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000902578 0247_ $$2doi$$a10.1103/PhysRevResearch.2.042017
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000902578 1001_ $$0P:(DE-HGF)0$$aXue, Tingting$$b0$$eCorresponding author
000902578 245__ $$aSwarming transitions in hierarchical societies
000902578 260__ $$aCollege Park, MD$$bAPS$$c2020
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000902578 520__ $$aSocial hierarchy is central to decision-making in the coordinated movement of many swarming species. Here we propose a hierarchical swarm model in the spirit of the Vicsek model of self-propelled particles. We show that, as the hierarchy becomes important, the swarming transition changes from the weak first-order transition observed for egalitarian populations, to a stronger first-order transition for intermediately strong hierarchies, and finally the discontinuity reduces until vanish, where the order-disorder transition appears to be absent in the extremely despotic societies. Associated to this we observe that the spatial structure of the swarm, as measured by the correlation between the density and velocity fields, is strongly mediated by the hierarchy. A two-group model and vectorial noise are also studied for verification. Our results point out the particular relevance of the hierarchical structures to swarming transitions when doing specific case studies.
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000902578 7001_ $$0P:(DE-HGF)0$$aLi, Xu$$b1
000902578 7001_ $$0P:(DE-Juel1)136887$$aGrassberger, Peter$$b2
000902578 7001_ $$00000-0002-0335-466X$$aChen, Li$$b3
000902578 773__ $$0PERI:(DE-600)3004165-X$$a10.1103/PhysRevResearch.2.042017$$gVol. 2, no. 4, p. 042017$$n4$$p042017$$tPhysical review research$$v2$$x2643-1564$$y2020
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