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The emergence of collective motion, also known as flocking or swarming, in groups of moving individuals who orient themselves using only information from their neighbors is a very general phenomenon that is manifested at multiple spatial…

统计力学 · 物理学 2016-04-26 David A. Quint , Ajay Gopinathan

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

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

The cohesive collective motion (flocking, swarming) of autonomous agents is ubiquitously observed and exploited in both natural and man-made settings, thus, minimal models for its description are essential. In a model with continuous space…

统计力学 · 物理学 2015-01-12 Illes J. Farkas , Jeromos Kun , Yi Jin , Gaoqi He , Mingliang Xu

We study a single-lane traffic model that is based on human driving behavior. The outflow from a traffic jam self-organizes to a critical state of maximum throughput. Small perturbations of the outflow far downstream create emergent traffic…

adap-org · 物理学 2009-10-28 Kai Nagel , Maya Paczuski

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

By means of a novel variational approach we study ergodic properties of a model of a multi lane traffic flow, considered as a (deterministic) wandering of interacting particles on an infinite lattice. For a class of initial configurations…

混沌动力学 · 物理学 2007-05-23 Michael Blank

The collective motion of interacting self-driven particles describes many types of coordinated dynamics and self-organisation. Prominent examples are alignment or lane formation which can be observed alongside other ordered structures and…

适应与自组织系统 · 物理学 2022-02-24 Basma Khelfa , Raphael Korbmacher , Andreas Schadschneider , Antoine Tordeux

In this paper, we proposed a stochastic model which describes two species of particles moving in counterflow. The model generalizes the theoretical framework describing the transport in random systems since particles can work as mobile…

软凝聚态物质 · 物理学 2017-08-09 Eduardo Velasco Stock , Roberto da Silva , Henrique Almeida Fernandes

We study collective dynamics of interacting deformable self-propelled particles whose migration velocity increases when the local density of particles is increased. Numerical simulations in two dimensions reveal that traveling bands similar…

软凝聚态物质 · 物理学 2015-06-16 Sadato Yamanaka , Takao Ohta

Analytical investigations are made on BML two-dimensional traffic flow model with alternative movement and exclude-volume effect. Several exact results are obtained, including the upper critical density above which there are only jamming…

统计力学 · 物理学 2007-05-23 Y. Shi

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

Traffic jams are an everyday hindrance to transport, and typically arise when many vehicles have the same or a similar destination. We show, however, that even when uniformly distributed in space and uncorrelated, targets have a crucial…

统计力学 · 物理学 2022-01-05 Mathias Casiulis , Daniel Hexner , Dov Levine

We present a comprehensive computational study of the collective behavior emerging from the competition between self-propulsion, excluded volume interactions and velocity-alignment in a two-dimensionnal model of active particles. We…

软凝聚态物质 · 物理学 2018-01-08 Aitor Martín-Gómez , Demian Levis , Albert Díaz-Guilera , Ignacio Pagonabarraga

We present a detailed study of the large-scale collective properties of self-propelled particles (SPPs) moving in two-dimensional heterogeneous space. The impact of spatial heterogeneities on the ordered, collectively moving phase is…

生物物理 · 物理学 2015-08-10 Oleksandr Chepizhko , Fernando Peruani

Phantom traffic jams may emerge ``out of nowhere'' from small fluctuations rather than being triggered by large, exceptional events. We show how phantom jams arise in a model of single lane highway traffic, which mimics human driving…

凝聚态物理 · 物理学 2008-02-03 Maya Paczuski , Kai Nagel

Recently, we proposed a self-propelled particle model with competing alignment interactions: nearby particles tend to align their velocities whereas they anti-align their direction of motion with particles which are further away [R.…

软凝聚态物质 · 物理学 2016-05-02 Robert Großmann , Pawel Romanczuk , Markus Bär , Lutz Schimansky-Geier

We study phase transitions of a system of particles on the one-dimensional integer lattice moving with constant acceleration, with a collision law respecting slower particles. This simple deterministic ``particle-hopping'' traffic flow…

动力系统 · 数学 2009-11-10 Michael Blank

We study two new models of two particle species invading a surface from opposite sides. Collisions of particles of different species lead to the formation of congestion fronts. One of the models implements a reversible process whereas in…

统计力学 · 物理学 2018-11-14 Bastian Burger , Hans J Herrmann

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
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