Moving and staying together without a leader

By G. Grégoire, Hugues Chaté, Yuhai Tu. 2003

306 citations recorded by the source corpus.

Abstract A microscopic, stochastic, minimal model for collective and cohesive motion of identical self-propelled particles is introduced. Even though the particles interact strictly locally in a very noisy manner, we show that cohesion can be maintained, even in the zero-density limit of an arbitrarily large flock in an infinite space. The phase diagram spanned by the two main parameters of our model, which encode the tendencies for particles to align and to stay together, contains non-moving “gas”, “liquid” and “solid” phases separated from their moving counterparts by the onset of collective motion. The “gas/liquid” and “liquid/solid” are shown to be first-order phase transitions in all cases. In the cohesive phases, we study also the diffusive properties of individuals and their relation to the macroscopic motion and to the shape of the flock.

Subfields: Computer Networks and Communications, Condensed Matter Physics, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/6e78f7e21798796a51f32f0eb658d2a79024e6a0

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In Computer Networks and Communications

In Condensed Matter Physics

In Molecular Biology

Citations in the corpus

Tuned, driven, and active soft matter (2015, background): “Another route adjusts the migration direction according to an inter-particle potential [420].”
Theory of collective opinion shifts: from smooth trends to abrupt swings (2005, background): “It is therefore not surprising that the understanding of fashion, booms and crashes, opinion shifts and the behaviour of crowds or flocks, has attracted considerable interest in the physics community in the recent years (see [11] for early insights, and [12, 13, 14, 15, 16, 17, 18, 19, 20, 21] for a”
Deciphering Interactions in Moving Animal Groups (2012, background): “Significant features nevertheless may be altered when a qualitatively important feature is changed, such as the symmetry of the aligning interaction, or added, as when local attraction/ repulsion between individuals is also considered [8,24] In this”
State Transitions and the Continuum Limit for a 2D Interacting, Self-Propelled Particle System (2006, background): “It is especially interesting to note that models which give rise to core-free mill patterns all use soft-core potentials and operate in the catastrophic regime [12,14,16–18,33], while those adopting hard-core potentials do not report such patterns [8,11].”