Analysis on Self-Organization Phenomena of Fish Schooling with Molecular Kinetic Model

Abstract

Self-organization is always observed in crowd of different creatures such as animal herds, fish schooling, human crowd and so on. Using molecular kinetic model, we investigated self-organization phenomena of fish schooling. Two kinds of directional function as well as an influence coefficient were introduced in our model considering field of vision angle of fish and we found that directional functions and influence coefficient were the most important factors to produce self-organization phenomena. Moreover, it was assumed that anisotropic properties of fish schooling would produce the phenomena and computer simulation technique was performed to confirm our assumption. Finally, the criteria of directional function to make self-organization were proposed.