Onset of collective and cohesive motion.

By G. Grégoire, Hugues Chaté. Physical Review Letters, 2004

767 citations recorded by the source corpus.

We study the onset of collective motion, with and without cohesion, of groups of noisy self-propelled particles interacting locally. We find that this phase transition, in two space dimensions, is always discontinuous, including for the minimal model of Vicsek et al. [Phys. Rev. Lett. 75, 1226 (1995)]] for which a nontrivial critical point was previously advocated. We also show that cohesion is always lost near onset, as a result of the interplay of density, velocity, and shape fluctuations.

Subfields: Biomedical Engineering, Condensed Matter Physics, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/e59c57013d5817c48ccc52368916068abbcd8113

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Citations in the corpus

Continuum limit of self-driven particles with orientation interaction (2007, methodology): “An important consequence of this result is that the large-scale dynamics of the CVA model does not present any phase transition, in contrast with the observations of [36].”
Particle, kinetic, and hydrodynamic models of swarming (2010, background): “Most of the basic models proposed in the literature are based on discrete models [23, 36, 68, 72] incorporating certain effects that we might call the “first principles” of swarming.”
Hydrodynamics of soft active matter (2013, methodology): “…numerical experiments on microscopic models and the predictions of the coarse-grained theory, including long-range order in d ¼ 2, the form of the propagating modes, anomalous density fluctuations, and superdiffusion of tagged particles (Grégoire and Chaté, 2004; Toner, Tu, and Ramaswamy, 2005).”
Double milling in self-propelled swarms from kinetic theory (2009, background): “The ubiquity of the self-organizing phenomenon has lead to the development of several minimal models to describe a collection of interacting agents, both as discrete particles [35, 18, 10] or as a continuous density [32, 33, 34].”
Active Brownian particles (2012, background): “The model of self-propelled rods provides also an alternative explanation for collective behavior of rod-shaped objects - previous swarming models have achieved aggregation and clustering by assuming attractive long-range interactions [354,142,116,114].”
A well-posedness theory in measures for some kinetic models of collective motion (2009, background): “The physics and applied mathematics literature has proliferated and sprung in this direction in the recent years trying to model these phenomena, mainly based on two strategies of description: individual-based models or particle dynamics [35, 29, 23, 6, 26, 18, 11, 15, 12, 13, 24, 25] and continuum ”
Collective motion and density fluctuations in bacterial colonies (2010, background): “Systems of apolar (bidirectionally moving) particles also exhibit anomalous density fluctuations but with a scaling exponent closer to 1, as found in theory (16), numerics (12), and experiments (7, 38).”
Control Principles of Complex Networks (2015, background): “…it is first or second order), finding that two factors play an important role: (i) the precise way that the noise is introduced into the system; and (ii) the speed v0 with which the agents move (Aldana et al., 2007, 2009; Baglietto and Albano, 2009; Gregoire and Chate, 2004; Pimentel et al., 2008).”
Entropy production in field theories without time reversal symmetry: Quantifying the non-equilibrium character of active matter (2016, background): “[3] Guillaume Grégoire and Hugues Chaté, “Onset of collective and cohesive motion,” Physical review letters 92, 025702 (2004).”