The Mathematical Institute, University of Oxford, Eprints Archive

Ergodic directional switching in mobile insect groups

Escudero, C. and Yates, C. A. and Buhl, J. and Couzin, I. D. and Erban, R. and Kevrekidis, I. G. (2010) Ergodic directional switching in mobile insect groups. Physical Review E, 82 (1). 011926 (6 pages).

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Abstract

We obtain a Fokker-Planck equation describing experimental data on the collective motion of locusts. The noise is of internal origin and due to the discrete character and finite number of constituents of the swarm. The stationary probability distribution shows a rich phenomenology including nonmonotonic behavior of several order and disorder transition indicators in noise intensity. This complex behavior arises naturally as a result of the randomness in the system. Its counterintuitive character challenges standard interpretations of noise induced transitions and calls for an extension of this theory in order to capture the behavior of certain classes of biologically motivated models. Our results suggest that the collective switches of the group’s direction of motion might be due to a random ergodic effect and, as such, they are inherent to group formation.

Item Type:Article
Subjects:A - C > Biology and other natural sciences
Research Groups:Centre for Mathematical Biology
ID Code:943
Deposited By:Philip Maini
Deposited On:02 Sep 2010 10:53
Last Modified:08 Oct 2012 12:40

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