Complex network structure of flocks in the Vicsek Model with Vectorial Noise?

GABRIEL BAGLIETTO,; EZEQUIEL V ALBANO; CANDIA, J

INTERNATIONAL JOURNAL OF MODERN PHYSICS C

WORLD SCIENTIFIC PUBL CO PTE LTD

Lugar: London, UK; Año: 2014 vol. 25 p. 1350095 - 1350110

0129-1831

In the Vicsek Model (VM), self-driven individuals try to adopt the direction of movement oftheir neighbors under the in°uence of noise, thus leading to a noise-driven order?disorder phasetransition. By implementing the so-called Vectorial Noise (VN) variant of the VM (i.e. the VMVNmodel), this phase transition has been shown to be discontinuous (¯rst-order). In this paper,we perform an extensive complex network study of VM-VN °ocks and show that their topologycan be described as highly clustered, assortative, and nonhierarchical. We also study the behaviorof the VM-VN model in the case of rozen °ocks" in which, after the °ocks are formedusing the full dynamics, particle displacements are suppressed (i.e. only rotations are allowed).Under this kind of restricted dynamics, we show that VM-VN °ocks are unable to support theordered phase. Therefore, we conclude that the particle displacements at every time-step in theVM-VN dynamics are a key element needed to sustain long-range ordering throughout.