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We study the disorder-to-order transition in a collection of polar self-propelled particles interacting through a distance dependent alignment interaction. Strength of the interaction, $a^{d}$ ($0<a<1$) decays with metric distance $d$…

统计力学 · 物理学 2018-04-02 Sudipta Pattanayak , Shradha Mishra

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

We show that low density homogeneous phases of self propelled hard disks exhibit a transition from isotropic to polar collective motion, albeit of a qualitatively distinct class from the Vicsek one. In the absence of noise, an abrupt…

软凝聚态物质 · 物理学 2016-01-19 Khanh-Dang Nguyen Thu Lam , Michael Schindler , Olivier Dauchot

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

We have carried out a Monte Carlo simulation of a modified version of Vicsek model for the motion of self-propelled particles in two dimensions. In this model the neighborhood of interaction of a particle is a sector of the circle with the…

统计力学 · 物理学 2016-05-24 Mihir Durve , Ahmed Sayeed

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 the collective motion of self-propelled particles affected by the spatial-dependent noise based on the Vicsek rules. Only the particles inside the special region will affected by noise. The consideration of the spatial-dependent…

统计力学 · 物理学 2023-08-16 Jia-xin Qian , Yan-qing Lu

One standard approach to describe the collective behaviour of self-propelled particles is the Vicsek model: point-like self-propelled particles tend to align their migration directions to the ones of their nearer neighbours at each…

软凝聚态物质 · 物理学 2013-11-27 Andreas M. Menzel

Collective behavior in biological systems was first captured by the Vicsek model, in which particles align their velocities in the average direction of neighbors, leading to coherent motion and showing an order-disorder transition. However,…

软凝聚态物质 · 物理学 2026-02-26 Mohit Gaur , Arnab Saha , Subhajit Paul

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 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

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

Self-propelled particles with alignment, displaying ordered collective motions such as swarming, can be investigated by the well-known Vicsek model. However, challenges still remain regarding the nature of the associated phase transition.…

统计力学 · 物理学 2024-11-12 Ruizhe Yan , Jie Su , Jin Wang

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

We investigate a simple Vicsek-type rule-based model for self-propelled particles, where each particle orients itself antiparallel to the average orientation of particles within a defined neighborhood of radius $R$. The particle orientation…

软凝聚态物质 · 物理学 2024-12-17 P. Bisht

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

A model of self-driven particles similar to the Vicsek model [Phys. Rev. Lett. 75 (1995) 1226] but with metric-free interactions is studied by means of a novel Enskog-type kinetic theory. In this model, N particles of constant speed v0 try…

统计力学 · 物理学 2012-08-21 Yen-Liang Chou , Rylan Wolfe , Thomas Ihle

Experimental observations of animal collective behavior have shown stunning evidence for the emergence of large-scale cooperative phenomena resembling phase transitions in physical systems. Indeed, quantitative studies have found scale-free…

统计力学 · 物理学 2013-03-27 Gabriel Baglietto , Ezequiel V. Albano , Julián Candia

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

In our work we have studied a two-dimensional suspension of finite-size Vicsek hard-disks, whose time evolution follows an event-driven dynamics between subsequent time steps. Having compared its collective behaviour with the one expected…

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