TY - JOUR
T1 - Ergodic directional switching in mobile insect groups
AU - Escudero, Carlos
AU - Yates, Christian A.
AU - Buhl, Jerome
AU - Couzin, Iain D.
AU - Erban, Radek
AU - Kevrekidis, Ioannis G.
AU - Maini, Philip K.
PY - 2010/7/29
Y1 - 2010/7/29
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevE.82.011926
DO - 10.1103/PhysRevE.82.011926
M3 - Article
C2 - 20866667
AN - SCOPUS:77955163450
SN - 1539-3755
VL - 82
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 1
M1 - 011926
ER -