| | |
Summary: Phase Transitions in Systems of Self-Propelled Agents and Related Network Models
M. Aldana,1,2,* V. Dossetti,2
C. Huepe,3
V. M. Kenkre,2
and H. Larralde1
1
Instituto de Ciencias Fi´sicas, Universidad Nacional Auto´noma de Me´xico,
Apartado Postal 48-3, Cuernavaca, Morelos 62251, Me´xico
2
Consortium of the Americas for Interdisciplinary Science, University of New Mexico,
800 Yale Boulevard NE, Albuquerque, New Mexico 87131, USA
3
614 N. Paulina Street, Chicago, Illinois 60622-6062, USA
(Received 5 June 2006; revised manuscript received 19 December 2006; published 2 March 2007)
An important characteristic of flocks of birds, schools of fish, and many similar assemblies of self-
propelled particles is the emergence of states of collective order in which the particles move in the same
direction. When noise is added into the system, the onset of such collective order occurs through a
dynamical phase transition controlled by the noise intensity. While originally thought to be continuous,
the phase transition has been claimed to be discontinuous on the basis of recently reported numerical
evidence. We address this issue by analyzing two representative network models closely related to systems
|
