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@ARTICLE{Xue:902578,
      author       = {Xue, Tingting and Li, Xu and Grassberger, Peter and Chen,
                      Li},
      title        = {{S}warming transitions in hierarchical societies},
      journal      = {Physical review research},
      volume       = {2},
      number       = {4},
      issn         = {2643-1564},
      address      = {College Park, MD},
      publisher    = {APS},
      reportid     = {FZJ-2021-04377},
      pages        = {042017},
      year         = {2020},
      abstract     = {Social 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.},
      cin          = {JSC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
                      (SDLs) and Research Groups (POF4-511)},
      pid          = {G:(DE-HGF)POF4-5111},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000605398900001},
      doi          = {10.1103/PhysRevResearch.2.042017},
      url          = {https://juser.fz-juelich.de/record/902578},
}