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      Collective motion

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          Abstract

          We review the observations and the basic laws describing the essential aspects of collective motion -- being one of the most common and spectacular manifestation of coordinated behavior. Our aim is to provide a balanced discussion of the various facets of this highly multidisciplinary field, including experiments, mathematical methods and models for simulations, so that readers with a variety of background could get both the basics and a broader, more detailed picture of the field. The observations we report on include systems consisting of units ranging from macromolecules through metallic rods and robots to groups of animals and people. Some emphasis is put on models that are simple and realistic enough to reproduce the numerous related observations and are useful for developing concepts for a better understanding of the complexity of systems consisting of many simultaneously moving entities. As such, these models allow the establishing of a few fundamental principles of flocking. In particular, it is demonstrated, that in spite of considerable differences, a number of deep analogies exist between equilibrium statistical physics systems and those made of self-propelled (in most cases living) units. In both cases only a few well defined macroscopic/collective states occur and the transitions between these states follow a similar scenario, involving discontinuity and algebraic divergences.

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          Most cited references 60

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          Flocking for Multi-Agent Dynamic Systems: Algorithms and Theory

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            Large-distance and long-time properties of a randomly stirred fluid

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              Concentration wave propagation in two-dimensional liquid-phase self-oscillating system.

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                Author and article information

                Journal
                24 October 2010
                2012-01-26
                Article
                10.1016/j.physrep.2012.03.004
                1010.5017
                f4dbaef7-cfb9-4bcd-8993-34413dd3979c

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Physics Reports, Vol. 517, pp. 71-140, 2012
                Submitted to Physics Reports, Jan, 2012
                cond-mat.stat-mech nlin.AO

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