I will start by reviewing a recently published article that shows experimental results for the dynamics of collective alignment in small groups of fish. They found that schooling (polarized and coherent motion) is induced by the intrinsic noise of group size, and that the individual dynamics corresponds to that of a fish copying the direction of motion of another fish or spontaneously changing its direction. I will then introduce a simple noisy-voter model to study the ordering properties of this system in a two-dimensional continuous space. We show that in the static case and in the mean-field there is an order-disorder phase transition at zero noise amplitude, while the collective motion in 2D shifts the transition point to positive values that increase with the fish's speed.
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