title: Effect of vision angle on the phase transition in flocking behavior of animal groups.
abstract: The nature of the phase transition in a system of self-propelling particles has been extensively studied during the past few decades. A theoretical model was proposed by [T. Vicsek et al. Phys. Rev. Lett. 75, 1226 (1995)PRLTAO0031-900710.1103/PhysRevLett.75.1226] with a simple rule for updating the direction of motion of each particle. Based on the model of Vicsek et al., in this paper, we consider a group of animals as particles moving freely in a two-dimensional space. Due to the fact that the viewable area of animals depends on the species, we consider the motion of each individual within an angle φ=ϕ/2 (ϕ is called the angle of view) of a circle centered at its position of radius R. We obtained a phase diagram in the space (φ,η_{c}) with η_{c} being the critical noise. We show that the phase transition exists only in the case of a wide view's angle φ≥0.5π. The flocking of animals is a universal behavior of the species of prey but not the one of the predator. Our simulation results are in good agreement with experimental observation [C. Beccoa et al., Physica A 367, 487 (2006)PHYADX0378-437110.1016/j.physa.2005.11.041].
authors.affiliation: Department of Natural Science, Duytan University, K7/25 Quang Trung, Haichau, Danang, Vietnam.
authors.forename: P The
authors.initials: PT
authors.lastname: Nguyen
authors.affiliation: Division of Fusion and Convergence of Mathematical Sciences, National Institute for Mathematical Sciences, Daejeon, Republic of Korea.
authors.forename: Sang-Hee
authors.initials: SH
authors.lastname: Lee
authors.affiliation: Institute of Physics, Vietnam Academy of Science and Technology, 10 Dao Tan, Ngoc Khanh, Ba Dinh, Hanoi, Vietnam.
authors.forename: V Thanh
authors.initials: VT
authors.lastname: Ngo
mesh_terms: D000818:Animals; D001522:Behavior, Animal; D003198:Computer Simulation; D008954:Models, Biological; D009038:Motion; D009068:Movement; D012919:Social Behavior