Non-local Interactions in Collective Motion

Overview

Journal R Soc Open Sci

Specialty Science

Date 2021 May 7

PMID 33959323

Citations 3

Authors

Arthur E B T King

Matthew S Turner

Affiliations

Soon will be listed here.

Abstract

The collective motion of animal groups often exhibits velocity-velocity correlations between nearest neighbours, with the strongest velocity correlations observed at the shortest inter-animal spacings. This may have been a motivational factor in the development of models based primarily on short-ranged interactions. Here we ask whether such observations necessarily mean that the interactions are short-ranged. We develop a minimal model of collective motion capable of supporting interactions of arbitrary range and show that it represents a counterexample: the strongest velocity correlations emerge at the shortest distances, even when the interactions are explicitly non-local.

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