Flocks , herds , and schools : A quantitative theory of flocking

  title={Flocks , herds , and schools : A quantitative theory of flocking},
  author={John Toner},
We present a quantitative continuum theory of ‘‘flocking’’: the collective coherent motion of large numbers of self-propelled organisms. In agreement with everyday experience, our model predicts the existence of an ‘‘ordered phase’’ of flocks, in which all members of even an arbitrarily large flock move together with the same mean velocitŷvW &Þ0. This coherent motion of the flock is an example of spontaneously broken symmetry: no preferred direction for the motion is picked out a priori in the… CONTINUE READING
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͓10͔ We thank Stephanie Palmer for suggesting this alternative approach to us

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͓11͔ We thank Paul McEuen for suggesting this realization to us

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