English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The Vicsek's model (VM) [T. Vicsek, et. al., Phys. Rev. Lett. 75 (1995) 1226] is a popular approach to study nature of the phase transition of self-propelling system. In this model, the direction of motion of each particle depends on the average velocity of its neighboring particles within a circle of radius R. In this work, we consider a group of shes as the particles, but we assumed that only the individuals of its neighbors within a circle sector with central angle φ (is called angle of view) and radius R, are taken into account the average direction of motion. We used a similar model as the well known XY spin model on a square lattice of linear size L, the particles can move freely on the plane (an o -lattice model). A phase diagram in the space (φ, ξc) has been established where φ = φ/2 ∈ [0, π] and ξc being the critical noise. We showed that ξc strongly depends on the view's angle φ ≥ 0.5π, but slightly varies with φ < 0.5π. So, we can conclude that the schooling behavior of animal is only of the prey species, but not of the predator.

Study on the Phase Transition Behavior of Fishes Schooling System