {\it variable speed} and interact through short range alignment interaction. A variable speed parameter…

软凝聚态物质 · 物理学 2020-04-22 Jay Prakash Singh , Shradha Mishra

When particles move at a constant speed and have the tendency to align their directions of motion, ordered large scale movement can emerge despite significant levels of noise. Many variants of this model of self-propelled particles have…

生物物理 · 物理学 2012-12-11 Matthias Meschede , Oskar Hallatschek
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