Biology – Quantitative Biology – Populations and Evolution
Scientific paper
2007-11-21
Phys. Rev. E 78, 011913 (2008)
Biology
Quantitative Biology
Populations and Evolution
12 pages, 4 figures
Scientific paper
10.1103/PhysRevE.78.011913
Emergent pattern formation in self-propelled particle (SPP) systems is extensively studied because it addresses a range of swarming phenomena which occur without leadership. Here we present a dynamic SPP model in which a sensory blind zone is introduced into each particle's zone of interaction. Using numerical simulations we discovered that the degradation of milling patterns with increasing blind zone ranges undergoes two distinct transitions, including a new, spatially nonhomogeneous transition that involves cessation of particles' motion caused by broken symmetries in their interaction fields. Our results also show the necessity of nearly complete panoramic sensory ability for milling behavior to emerge in dynamic SPP models, suggesting a possible relationship between collective behavior and sensory systems of biological organisms.
Newman Jonathan P.
Sayama Hiroki
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