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We study the flocking and pattern formations of active particles with a Vicsek-like model that includes a configuration dependent noise term. In particular, we couple the strength of the noise with both the local density and orientation of…

生物物理 · 物理学 2017-02-09 Kosuke Matsui , John J. Molina

We introduce a Vicsek-like flocking model with a minimal form of time-delayed orientational interactions, in which the delays occur on a time scale that is well-separated from other time scales in the model. We achieve this by implementing…

软凝聚态物质 · 物理学 2025-05-19 Charles R. Packard , Daniel M. Sussman

We propose a minimal microscopic model for active nematic particles similar in spirit to the Vicsek model for self-propelled polar particles. In two dimensions, we show that this model exhibits a Kosterlitz-Thouless-like transition to…

统计力学 · 物理学 2009-11-11 Hugues Chate , Francesco Ginelli , Raul Montagne

Many biological systems form colonies at high density. Passive granular systems will be jammed at such densities, yet for the survival of biological systems it is crucial that they are dynamic. We construct a phase diagram for a system of…

软凝聚态物质 · 物理学 2019-08-13 Daniel R. McCusker , Ruben van Drongelen , Timon Idema

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

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

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

Asymmetric obstacles can be exploited to direct the motion and induce sorting of run-and-tumbling particles. In this work, we show that flocking particles which follow the Vicsek model aligning rules experience a collective trapping in the…

软凝聚态物质 · 物理学 2019-12-02 Raul Martinez , Francisco Alarcon , Juan Luis Aragones , Chantal Valeriani

In this paper, we present a two-species Vicsek model, that describes alignment interactions of self-propelled particles which can either move or not. The model consists in two populations with distinct Vicsek dynamics that interact only via…

数学物理 · 物理学 2014-01-08 Laurent Navoret

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 study a discrete-space model of active matter with excluded volume. Particles are restricted to the sites of a triangular lattice, and can assume one of three orientations. Varying the density and noise intensity, Monte Carlo simulations…

统计力学 · 物理学 2024-07-03 Tiago Venzel Rosembach , Ana Luiza Novaes Dias , Ronald Dickman

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 study clustering and percolation phenomena in the Vicsek model, taken here in its capacity of prototypical model for dry aligning active matter. Our results show that the order-disorder transition is not related in any way to a…

软凝聚态物质 · 物理学 2019-09-04 Nikos Kyriakopoulos , Hugues Chaté , Francesco Ginelli

Aligning self-propelled particles undergo a nonequilibrium flocking transition from apolar to polar phases as their interactions become stronger. We propose a thermodynamically consistent lattice model, in which the internal state of the…

The goal of the present work is to propose an agent-based model that originally combines classical Vicsek-like polarity alignments and contact forces, as implemented in the framework developed by Maury and Venel in [Maury, Venel, 2011]. The…

数值分析 · 数学 2026-04-08 Laurent Navoret , Roxana Sublet , Marcela Szopos

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

Understanding collective self-organization in active matter, such as bird flocks and fish schools, remains a grand challenge in physics. Interactions that induce alignment are essential for flocking; however, alignment alone is generally…

软凝聚态物质 · 物理学 2025-07-01 Julian Giraldo-Barreto , Viktor Holubec

The classic Vicsek model [Phys.Rev.Lett. {\bf75},1226(1995)] is studied in the regime of very low noise intensities, which is shown to be characterized by a cluster (MC) that contains a macroscopic fraction of the system particles. It is…

计算物理 · 物理学 2018-09-26 Lucas Barberis

We use computer simulations to study the onset of collective motion in systems of interacting active particles. Our model is a swarm of active Brownian particles with internal energy depot and interactions inspired by the dissipative…

统计力学 · 物理学 2013-05-31 Vladimir Lobaskin , Maksym Romenskyy