Self-organized pattern formation in a diverse attractive-repulsive swarmD. E. O. Juanico
National Institute of Physics University of the Philippines - Diliman, Quezon City 1101, Philippines
received 28 December 2008; accepted in final form 30 April 2009; published May 2009
published online 3 June 2009
A diverse, asynchronous swarm consisting of N mobile, attractive-repulsive particles evolves inside a two-dimensional confinement. Each particle k is characterized by a preferred neighboring distance determined from a truncated normal distribution of mean and standard deviation , for . Pairwise particle interaction is either attractive or repulsive depending on whether the distance between two particles is greater or less than . The swarm forms self-organized metastable patterns as particles adjust their positions via random asynchronous evolution. An order parameter U is defined as a measure for pattern metastability, which is found to exhibit a first-order phase transition at = 0.606. For tetrapolar patterns are formed, whereas for stellate patterns are formed. This work explores the role of diversity in self-organized pattern formation in an attractive-repulsive swarm system.
87.23.Cc - Population dynamics and ecological pattern formation.
05.65.+b - Self-organized systems.
87.18.Hf - Spatiotemporal pattern formation in cellular populations.
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