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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 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 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

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

Order can spontaneously emerge from seemingly noisy interactions between biological agents, like a flock of birds changing their direction of flight in unison, without a leader or an external cue. We are interested in the generic conditions…

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

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 study the role of noise on the nature of the transition to collective motion in dry active matter. Starting from field theories that predict a continuous transition at the deterministic level, we show that fluctuations induce a…

We study the effects of noise on the dynamics of a system of coupled self-propelling particles in the case where the coupling is time-delayed, and the delays are discrete and randomly generated. Previous work has demonstrated that the…

斑图形成与孤子 · 物理学 2012-10-08 Brandon Lindley , Luis Mier-y-Teran-Romero , Ira B. Schwartz

One of the most well known features of active matter is the tendencey of self-propelled particles to undergo system-wide collective motion. With low enough rotational noise or high enough global density, these systems spontaneously break…

软凝聚态物质 · 物理学 2024-06-21 Caleb J. Anderson Olivier Dauchot , Alberto Fernandez-Nieves

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

In this paper, we study the phase transition behavior emerging from the interactions among multiple agents in the presence of noise. We propose a simple discrete-time model in which a group of non-mobile agents form either a fixed connected…

最优化与控制 · 数学 2008-10-21 Jialing Liu , Vikas Yadav , Hullas Sehgal , Joshua M. Olson , Haifeng Liu , Nicola Elia

The dynamical organization in the presence of noise of a Boolean neural network with random connections is analyzed. For low levels of noise, the system reaches a stationary state in which the majority of its elements acquire the same…

无序系统与神经网络 · 物理学 2007-05-23 Cristian Huepe , Maximino Aldana

We study a model of flocking in order to describe the transitions during the collective motion of organisms in three dimensions (e.g., birds). In this model the particles representing the organisms are self-propelled, i.e., they move with…

生物物理 · 物理学 2015-06-26 A. Czirok , M. Vicsek , T. Vicsek

We study the collective dynamics of repulsive self-propelled particles. The particles are governed by coupled equations of motion that include polar self-propulsion, damping of velocity and of polarity, repulsive particle-particle…

统计力学 · 物理学 2017-01-04 Takayuki Hiraoka , Takashi Shimada , Nobuyasu Ito

Inspired by the swarming or flocking of animal systems we study groups of agents moving in unbounded 2D space. Individual trajectories derive from a ``bottom-up'' principle: individuals reorient to maximise their future path entropy over…

统计力学 · 物理学 2023-04-21 Harvey L. Devereux , Matthew S. Turner

We undertake a systematic numerical exploration of self-organized states in a deterministic model of interacting self-propelled particles in two dimensions. In the process, we identify various types of collective motion, namely, disordered…

统计力学 · 物理学 2015-03-19 Jihad Touma , Amer Shreim , Leonid Klushin

Active matter systems encompass both natural and artificially created systems consisting of numerous active particles. These particles actively consume energy to propel themselves or exert mechanical forces, leading to intricate behaviors…

统计力学 · 物理学 2026-05-12 Mintu Karmakar

A simple model with a novel type of dynamics is introduced in order to investigate the emergence of self-ordered motion in systems of particles with biologically motivated interaction. In our model particles are driven with a constant…

统计力学 · 物理学 2007-05-23 Tamas Vicsek , Andras Czirok , Eshel Ben-Jacob , Inon Cohen , Ofer Sochet

We propose a new model in order to study behaviors of self-organized system such as a group of animals. We assume that the individuals have two degrees of freedom corresponding one to their internal state and the other to their external…

生物物理 · 物理学 2015-10-23 P. The Nguyen , V. Thanh Ngo , H. T. Diep
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